{
  "problem_id": "auto_problem_095",
  "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n  Joint J5: Force=(0, -49488, 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: 277.72 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": 3522,
  "max_depth": 8,
  "nodes": {
    "node_0": {
      "node_id": "node_0",
      "content": "INITIAL DESIGN (Trace 0)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 208.44 kg\n  Factor of Safety: 0.85\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": 208.43681464806184,
      "fos_buckling": 0.8473006336234902,
      "fos_yielding": 6.180916354143597,
      "deflection": 0.016519933179537233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1": {
      "node_id": "node_1",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.70 kg\n  Factor of Safety: 0.85\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": 227.70305546896915,
      "fos_buckling": 0.8457503069648514,
      "fos_yielding": 5.799036941740581,
      "deflection": 0.013327926521366783,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_0",
      "improvement_over_parent": null
    },
    "node_2": {
      "node_id": "node_2",
      "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0111)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 237.91 kg\n  Factor of Safety: 1.18\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": 237.91418645712795,
      "fos_buckling": 1.1778459061064779,
      "fos_yielding": 5.803983386372109,
      "deflection": 0.012759122870232642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.645)"
      },
      "parent_node_id": "node_1",
      "improvement_over_parent": null
    },
    "node_3": {
      "node_id": "node_3",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0111)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 255.71 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.7056621455324,
      "fos_buckling": 1.2382906469416584,
      "fos_yielding": 7.290257546302373,
      "deflection": 0.011559092893019554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_2",
      "improvement_over_parent": null
    },
    "node_4": {
      "node_id": "node_4",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3",
      "improvement_over_parent": null
    },
    "node_5": {
      "node_id": "node_5",
      "content": "INITIAL DESIGN (Trace 1)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n  Mass: 166.98 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.97675830261448,
      "fos_buckling": 0.9147250195019233,
      "fos_yielding": 5.262878692116409,
      "deflection": 0.01708020991875157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_6": {
      "node_id": "node_6",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n  Mass: 193.17 kg\n  Factor of Safety: 1.04\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": 193.1664157894675,
      "fos_buckling": 1.042088153798986,
      "fos_yielding": 6.088963257269446,
      "deflection": 0.014809919599661363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_5",
      "improvement_over_parent": null
    },
    "node_7": {
      "node_id": "node_7",
      "content": "MODIFICATION: Increase 15 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 197.61 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.6140282730627,
      "fos_buckling": 1.2548859935132581,
      "fos_yielding": 6.058075397864397,
      "deflection": 0.01458419714332326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.471)"
      },
      "parent_node_id": "node_6",
      "improvement_over_parent": null
    },
    "node_8": {
      "node_id": "node_8",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.34 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.34392749537173,
      "fos_buckling": 1.5339714524983363,
      "fos_yielding": 7.740713281249148,
      "deflection": 0.01149254084701204,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_7",
      "improvement_over_parent": null
    },
    "node_9": {
      "node_id": "node_9",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_8",
      "improvement_over_parent": null
    },
    "node_10": {
      "node_id": "node_10",
      "content": "INITIAL DESIGN (Trace 2)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 162.39 kg\n  Factor of Safety: 0.33\n  Max Deflection: 6.61e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.3931657482025,
      "fos_buckling": 0.332304974778096,
      "fos_yielding": 2.4304512443047184,
      "deflection": 0.06609089841188519,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_11": {
      "node_id": "node_11",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 199.66 kg\n  Factor of Safety: 0.39\n  Max Deflection: 5.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.65954297372207,
      "fos_buckling": 0.3930263689348396,
      "fos_yielding": 2.9687493888635075,
      "deflection": 0.054036580401994744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_10",
      "improvement_over_parent": null
    },
    "node_12": {
      "node_id": "node_12",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 224.78 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.78168462556891,
      "fos_buckling": 0.6780072637975201,
      "fos_yielding": 3.853985524261421,
      "deflection": 0.01862608772595099,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_11",
      "improvement_over_parent": null
    },
    "node_13": {
      "node_id": "node_13",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 251.92 kg\n  Factor of Safety: 1.50\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": 251.92020819395137,
      "fos_buckling": 1.4981396690447923,
      "fos_yielding": 7.432493653854399,
      "deflection": 0.011515924916103397,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_12",
      "improvement_over_parent": null
    },
    "node_14": {
      "node_id": "node_14",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.6245290408724,
      "fos_buckling": 1.534754043717121,
      "fos_yielding": 7.750011167772695,
      "deflection": 0.011480982341601949,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_13",
      "improvement_over_parent": null
    },
    "node_15": {
      "node_id": "node_15",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 3)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 144.25 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.19e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.252868254605,
      "fos_buckling": 0.2711991513044967,
      "fos_yielding": 3.359904903458389,
      "deflection": 0.021860103107578067,
      "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 12 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 146.21 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.21231214283927,
      "fos_buckling": 0.27104152779030144,
      "fos_yielding": 3.3604980570261493,
      "deflection": 0.0212191597516297,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.244)"
      },
      "parent_node_id": "node_16",
      "improvement_over_parent": null
    },
    "node_18": {
      "node_id": "node_18",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 183.97 kg\n  Factor of Safety: 0.33\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.97146953091536,
      "fos_buckling": 0.3315462631632066,
      "fos_yielding": 4.230136798612377,
      "deflection": 0.01692517569921563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_17",
      "improvement_over_parent": null
    },
    "node_19": {
      "node_id": "node_19",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n  Mass: 198.81 kg\n  Factor of Safety: 1.26\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": 198.80704245233449,
      "fos_buckling": 1.2612638134909286,
      "fos_yielding": 6.094219515235291,
      "deflection": 0.014498776541416486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005234)"
      },
      "parent_node_id": "node_18",
      "improvement_over_parent": null
    },
    "node_20": {
      "node_id": "node_20",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5915221629205,
      "fos_buckling": 1.5351498141549291,
      "fos_yielding": 7.747696332711318,
      "deflection": 0.011481689229639894,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_19",
      "improvement_over_parent": null
    },
    "node_21": {
      "node_id": "node_21",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 4)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 227.74 kg\n  Factor of Safety: 0.41\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": 227.73777677247114,
      "fos_buckling": 0.40591582559777467,
      "fos_yielding": 5.372106076603575,
      "deflection": 0.014337941156677242,
      "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 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 231.00 kg\n  Factor of Safety: 0.41\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": 230.99608839761055,
      "fos_buckling": 0.4055237040340995,
      "fos_yielding": 5.373684297182794,
      "deflection": 0.013714913326123082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.326)"
      },
      "parent_node_id": "node_22",
      "improvement_over_parent": null
    },
    "node_24": {
      "node_id": "node_24",
      "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.63 kg\n  Factor of Safety: 0.41\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": 233.629211370223,
      "fos_buckling": 0.4052073738702558,
      "fos_yielding": 5.374960374278302,
      "deflection": 0.013391096887719493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.206)"
      },
      "parent_node_id": "node_23",
      "improvement_over_parent": null
    },
    "node_25": {
      "node_id": "node_25",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4772593855352,
      "fos_buckling": 1.5345672836779505,
      "fos_yielding": 7.7443777252164505,
      "deflection": 0.011486860438682446,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_24",
      "improvement_over_parent": null
    },
    "node_26": {
      "node_id": "node_26",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_25",
      "improvement_over_parent": null
    },
    "node_27": {
      "node_id": "node_27",
      "content": "INITIAL DESIGN (Trace 5)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 152.06 kg\n  Factor of Safety: 0.62\n  Max Deflection: 2.21e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.0589211404656,
      "fos_buckling": 0.6232134102129887,
      "fos_yielding": 3.5326458629674535,
      "deflection": 0.02213464104145466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_28": {
      "node_id": "node_28",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 153.91 kg\n  Factor of Safety: 0.62\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": 153.9093377762775,
      "fos_buckling": 0.6229886731660867,
      "fos_yielding": 3.532828439686463,
      "deflection": 0.022137292959936352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.241)"
      },
      "parent_node_id": "node_27",
      "improvement_over_parent": null
    },
    "node_29": {
      "node_id": "node_29",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n\nPerformance:\n  Mass: 166.70 kg\n  Factor of Safety: 0.91\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": 166.69829129308,
      "fos_buckling": 0.9099935118272386,
      "fos_yielding": 4.385953321102888,
      "deflection": 0.017568774294172074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004467)"
      },
      "parent_node_id": "node_28",
      "improvement_over_parent": null
    },
    "node_30": {
      "node_id": "node_30",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n  Mass: 167.18 kg\n  Factor of Safety: 0.91\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": 167.17641542178734,
      "fos_buckling": 0.9074583607382576,
      "fos_yielding": 4.373734492953347,
      "deflection": 0.017515333168594906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001407)"
      },
      "parent_node_id": "node_29",
      "improvement_over_parent": null
    },
    "node_31": {
      "node_id": "node_31",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 207.68 kg\n  Factor of Safety: 1.10\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": 207.6814393062726,
      "fos_buckling": 1.103644589632604,
      "fos_yielding": 5.426917577887422,
      "deflection": 0.014159606711093153,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_30",
      "improvement_over_parent": null
    },
    "node_32": {
      "node_id": "node_32",
      "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 208.19 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.18901934377303,
      "fos_buckling": 1.3389717058893271,
      "fos_yielding": 6.175220898980408,
      "deflection": 0.01405872274035322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.425)"
      },
      "parent_node_id": "node_31",
      "improvement_over_parent": null
    },
    "node_33": {
      "node_id": "node_33",
      "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 212.79 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.78526601687784,
      "fos_buckling": 1.3350889413455027,
      "fos_yielding": 6.523832050037044,
      "deflection": 0.013567911799181286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.346)"
      },
      "parent_node_id": "node_32",
      "improvement_over_parent": null
    },
    "node_34": {
      "node_id": "node_34",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.50060498063004,
      "fos_buckling": 1.5346493814259266,
      "fos_yielding": 7.744993042606978,
      "deflection": 0.011485656704840978,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_33",
      "improvement_over_parent": null
    },
    "node_35": {
      "node_id": "node_35",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_34",
      "improvement_over_parent": null
    },
    "node_36": {
      "node_id": "node_36",
      "content": "INITIAL DESIGN (Trace 6)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 154.38 kg\n  Factor of Safety: 0.30\n  Max Deflection: 4.42e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.3772372325035,
      "fos_buckling": 0.29804438358968083,
      "fos_yielding": 3.2165543286335465,
      "deflection": 0.04418199654056867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_37": {
      "node_id": "node_37",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n  Mass: 156.15 kg\n  Factor of Safety: 0.30\n  Max Deflection: 2.19e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.14684075750117,
      "fos_buckling": 0.2979399199105372,
      "fos_yielding": 3.4413343470722513,
      "deflection": 0.021874875069087394,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002743)"
      },
      "parent_node_id": "node_36",
      "improvement_over_parent": null
    },
    "node_38": {
      "node_id": "node_38",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n  Mass: 196.62 kg\n  Factor of Safety: 0.36\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": 196.62448619425354,
      "fos_buckling": 0.3634212657952946,
      "fos_yielding": 4.342766515917044,
      "deflection": 0.017406087593319762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_37",
      "improvement_over_parent": null
    },
    "node_39": {
      "node_id": "node_39",
      "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n  Mass: 204.36 kg\n  Factor of Safety: 0.36\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": 204.35788812170765,
      "fos_buckling": 0.36258832091588744,
      "fos_yielding": 4.70019653720603,
      "deflection": 0.015265606302982265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.587)"
      },
      "parent_node_id": "node_38",
      "improvement_over_parent": null
    },
    "node_40": {
      "node_id": "node_40",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 233.56 kg\n  Factor of Safety: 0.41\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": 233.5618133252813,
      "fos_buckling": 0.4050996792208702,
      "fos_yielding": 5.3736409983987725,
      "deflection": 0.013394089604950006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_39",
      "improvement_over_parent": null
    },
    "node_41": {
      "node_id": "node_41",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.41 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4098613405935,
      "fos_buckling": 1.5341749640947866,
      "fos_yielding": 7.742323291929847,
      "deflection": 0.01148957196360558,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_40",
      "improvement_over_parent": null
    },
    "node_42": {
      "node_id": "node_42",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_41",
      "improvement_over_parent": null
    },
    "node_43": {
      "node_id": "node_43",
      "content": "INITIAL DESIGN (Trace 7)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 169.40 kg\n  Factor of Safety: 0.92\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": 169.40211933999552,
      "fos_buckling": 0.9223960581197076,
      "fos_yielding": 3.812760591482183,
      "deflection": 0.01735895467940186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_44": {
      "node_id": "node_44",
      "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 169.87 kg\n  Factor of Safety: 0.94\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": 169.86527806096638,
      "fos_buckling": 0.938061907152818,
      "fos_yielding": 5.030499951983968,
      "deflection": 0.017160370161769432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.379)"
      },
      "parent_node_id": "node_43",
      "improvement_over_parent": null
    },
    "node_45": {
      "node_id": "node_45",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 218.68 kg\n  Factor of Safety: 1.18\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.6816599308941,
      "fos_buckling": 1.1752591473173264,
      "fos_yielding": 6.483242298862806,
      "deflection": 0.013399577173264478,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_44",
      "improvement_over_parent": null
    },
    "node_46": {
      "node_id": "node_46",
      "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 218.94 kg\n  Factor of Safety: 1.18\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": 218.9397434399636,
      "fos_buckling": 1.1752931175521721,
      "fos_yielding": 6.486772421334037,
      "deflection": 0.013379142855183893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.233)"
      },
      "parent_node_id": "node_45",
      "improvement_over_parent": null
    },
    "node_47": {
      "node_id": "node_47",
      "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 224.84 kg\n  Factor of Safety: 1.40\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": 224.83820924475373,
      "fos_buckling": 1.3973125797303387,
      "fos_yielding": 6.89049584294969,
      "deflection": 0.01285848657171998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.350)"
      },
      "parent_node_id": "node_46",
      "improvement_over_parent": null
    },
    "node_48": {
      "node_id": "node_48",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46165939716676,
      "fos_buckling": 1.5345084684687573,
      "fos_yielding": 7.739557483434698,
      "deflection": 0.011487600803404071,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_47",
      "improvement_over_parent": null
    },
    "node_49": {
      "node_id": "node_49",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_48",
      "improvement_over_parent": null
    },
    "node_50": {
      "node_id": "node_50",
      "content": "INITIAL DESIGN (Trace 8)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 167.20 kg\n  Factor of Safety: 0.64\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": 167.20330695961096,
      "fos_buckling": 0.6439137981339775,
      "fos_yielding": 3.64342062892966,
      "deflection": 0.018442577327077988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_51": {
      "node_id": "node_51",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 194.22 kg\n  Factor of Safety: 0.73\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": 194.22432788202542,
      "fos_buckling": 0.7292640587375406,
      "fos_yielding": 4.210573048662357,
      "deflection": 0.015931197082391168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_50",
      "improvement_over_parent": null
    },
    "node_52": {
      "node_id": "node_52",
      "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 197.97 kg\n  Factor of Safety: 0.73\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": 197.9683513514717,
      "fos_buckling": 0.7290035018739129,
      "fos_yielding": 4.194822376950488,
      "deflection": 0.015712551714684397,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.258)"
      },
      "parent_node_id": "node_51",
      "improvement_over_parent": null
    },
    "node_53": {
      "node_id": "node_53",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n\nPerformance:\n  Mass: 210.23 kg\n  Factor of Safety: 1.32\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": 210.22694219965163,
      "fos_buckling": 1.3217390737084427,
      "fos_yielding": 6.4459785098756175,
      "deflection": 0.013728951828978826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005106)"
      },
      "parent_node_id": "node_52",
      "improvement_over_parent": null
    },
    "node_54": {
      "node_id": "node_54",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.53070064590926,
      "fos_buckling": 1.5348239304455449,
      "fos_yielding": 7.746828451036461,
      "deflection": 0.011484277257413493,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_53",
      "improvement_over_parent": null
    },
    "node_55": {
      "node_id": "node_55",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_54",
      "improvement_over_parent": null
    },
    "node_56": {
      "node_id": "node_56",
      "content": "INITIAL DESIGN (Trace 9)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 161.32 kg\n  Factor of Safety: 0.61\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": 161.31618153379458,
      "fos_buckling": 0.6142453491260151,
      "fos_yielding": 3.440623378040919,
      "deflection": 0.01919436377385686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_57": {
      "node_id": "node_57",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n  Mass: 171.31 kg\n  Factor of Safety: 1.11\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": 171.30620307495786,
      "fos_buckling": 1.1103253082196347,
      "fos_yielding": 5.24988419672083,
      "deflection": 0.01677345957414202,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004102)"
      },
      "parent_node_id": "node_56",
      "improvement_over_parent": null
    },
    "node_58": {
      "node_id": "node_58",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n  Mass: 223.94 kg\n  Factor of Safety: 1.39\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": 223.93929495024122,
      "fos_buckling": 1.3927326147600512,
      "fos_yielding": 6.867013653070878,
      "deflection": 0.012908574831986326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_57",
      "improvement_over_parent": null
    },
    "node_59": {
      "node_id": "node_59",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47214152244868,
      "fos_buckling": 1.5345697535955287,
      "fos_yielding": 7.744486133798844,
      "deflection": 0.011486958563634606,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_58",
      "improvement_over_parent": null
    },
    "node_60": {
      "node_id": "node_60",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 10)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0023)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 144.26 kg\n  Factor of Safety: 0.29\n  Max Deflection: 4.48e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.26232599514603,
      "fos_buckling": 0.2885694998809997,
      "fos_yielding": 1.030951447087166,
      "deflection": 0.044789240351538126,
      "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: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0023)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n\nPerformance:\n  Mass: 164.34 kg\n  Factor of Safety: 0.71\n  Max Deflection: 2.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.33867594528965,
      "fos_buckling": 0.7074548433254139,
      "fos_yielding": 3.397262196647632,
      "deflection": 0.020857008771952575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006382)"
      },
      "parent_node_id": "node_61",
      "improvement_over_parent": null
    },
    "node_63": {
      "node_id": "node_63",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 205.74 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.73906297546225,
      "fos_buckling": 0.8475648038171284,
      "fos_yielding": 4.235243535311557,
      "deflection": 0.01674421268363481,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_62",
      "improvement_over_parent": null
    },
    "node_64": {
      "node_id": "node_64",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 229.02 kg\n  Factor of Safety: 0.85\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": 229.0249025775595,
      "fos_buckling": 0.8456906008831325,
      "fos_yielding": 4.070078411423219,
      "deflection": 0.013488620542910243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_63",
      "improvement_over_parent": null
    },
    "node_65": {
      "node_id": "node_65",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 243.75 kg\n  Factor of Safety: 1.33\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": 243.74941018621706,
      "fos_buckling": 1.3341781309892693,
      "fos_yielding": 8.419929168562847,
      "deflection": 0.011738188405233406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_64",
      "improvement_over_parent": null
    },
    "node_66": {
      "node_id": "node_66",
      "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0098)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 251.04 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.03745445228827,
      "fos_buckling": 1.34225547310161,
      "fos_yielding": 8.394029407588548,
      "deflection": 0.011613692574867673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.451)"
      },
      "parent_node_id": "node_65",
      "improvement_over_parent": null
    },
    "node_67": {
      "node_id": "node_67",
      "content": "MODIFICATION: Increase 12 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0148)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 261.64 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 261.6350358244933,
      "fos_buckling": 1.3495224623875612,
      "fos_yielding": 8.372739637109266,
      "deflection": 0.011513260309955522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.517)"
      },
      "parent_node_id": "node_66",
      "improvement_over_parent": null
    },
    "node_68": {
      "node_id": "node_68",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 11)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 152.53 kg\n  Factor of Safety: 0.32\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": 152.5301876061469,
      "fos_buckling": 0.32253740283180465,
      "fos_yielding": 1.3040709457043338,
      "deflection": 0.03497758898956781,
      "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 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n\nPerformance:\n  Mass: 169.74 kg\n  Factor of Safety: 0.91\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": 169.73595267647065,
      "fos_buckling": 0.913605265428723,
      "fos_yielding": 3.9957331954975435,
      "deflection": 0.017000251252021592,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005412)"
      },
      "parent_node_id": "node_69",
      "improvement_over_parent": null
    },
    "node_71": {
      "node_id": "node_71",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n  Mass: 201.18 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.17725067724626,
      "fos_buckling": 1.0625501986139307,
      "fos_yielding": 4.7512008852268774,
      "deflection": 0.014393870695049537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_70",
      "improvement_over_parent": null
    },
    "node_72": {
      "node_id": "node_72",
      "content": "MODIFICATION: Increase 15 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 205.68 kg\n  Factor of Safety: 1.07\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": 205.67546953483756,
      "fos_buckling": 1.0698760957291262,
      "fos_yielding": 4.611262546278785,
      "deflection": 0.014005269283903946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.242)"
      },
      "parent_node_id": "node_71",
      "improvement_over_parent": null
    },
    "node_73": {
      "node_id": "node_73",
      "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 205.88 kg\n  Factor of Safety: 1.07\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": 205.8768969862471,
      "fos_buckling": 1.0734088966294482,
      "fos_yielding": 4.619483270746349,
      "deflection": 0.014004429307965117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.391)"
      },
      "parent_node_id": "node_72",
      "improvement_over_parent": null
    },
    "node_74": {
      "node_id": "node_74",
      "content": "MODIFICATION: Increase 9 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 215.03 kg\n  Factor of Safety: 1.07\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": 215.03310555918281,
      "fos_buckling": 1.0732862402216112,
      "fos_yielding": 4.933508811075276,
      "deflection": 0.013392260630278414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.464)"
      },
      "parent_node_id": "node_73",
      "improvement_over_parent": null
    },
    "node_75": {
      "node_id": "node_75",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0119)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0101)]\n\nPerformance:\n  Mass: 264.52 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 264.5247077131821,
      "fos_buckling": 1.2850919313143512,
      "fos_yielding": 6.10485229931643,
      "deflection": 0.010944975646403074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_74",
      "improvement_over_parent": null
    },
    "node_76": {
      "node_id": "node_76",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_75",
      "improvement_over_parent": null
    },
    "node_77": {
      "node_id": "node_77",
      "content": "INITIAL DESIGN (Trace 12)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 164.72 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.715055108551,
      "fos_buckling": 0.344718116939086,
      "fos_yielding": 5.310582998482901,
      "deflection": 0.020516270655305,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_78": {
      "node_id": "node_78",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 182.19 kg\n  Factor of Safety: 0.38\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": 182.19361515158462,
      "fos_buckling": 0.3753152690359148,
      "fos_yielding": 5.8704374921628855,
      "deflection": 0.018580916739790742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_77",
      "improvement_over_parent": null
    },
    "node_79": {
      "node_id": "node_79",
      "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 182.41 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.40595078163878,
      "fos_buckling": 0.3720555675594768,
      "fos_yielding": 5.8194513603977285,
      "deflection": 0.018569258598072857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.182)"
      },
      "parent_node_id": "node_78",
      "improvement_over_parent": null
    },
    "node_80": {
      "node_id": "node_80",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n\nPerformance:\n  Mass: 199.42 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.72e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.41726756785667,
      "fos_buckling": 0.8441447176800666,
      "fos_yielding": 6.168120090345855,
      "deflection": 0.01721842439320837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006068)"
      },
      "parent_node_id": "node_79",
      "improvement_over_parent": null
    },
    "node_81": {
      "node_id": "node_81",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 221.07 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.071358593963,
      "fos_buckling": 0.9173762692354179,
      "fos_yielding": 6.821346884710369,
      "deflection": 0.01556545373729732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_80",
      "improvement_over_parent": null
    },
    "node_82": {
      "node_id": "node_82",
      "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 229.22 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.2192561210016,
      "fos_buckling": 0.9162909641939084,
      "fos_yielding": 6.813276867627816,
      "deflection": 0.014731293785341684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.497)"
      },
      "parent_node_id": "node_81",
      "improvement_over_parent": null
    },
    "node_83": {
      "node_id": "node_83",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.50509572309883,
      "fos_buckling": 1.5347544385076486,
      "fos_yielding": 7.745479656208833,
      "deflection": 0.011486044912317011,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_82",
      "improvement_over_parent": null
    },
    "node_84": {
      "node_id": "node_84",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_83",
      "improvement_over_parent": null
    },
    "node_85": {
      "node_id": "node_85",
      "content": "INITIAL DESIGN (Trace 13)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 209.47 kg\n  Factor of Safety: 0.14\n  Max Deflection: 2.02e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.47172442327974,
      "fos_buckling": 0.13733205430031858,
      "fos_yielding": 1.0170830012966459,
      "deflection": 202379177903338.16,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_86": {
      "node_id": "node_86",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 212.02 kg\n  Factor of Safety: 0.30\n  Max Deflection: 2.54e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.01771658434188,
      "fos_buckling": 0.30196906299866555,
      "fos_yielding": 3.352742819396205,
      "deflection": 25445647964873.62,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_85",
      "improvement_over_parent": null
    },
    "node_87": {
      "node_id": "node_87",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 229.81 kg\n  Factor of Safety: 0.54\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": 229.80919227274632,
      "fos_buckling": 0.538126563911919,
      "fos_yielding": 5.70685516187598,
      "deflection": 0.015052537810027775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_86",
      "improvement_over_parent": null
    },
    "node_88": {
      "node_id": "node_88",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 230.51 kg\n  Factor of Safety: 0.90\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": 230.51351311966735,
      "fos_buckling": 0.901451582989192,
      "fos_yielding": 4.905529243909456,
      "deflection": 0.012754642979930935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_87",
      "improvement_over_parent": null
    },
    "node_89": {
      "node_id": "node_89",
      "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 235.81 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.81388719663178,
      "fos_buckling": 0.9019236303077087,
      "fos_yielding": 5.474586508796893,
      "deflection": 0.01254924018583966,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.616)"
      },
      "parent_node_id": "node_88",
      "improvement_over_parent": null
    },
    "node_90": {
      "node_id": "node_90",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.48417100288884,
      "fos_buckling": 1.5345628881242823,
      "fos_yielding": 7.743940187994217,
      "deflection": 0.011486718633923065,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_89",
      "improvement_over_parent": null
    },
    "node_91": {
      "node_id": "node_91",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_90",
      "improvement_over_parent": null
    },
    "node_92": {
      "node_id": "node_92",
      "content": "INITIAL DESIGN (Trace 14)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_93": {
      "node_id": "node_93",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n\nPerformance:\n  Mass: 142.00 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.19e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.9995036592876,
      "fos_buckling": 0.561075321571719,
      "fos_yielding": 3.0908559701240668,
      "deflection": 0.021925547109746542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003882)"
      },
      "parent_node_id": "node_92",
      "improvement_over_parent": null
    },
    "node_94": {
      "node_id": "node_94",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 161.40 kg\n  Factor of Safety: 0.63\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": 161.3959424437316,
      "fos_buckling": 0.6263652778695962,
      "fos_yielding": 3.500318713229654,
      "deflection": 0.019335986618234196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_93",
      "improvement_over_parent": null
    },
    "node_95": {
      "node_id": "node_95",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n\nPerformance:\n  Mass: 171.62 kg\n  Factor of Safety: 1.14\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": 171.6241791930763,
      "fos_buckling": 1.1412651878398756,
      "fos_yielding": 5.101001655970508,
      "deflection": 0.016965280572404567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004206)"
      },
      "parent_node_id": "node_94",
      "improvement_over_parent": null
    },
    "node_96": {
      "node_id": "node_96",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n\nPerformance:\n  Mass: 200.54 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.54332473091966,
      "fos_buckling": 1.3038662372070637,
      "fos_yielding": 5.963405782791198,
      "deflection": 0.014564271587960148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_95",
      "improvement_over_parent": null
    },
    "node_97": {
      "node_id": "node_97",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 247.20 kg\n  Factor of Safety: 1.55\n  Max Deflection: 1.19e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 247.20321055726205,
      "fos_buckling": 1.5486501716155354,
      "fos_yielding": 7.356920660316087,
      "deflection": 0.011874537156692568,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_96",
      "improvement_over_parent": null
    },
    "node_98": {
      "node_id": "node_98",
      "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.26 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.25592920143478,
      "fos_buckling": 1.5333265029198675,
      "fos_yielding": 7.7377033060950335,
      "deflection": 0.011496728706686478,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.319)"
      },
      "parent_node_id": "node_97",
      "improvement_over_parent": null
    },
    "node_99": {
      "node_id": "node_99",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_98",
      "improvement_over_parent": null
    },
    "node_100": {
      "node_id": "node_100",
      "content": "INITIAL DESIGN (Trace 15)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 143.95 kg\n  Factor of Safety: 0.57\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": 143.95470890080568,
      "fos_buckling": 0.5706674831762351,
      "fos_yielding": 3.1718206195302954,
      "deflection": 0.021264623292961915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_101": {
      "node_id": "node_101",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 185.15 kg\n  Factor of Safety: 0.71\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": 185.1467877529147,
      "fos_buckling": 0.7062432562064229,
      "fos_yielding": 4.053995623896538,
      "deflection": 0.016617741120000543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_100",
      "improvement_over_parent": null
    },
    "node_102": {
      "node_id": "node_102",
      "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 187.85 kg\n  Factor of Safety: 0.71\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": 187.8468525879278,
      "fos_buckling": 0.7060609371407037,
      "fos_yielding": 4.0653132181698775,
      "deflection": 0.01632455759710242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.190)"
      },
      "parent_node_id": "node_101",
      "improvement_over_parent": null
    },
    "node_103": {
      "node_id": "node_103",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n  Mass: 202.09 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.09107024719347,
      "fos_buckling": 1.278832396428571,
      "fos_yielding": 6.1952678586543914,
      "deflection": 0.014268768468963744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005179)"
      },
      "parent_node_id": "node_102",
      "improvement_over_parent": null
    },
    "node_104": {
      "node_id": "node_104",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.52545491083774,
      "fos_buckling": 1.5348777277258807,
      "fos_yielding": 7.7458400020915406,
      "deflection": 0.011484801725058138,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_103",
      "improvement_over_parent": null
    },
    "node_105": {
      "node_id": "node_105",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_104",
      "improvement_over_parent": null
    },
    "node_106": {
      "node_id": "node_106",
      "content": "INITIAL DESIGN (Trace 16)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 194.21 kg\n  Factor of Safety: 0.28\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": 194.20784628438074,
      "fos_buckling": 0.2765128894715865,
      "fos_yielding": 4.110942711960141,
      "deflection": 0.01597851470436074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_107": {
      "node_id": "node_107",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n  Mass: 210.29 kg\n  Factor of Safety: 1.28\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": 210.2915477839451,
      "fos_buckling": 1.2809528541771096,
      "fos_yielding": 6.928598142985124,
      "deflection": 0.013702780795797554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005710)"
      },
      "parent_node_id": "node_106",
      "improvement_over_parent": null
    },
    "node_108": {
      "node_id": "node_108",
      "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n  Mass: 210.46 kg\n  Factor of Safety: 1.28\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": 210.4642816002799,
      "fos_buckling": 1.281126835787157,
      "fos_yielding": 6.953952640155049,
      "deflection": 0.013699772799547308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.435)"
      },
      "parent_node_id": "node_107",
      "improvement_over_parent": null
    },
    "node_109": {
      "node_id": "node_109",
      "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n  Mass: 215.44 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.44244822958484,
      "fos_buckling": 1.3489525829921971,
      "fos_yielding": 6.605927962083125,
      "deflection": 0.013404738538368613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.361)"
      },
      "parent_node_id": "node_108",
      "improvement_over_parent": null
    },
    "node_110": {
      "node_id": "node_110",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5114617116148,
      "fos_buckling": 1.534738577372125,
      "fos_yielding": 7.745820318163125,
      "deflection": 0.011485267296460797,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_109",
      "improvement_over_parent": null
    },
    "node_111": {
      "node_id": "node_111",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_110",
      "improvement_over_parent": null
    },
    "node_112": {
      "node_id": "node_112",
      "content": "INITIAL DESIGN (Trace 17)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n  Mass: 183.40 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.3968438261357,
      "fos_buckling": 0.6868873541994238,
      "fos_yielding": 5.0376788284763405,
      "deflection": 0.020536286573628416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_113": {
      "node_id": "node_113",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n  Mass: 197.64 kg\n  Factor of Safety: 0.68\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.63894787389066,
      "fos_buckling": 0.6799417412806287,
      "fos_yielding": 5.017307037419144,
      "deflection": 0.020237018604944777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005377)"
      },
      "parent_node_id": "node_112",
      "improvement_over_parent": null
    },
    "node_114": {
      "node_id": "node_114",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 213.54 kg\n  Factor of Safety: 0.70\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": 213.543200498535,
      "fos_buckling": 0.7035699036547992,
      "fos_yielding": 3.821714765048484,
      "deflection": 0.01837831292218651,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005682)"
      },
      "parent_node_id": "node_113",
      "improvement_over_parent": null
    },
    "node_115": {
      "node_id": "node_115",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 250.09 kg\n  Factor of Safety: 0.80\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": 250.08868725293456,
      "fos_buckling": 0.8028642707646417,
      "fos_yielding": 4.474639097149129,
      "deflection": 0.015738276226458205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_114",
      "improvement_over_parent": null
    },
    "node_116": {
      "node_id": "node_116",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.63 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.6346794139967,
      "fos_buckling": 1.535314439141614,
      "fos_yielding": 7.744404748857606,
      "deflection": 0.011479947182931083,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_115",
      "improvement_over_parent": null
    },
    "node_117": {
      "node_id": "node_117",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 18)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 180.14 kg\n  Factor of Safety: 0.66\n  Max Deflection: 2.29e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.1428254595852,
      "fos_buckling": 0.6561511610381306,
      "fos_yielding": 4.418184685295598,
      "deflection": 0.022865454102996497,
      "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: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n  Mass: 197.51 kg\n  Factor of Safety: 0.79\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": 197.51247201880733,
      "fos_buckling": 0.79240470590054,
      "fos_yielding": 4.435875064687395,
      "deflection": 0.017233141696001045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006367)"
      },
      "parent_node_id": "node_118",
      "improvement_over_parent": null
    },
    "node_120": {
      "node_id": "node_120",
      "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n  Mass: 206.59 kg\n  Factor of Safety: 0.79\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": 206.592322212807,
      "fos_buckling": 0.7917075663809167,
      "fos_yielding": 4.672028266716935,
      "deflection": 0.016586730239509843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.546)"
      },
      "parent_node_id": "node_119",
      "improvement_over_parent": null
    },
    "node_121": {
      "node_id": "node_121",
      "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0092)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n  Mass: 213.50 kg\n  Factor of Safety: 0.79\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": 213.503942058171,
      "fos_buckling": 0.791177722568848,
      "fos_yielding": 4.5383887468863735,
      "deflection": 0.016331074440210248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.370)"
      },
      "parent_node_id": "node_120",
      "improvement_over_parent": null
    },
    "node_122": {
      "node_id": "node_122",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0092)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0103)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 236.71 kg\n  Factor of Safety: 0.86\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": 236.70586112046226,
      "fos_buckling": 0.8601385179190938,
      "fos_yielding": 5.038000334829932,
      "deflection": 0.014753366489672314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_121",
      "improvement_over_parent": null
    },
    "node_123": {
      "node_id": "node_123",
      "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0092)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0103)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 243.06 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.06412395270786,
      "fos_buckling": 0.8596105943049502,
      "fos_yielding": 5.305229340550116,
      "deflection": 0.014252952811733638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.433)"
      },
      "parent_node_id": "node_122",
      "improvement_over_parent": null
    },
    "node_124": {
      "node_id": "node_124",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0092)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0103)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 243.77 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.7684447996289,
      "fos_buckling": 0.4153497226520615,
      "fos_yielding": 5.305443675689069,
      "deflection": 0.013072245987379098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_123",
      "improvement_over_parent": null
    },
    "node_125": {
      "node_id": "node_125",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0092)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0103)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 262.62 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 262.6164928149411,
      "fos_buckling": 1.2868383423336962,
      "fos_yielding": 7.584496031372514,
      "deflection": 0.011169080481830322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_124",
      "improvement_over_parent": null
    },
    "node_126": {
      "node_id": "node_126",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_125",
      "improvement_over_parent": null
    },
    "node_127": {
      "node_id": "node_127",
      "content": "INITIAL DESIGN (Trace 19)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 151.96 kg\n  Factor of Safety: 0.64\n  Max Deflection: 2.29e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.95816822050773,
      "fos_buckling": 0.6383080674176056,
      "fos_yielding": 3.8227301489618326,
      "deflection": 0.022914819434441028,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_128": {
      "node_id": "node_128",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n  Mass: 194.62 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.62071931970786,
      "fos_buckling": 0.7830547708343158,
      "fos_yielding": 4.855257658559979,
      "deflection": 0.017987280203417888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_127",
      "improvement_over_parent": null
    },
    "node_129": {
      "node_id": "node_129",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 214.45 kg\n  Factor of Safety: 0.85\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": 214.4547238024007,
      "fos_buckling": 0.8454189148965731,
      "fos_yielding": 5.329459425877977,
      "deflection": 0.01636404254706243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_128",
      "improvement_over_parent": null
    },
    "node_130": {
      "node_id": "node_130",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 237.74 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.74056340449795,
      "fos_buckling": 0.8435540895729999,
      "fos_yielding": 5.001835081994583,
      "deflection": 0.013149166670293169,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_129",
      "improvement_over_parent": null
    },
    "node_131": {
      "node_id": "node_131",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46507101315552,
      "fos_buckling": 1.5345389377101708,
      "fos_yielding": 7.744071080335849,
      "deflection": 0.011487325695402256,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_130",
      "improvement_over_parent": null
    },
    "node_132": {
      "node_id": "node_132",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0012)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n\nPerformance:\n  Mass: 102.15 kg\n  Factor of Safety: 0.23\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": 102.15014824481568,
      "fos_buckling": 0.22975434365909397,
      "fos_yielding": 2.6291244758412877,
      "deflection": 0.030620886653816525,
      "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 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0012)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0028)]\n\nPerformance:\n  Mass: 110.30 kg\n  Factor of Safety: 0.66\n  Max Deflection: 2.61e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.30441593517524,
      "fos_buckling": 0.6589553912976188,
      "fos_yielding": 2.586903566583558,
      "deflection": 0.026071439148518696,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.002806)"
      },
      "parent_node_id": "node_133",
      "improvement_over_parent": null
    },
    "node_135": {
      "node_id": "node_135",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 139.46 kg\n  Factor of Safety: 0.82\n  Max Deflection: 2.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.4605838198755,
      "fos_buckling": 0.823722596519221,
      "fos_yielding": 3.2796587695014057,
      "deflection": 0.020687577189666594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_134",
      "improvement_over_parent": null
    },
    "node_136": {
      "node_id": "node_136",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 171.14 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.14281382260043,
      "fos_buckling": 0.9982342714306331,
      "fos_yielding": 4.037161986005384,
      "deflection": 0.016916897585505134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_135",
      "improvement_over_parent": null
    },
    "node_137": {
      "node_id": "node_137",
      "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 171.58 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.580231842686,
      "fos_buckling": 1.1118436487086287,
      "fos_yielding": 5.2566711929809085,
      "deflection": 0.016747383101858273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.359)"
      },
      "parent_node_id": "node_136",
      "improvement_over_parent": null
    },
    "node_138": {
      "node_id": "node_138",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 201.29 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.29417183689074,
      "fos_buckling": 1.274520955990081,
      "fos_yielding": 6.169127095562091,
      "deflection": 0.014323854413568557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_137",
      "improvement_over_parent": null
    },
    "node_139": {
      "node_id": "node_139",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.44953396771953,
      "fos_buckling": 1.5344315285131098,
      "fos_yielding": 7.741477026656627,
      "deflection": 0.011488079344102665,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_138",
      "improvement_over_parent": null
    },
    "node_140": {
      "node_id": "node_140",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_139",
      "improvement_over_parent": null
    },
    "node_141": {
      "node_id": "node_141",
      "content": "INITIAL DESIGN (Trace 21)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 209.04 kg\n  Factor of Safety: 0.84\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": 209.04496813448662,
      "fos_buckling": 0.8382828162584556,
      "fos_yielding": 6.118699339537363,
      "deflection": 0.01639651393951444,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_142": {
      "node_id": "node_142",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.20 kg\n  Factor of Safety: 0.92\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": 233.2046704528689,
      "fos_buckling": 0.915786880563133,
      "fos_yielding": 6.809282718273439,
      "deflection": 0.014738110310552836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_141",
      "improvement_over_parent": null
    },
    "node_143": {
      "node_id": "node_143",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 249.22 kg\n  Factor of Safety: 1.49\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": 249.2248127023513,
      "fos_buckling": 1.4905166026345438,
      "fos_yielding": 7.97383549175859,
      "deflection": 0.011627695732240885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005833)"
      },
      "parent_node_id": "node_142",
      "improvement_over_parent": null
    },
    "node_144": {
      "node_id": "node_144",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0100)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 254.18 kg\n  Factor of Safety: 1.49\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.18221262839091,
      "fos_buckling": 1.4875505318852313,
      "fos_yielding": 7.748220870968073,
      "deflection": 0.011332065938537562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.222)"
      },
      "parent_node_id": "node_143",
      "improvement_over_parent": null
    },
    "node_145": {
      "node_id": "node_145",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_144",
      "improvement_over_parent": null
    },
    "node_146": {
      "node_id": "node_146",
      "content": "INITIAL DESIGN (Trace 22)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 190.90 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.47e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.90272145168134,
      "fos_buckling": 0.371654231382973,
      "fos_yielding": 1.6949155087519892,
      "deflection": 14718929112256.322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_147": {
      "node_id": "node_147",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 205.63 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.62722906033892,
      "fos_buckling": 0.44295314001949504,
      "fos_yielding": 2.5702306637745105,
      "deflection": 0.025667158405100574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_146",
      "improvement_over_parent": null
    },
    "node_148": {
      "node_id": "node_148",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 230.75 kg\n  Factor of Safety: 0.45\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": 230.74937071218577,
      "fos_buckling": 0.4543350502209381,
      "fos_yielding": 5.828298212136332,
      "deflection": 0.013582476561052468,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_147",
      "improvement_over_parent": null
    },
    "node_149": {
      "node_id": "node_149",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.36 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 249.36489676855308,
      "fos_buckling": 1.5236971416974028,
      "fos_yielding": 6.753300735059875,
      "deflection": 0.01162518865596937,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_148",
      "improvement_over_parent": null
    },
    "node_150": {
      "node_id": "node_150",
      "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.12 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.11966273277363,
      "fos_buckling": 1.5232944022653567,
      "fos_yielding": 6.736830222565722,
      "deflection": 0.011543387149041195,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.239)"
      },
      "parent_node_id": "node_149",
      "improvement_over_parent": null
    },
    "node_151": {
      "node_id": "node_151",
      "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.39 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3860028583572,
      "fos_buckling": 1.5233278127444942,
      "fos_yielding": 6.7394247914455265,
      "deflection": 0.011531229270356155,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.182)"
      },
      "parent_node_id": "node_150",
      "improvement_over_parent": null
    },
    "node_152": {
      "node_id": "node_152",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_151",
      "improvement_over_parent": null
    },
    "node_153": {
      "node_id": "node_153",
      "content": "INITIAL DESIGN (Trace 23)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 107.36 kg\n  Factor of Safety: 0.48\n  Max Deflection: 3.48e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.3574562179955,
      "fos_buckling": 0.4798106567041404,
      "fos_yielding": 1.3516540471753256,
      "deflection": 0.03481764082576734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_154": {
      "node_id": "node_154",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n\nPerformance:\n  Mass: 116.44 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.43744558711703,
      "fos_buckling": 0.5089778396655873,
      "fos_yielding": 2.8893707603001353,
      "deflection": 0.030883368363824767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003216)"
      },
      "parent_node_id": "node_153",
      "improvement_over_parent": null
    },
    "node_155": {
      "node_id": "node_155",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n  Mass: 138.00 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.61e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.00494042778925,
      "fos_buckling": 0.5951897325807617,
      "fos_yielding": 3.4379529630925836,
      "deflection": 0.026107430893852344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_154",
      "improvement_over_parent": null
    },
    "node_156": {
      "node_id": "node_156",
      "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n  Mass: 139.53 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.61e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.53226599331694,
      "fos_buckling": 0.5954642328286964,
      "fos_yielding": 3.442300526232691,
      "deflection": 0.026111356449810216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.188)"
      },
      "parent_node_id": "node_155",
      "improvement_over_parent": null
    },
    "node_157": {
      "node_id": "node_157",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n  Mass: 181.05 kg\n  Factor of Safety: 0.75\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.04607172325558,
      "fos_buckling": 0.7507633452420588,
      "fos_yielding": 4.50238124578956,
      "deflection": 0.02019583843887018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_156",
      "improvement_over_parent": null
    },
    "node_158": {
      "node_id": "node_158",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 196.16 kg\n  Factor of Safety: 0.65\n  Max Deflection: 2.00e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.1582012173531,
      "fos_buckling": 0.6541979718377843,
      "fos_yielding": 3.5110757461262248,
      "deflection": 0.01997867984780921,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005478)"
      },
      "parent_node_id": "node_157",
      "improvement_over_parent": null
    },
    "node_159": {
      "node_id": "node_159",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n  Mass: 198.16 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.15512621530115,
      "fos_buckling": 1.2576541671154569,
      "fos_yielding": 6.070972848026659,
      "deflection": 0.014545564564438628,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003121)"
      },
      "parent_node_id": "node_158",
      "improvement_over_parent": null
    },
    "node_160": {
      "node_id": "node_160",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.66530071351684,
      "fos_buckling": 1.535363709317501,
      "fos_yielding": 7.745964584399442,
      "deflection": 0.011478564852708942,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_159",
      "improvement_over_parent": null
    },
    "node_161": {
      "node_id": "node_161",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0021)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n  Mass: 106.07 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.25e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 106.06886260872128,
      "fos_buckling": 0.5124178049788453,
      "fos_yielding": 1.430509860280811,
      "deflection": 0.03251489011168666,
      "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 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 119.66 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.89e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.65779336188753,
      "fos_buckling": 0.5697716112332905,
      "fos_yielding": 1.6112025650880226,
      "deflection": 0.028872559013840164,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_162",
      "improvement_over_parent": null
    },
    "node_164": {
      "node_id": "node_164",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n\nPerformance:\n  Mass: 129.96 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.62e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.96369722837636,
      "fos_buckling": 0.5680707928873412,
      "fos_yielding": 3.366041907595159,
      "deflection": 0.026196063762058866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.003807)"
      },
      "parent_node_id": "node_163",
      "improvement_over_parent": null
    },
    "node_165": {
      "node_id": "node_165",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n  Mass: 141.88 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.10e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.8758767676943,
      "fos_buckling": 0.5674181970892868,
      "fos_yielding": 3.1584595123834416,
      "deflection": 0.021019979825738073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004253)"
      },
      "parent_node_id": "node_164",
      "improvement_over_parent": null
    },
    "node_166": {
      "node_id": "node_166",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 184.32 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.32148220795898,
      "fos_buckling": 0.7083585742413845,
      "fos_yielding": 4.075978201669834,
      "deflection": 0.016270775894589307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_165",
      "improvement_over_parent": null
    },
    "node_167": {
      "node_id": "node_167",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 229.88 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.88334836464512,
      "fos_buckling": 0.8455235289551001,
      "fos_yielding": 5.047220034283433,
      "deflection": 0.013124858230539153,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_166",
      "improvement_over_parent": null
    },
    "node_168": {
      "node_id": "node_168",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 247.67 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.67482405304955,
      "fos_buckling": 1.2632815462697078,
      "fos_yielding": 7.711627182053958,
      "deflection": 0.011632266145381856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_167",
      "improvement_over_parent": null
    },
    "node_169": {
      "node_id": "node_169",
      "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0058)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 248.72 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.71574992261853,
      "fos_buckling": 1.263099670958898,
      "fos_yielding": 7.617607756906525,
      "deflection": 0.011569468991513674,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.570)"
      },
      "parent_node_id": "node_168",
      "improvement_over_parent": null
    },
    "node_170": {
      "node_id": "node_170",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_169",
      "improvement_over_parent": null
    },
    "node_171": {
      "node_id": "node_171",
      "content": "INITIAL DESIGN (Trace 25)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 107.84 kg\n  Factor of Safety: 0.25\n  Max Deflection: 5.54e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.84196471886715,
      "fos_buckling": 0.25234236886197253,
      "fos_yielding": 0.7275559140847405,
      "deflection": 0.05537247897049811,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_172": {
      "node_id": "node_172",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 125.35 kg\n  Factor of Safety: 0.29\n  Max Deflection: 4.77e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.35247815653388,
      "fos_buckling": 0.2887275061014225,
      "fos_yielding": 0.8452679756600865,
      "deflection": 0.047734866990169045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_171",
      "improvement_over_parent": null
    },
    "node_173": {
      "node_id": "node_173",
      "content": "MODIFICATION: Increase 6 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 125.48 kg\n  Factor of Safety: 0.29\n  Max Deflection: 4.67e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.47949663113572,
      "fos_buckling": 0.2887239162422286,
      "fos_yielding": 1.149239590313801,
      "deflection": 0.046673250822078315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.449)"
      },
      "parent_node_id": "node_172",
      "improvement_over_parent": null
    },
    "node_174": {
      "node_id": "node_174",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 161.09 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.65e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.09490731369468,
      "fos_buckling": 0.3587686494740826,
      "fos_yielding": 1.4680056597073232,
      "deflection": 0.03651698214347837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 176.00 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.08e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.00379104795547,
      "fos_buckling": 0.35824761563700647,
      "fos_yielding": 1.4658895379912533,
      "deflection": 0.030834292930067713,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005399)"
      },
      "parent_node_id": "node_174",
      "improvement_over_parent": null
    },
    "node_176": {
      "node_id": "node_176",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.47 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.47276629099008,
      "fos_buckling": 0.4426637133858889,
      "fos_yielding": 1.8812569122616922,
      "deflection": 0.02401229862072731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_175",
      "improvement_over_parent": null
    },
    "node_177": {
      "node_id": "node_177",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.59490794283693,
      "fos_buckling": 1.5351744029112562,
      "fos_yielding": 7.7500748923988265,
      "deflection": 0.011481871067617366,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_176",
      "improvement_over_parent": null
    },
    "node_178": {
      "node_id": "node_178",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_177",
      "improvement_over_parent": null
    },
    "node_179": {
      "node_id": "node_179",
      "content": "INITIAL DESIGN (Trace 26)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 151.20 kg\n  Factor of Safety: 0.31\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": 151.19512816375027,
      "fos_buckling": 0.3109232778977742,
      "fos_yielding": 3.544522702484311,
      "deflection": 0.02028681844236233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_180": {
      "node_id": "node_180",
      "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 154.21 kg\n  Factor of Safety: 0.28\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": 154.21386777489693,
      "fos_buckling": 0.284212058494951,
      "fos_yielding": 3.5448440747386902,
      "deflection": 0.020133717572519007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.477)"
      },
      "parent_node_id": "node_179",
      "improvement_over_parent": null
    },
    "node_181": {
      "node_id": "node_181",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n\nPerformance:\n  Mass: 166.65 kg\n  Factor of Safety: 1.08\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": 166.65430666398393,
      "fos_buckling": 1.0840714705828027,
      "fos_yielding": 5.107075919314913,
      "deflection": 0.017232360247596147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004338)"
      },
      "parent_node_id": "node_180",
      "improvement_over_parent": null
    },
    "node_182": {
      "node_id": "node_182",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n  Mass: 206.15 kg\n  Factor of Safety: 1.30\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": 206.15082164967814,
      "fos_buckling": 1.3003281581812889,
      "fos_yielding": 6.320284276044452,
      "deflection": 0.013993924682709899,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_181",
      "improvement_over_parent": null
    },
    "node_183": {
      "node_id": "node_183",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5219071886899,
      "fos_buckling": 1.534826002619308,
      "fos_yielding": 7.746054618479254,
      "deflection": 0.011484690474277436,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_182",
      "improvement_over_parent": null
    },
    "node_184": {
      "node_id": "node_184",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_183",
      "improvement_over_parent": null
    },
    "node_185": {
      "node_id": "node_185",
      "content": "INITIAL DESIGN (Trace 27)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 157.85 kg\n  Factor of Safety: 1.13\n  Max Deflection: 8.28e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.84953524981344,
      "fos_buckling": 1.1288589009654875,
      "fos_yielding": 6.779662035007957,
      "deflection": 8284015876174.009,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_186": {
      "node_id": "node_186",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n  Mass: 158.48 kg\n  Factor of Safety: 0.43\n  Max Deflection: 9.69e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.4759266794321,
      "fos_buckling": 0.4344230089754708,
      "fos_yielding": 3.3898310175039783,
      "deflection": 9689452730411.34,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001880)"
      },
      "parent_node_id": "node_185",
      "improvement_over_parent": null
    },
    "node_187": {
      "node_id": "node_187",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 178.12 kg\n  Factor of Safety: 0.10\n  Max Deflection: 8.16e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.12069074629235,
      "fos_buckling": 0.09623989083716428,
      "fos_yielding": 0.4237288771879973,
      "deflection": 81649440402308.89,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_186",
      "improvement_over_parent": null
    },
    "node_188": {
      "node_id": "node_188",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 203.24 kg\n  Factor of Safety: 0.21\n  Max Deflection: 3.43e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.2428323981392,
      "fos_buckling": 0.2129843201285246,
      "fos_yielding": 2.3229272550987625,
      "deflection": 34290922067273.01,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_187",
      "improvement_over_parent": null
    },
    "node_189": {
      "node_id": "node_189",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 230.38 kg\n  Factor of Safety: 0.92\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": 230.38135596652165,
      "fos_buckling": 0.9158854039963611,
      "fos_yielding": 6.805313598625077,
      "deflection": 0.014806171230755536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_188",
      "improvement_over_parent": null
    },
    "node_190": {
      "node_id": "node_190",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 249.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 249.64759678742897,
      "fos_buckling": 1.5344819248692754,
      "fos_yielding": 7.722123395696371,
      "deflection": 0.01155587382059727,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_189",
      "improvement_over_parent": null
    },
    "node_191": {
      "node_id": "node_191",
      "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0097)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 254.39 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.38842357649312,
      "fos_buckling": 1.5409917556175068,
      "fos_yielding": 7.97421426746255,
      "deflection": 0.011320454713758227,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.196)"
      },
      "parent_node_id": "node_190",
      "improvement_over_parent": null
    },
    "node_192": {
      "node_id": "node_192",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_191",
      "improvement_over_parent": null
    },
    "node_193": {
      "node_id": "node_193",
      "content": "INITIAL DESIGN (Trace 28)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n  Mass: 160.52 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.60e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.52401694485872,
      "fos_buckling": 1.0139154851614514,
      "fos_yielding": 6.779662035007957,
      "deflection": 15993110870627.666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_194": {
      "node_id": "node_194",
      "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n  Mass: 167.05 kg\n  Factor of Safety: 0.08\n  Max Deflection: 2.91e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.05492504583933,
      "fos_buckling": 0.08370359589615108,
      "fos_yielding": 0.21186443859399864,
      "deflection": 291004594569578.1,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.610)"
      },
      "parent_node_id": "node_193",
      "improvement_over_parent": null
    },
    "node_195": {
      "node_id": "node_195",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n  Mass: 180.81 kg\n  Factor of Safety: 0.36\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": 180.81182130106706,
      "fos_buckling": 0.36260166227121515,
      "fos_yielding": 4.558255656081184,
      "deflection": 0.017387179834551684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004989)"
      },
      "parent_node_id": "node_194",
      "improvement_over_parent": null
    },
    "node_196": {
      "node_id": "node_196",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 234.02 kg\n  Factor of Safety: 0.45\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": 234.01591830595984,
      "fos_buckling": 0.446252939465593,
      "fos_yielding": 5.829113180919514,
      "deflection": 0.01352634337127233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_195",
      "improvement_over_parent": null
    },
    "node_197": {
      "node_id": "node_197",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.63 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.63144436232716,
      "fos_buckling": 1.5352645226602883,
      "fos_yielding": 7.751613962877009,
      "deflection": 0.01147948340682103,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_196",
      "improvement_over_parent": null
    },
    "node_198": {
      "node_id": "node_198",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_197",
      "improvement_over_parent": null
    },
    "node_199": {
      "node_id": "node_199",
      "content": "INITIAL DESIGN (Trace 29)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n  Mass: 168.14 kg\n  Factor of Safety: 0.28\n  Max Deflection: 2.16e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.14299553983867,
      "fos_buckling": 0.2823764277474308,
      "fos_yielding": 4.3486959957957705,
      "deflection": 0.021645141057266688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_200": {
      "node_id": "node_200",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 183.30 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.29888956567993,
      "fos_buckling": 0.7747019391404775,
      "fos_yielding": 5.573486203072262,
      "deflection": 0.0190228492066756,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005394)"
      },
      "parent_node_id": "node_199",
      "improvement_over_parent": null
    },
    "node_201": {
      "node_id": "node_201",
      "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 189.85 kg\n  Factor of Safety: 0.77\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": 189.8540693843555,
      "fos_buckling": 0.7739616422176894,
      "fos_yielding": 5.5681602390119265,
      "deflection": 0.01801493236436647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.479)"
      },
      "parent_node_id": "node_200",
      "improvement_over_parent": null
    },
    "node_202": {
      "node_id": "node_202",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.08 kg\n  Factor of Safety: 0.92\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": 233.08245560051378,
      "fos_buckling": 0.9154596406432128,
      "fos_yielding": 6.806294985365795,
      "deflection": 0.014745870182230041,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_201",
      "improvement_over_parent": null
    },
    "node_203": {
      "node_id": "node_203",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3486964214211,
      "fos_buckling": 1.53411006347626,
      "fos_yielding": 7.739421708492851,
      "deflection": 0.011493105517213158,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_202",
      "improvement_over_parent": null
    },
    "node_204": {
      "node_id": "node_204",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_203",
      "improvement_over_parent": null
    },
    "node_205": {
      "node_id": "node_205",
      "content": "INITIAL DESIGN (Trace 30)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n  Mass: 155.70 kg\n  Factor of Safety: 0.54\n  Max Deflection: 9.27e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.7018092912607,
      "fos_buckling": 0.536286756948192,
      "fos_yielding": 5.690146656255036,
      "deflection": 9274026539083.857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_206": {
      "node_id": "node_206",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n\nPerformance:\n  Mass: 166.64 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.47e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.63569005113774,
      "fos_buckling": 0.6093965805640156,
      "fos_yielding": 4.387826958589038,
      "deflection": 0.024720346688687715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004516)"
      },
      "parent_node_id": "node_205",
      "improvement_over_parent": null
    },
    "node_207": {
      "node_id": "node_207",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n\nPerformance:\n  Mass: 193.65 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.14e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.65358380994385,
      "fos_buckling": 0.6897935742466573,
      "fos_yielding": 5.065991814706524,
      "deflection": 0.02137579732853833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_206",
      "improvement_over_parent": null
    },
    "node_208": {
      "node_id": "node_208",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 194.26 kg\n  Factor of Safety: 0.39\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": 194.26151495079705,
      "fos_buckling": 0.39269936399199096,
      "fos_yielding": 5.064826020814362,
      "deflection": 0.016117128434703885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001820)"
      },
      "parent_node_id": "node_207",
      "improvement_over_parent": null
    },
    "node_209": {
      "node_id": "node_209",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 225.11 kg\n  Factor of Safety: 0.44\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": 225.11378056722447,
      "fos_buckling": 0.4414029293755976,
      "fos_yielding": 5.825641730789477,
      "deflection": 0.013963140581991157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_208",
      "improvement_over_parent": null
    },
    "node_210": {
      "node_id": "node_210",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 243.73 kg\n  Factor of Safety: 1.41\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": 243.72930662359178,
      "fos_buckling": 1.4105528541827725,
      "fos_yielding": 8.437913038603892,
      "deflection": 0.011911287402137538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_209",
      "improvement_over_parent": null
    },
    "node_211": {
      "node_id": "node_211",
      "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0111)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 253.97 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.97256417374467,
      "fos_buckling": 1.4109823763376057,
      "fos_yielding": 8.860040352526049,
      "deflection": 0.011738492346282228,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.639)"
      },
      "parent_node_id": "node_210",
      "improvement_over_parent": null
    },
    "node_212": {
      "node_id": "node_212",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_211",
      "improvement_over_parent": null
    },
    "node_213": {
      "node_id": "node_213",
      "content": "INITIAL DESIGN (Trace 31)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_214": {
      "node_id": "node_214",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 224.75 kg\n  Factor of Safety: 0.92\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": 224.7538683402295,
      "fos_buckling": 0.9165096919169782,
      "fos_yielding": 5.178545686751483,
      "deflection": 0.016120518311619786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_213",
      "improvement_over_parent": null
    },
    "node_215": {
      "node_id": "node_215",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 244.02 kg\n  Factor of Safety: 0.81\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": 244.02010916113682,
      "fos_buckling": 0.8054078573653656,
      "fos_yielding": 4.1121963296441555,
      "deflection": 0.015962962394193494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_214",
      "improvement_over_parent": null
    },
    "node_216": {
      "node_id": "node_216",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 246.57 kg\n  Factor of Safety: 1.46\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.56610132219896,
      "fos_buckling": 1.4638827631041058,
      "fos_yielding": 7.702475671195868,
      "deflection": 0.01165340495885629,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_215",
      "improvement_over_parent": null
    },
    "node_217": {
      "node_id": "node_217",
      "content": "MODIFICATION: Increase 14 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0110)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 255.61 kg\n  Factor of Safety: 1.46\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": 255.60698182846167,
      "fos_buckling": 1.4632676139665166,
      "fos_yielding": 7.327315817896497,
      "deflection": 0.01140733697866358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.546)"
      },
      "parent_node_id": "node_216",
      "improvement_over_parent": null
    },
    "node_218": {
      "node_id": "node_218",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_217",
      "improvement_over_parent": null
    },
    "node_219": {
      "node_id": "node_219",
      "content": "INITIAL DESIGN (Trace 32)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_220": {
      "node_id": "node_220",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 189.27 kg\n  Factor of Safety: 0.77\n  Max Deflection: 8.39e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.2706255143196,
      "fos_buckling": 0.7698166515007098,
      "fos_yielding": 3.3898310175039783,
      "deflection": 8394101875895.836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_219",
      "improvement_over_parent": null
    },
    "node_221": {
      "node_id": "node_221",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 204.31 kg\n  Factor of Safety: 0.43\n  Max Deflection: 7.71e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.30925169828336,
      "fos_buckling": 0.42592551145435037,
      "fos_yielding": 3.3898310175039783,
      "deflection": 7708635544455.182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005491)"
      },
      "parent_node_id": "node_220",
      "improvement_over_parent": null
    },
    "node_222": {
      "node_id": "node_222",
      "content": "MODIFICATION: Increase 10 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0123)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 216.79 kg\n  Factor of Safety: 0.21\n  Max Deflection: 9.82e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.7865316272436,
      "fos_buckling": 0.21296275572717518,
      "fos_yielding": 3.3898310175039783,
      "deflection": 9819092857652.236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.629)"
      },
      "parent_node_id": "node_221",
      "improvement_over_parent": null
    },
    "node_223": {
      "node_id": "node_223",
      "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0123)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 216.91 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.61e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.9120301036605,
      "fos_buckling": 0.6418716965890381,
      "fos_yielding": 3.3898310175039783,
      "deflection": 16056059205590.627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.200)"
      },
      "parent_node_id": "node_222",
      "improvement_over_parent": null
    },
    "node_224": {
      "node_id": "node_224",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0123)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 233.58 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.58231390991756,
      "fos_buckling": 0.47311849888508634,
      "fos_yielding": 4.790393964452416,
      "deflection": 0.01384582970544132,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_223",
      "improvement_over_parent": null
    },
    "node_225": {
      "node_id": "node_225",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0123)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.43 kg\n  Factor of Safety: 1.27\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": 252.43036192522976,
      "fos_buckling": 1.2669202340012242,
      "fos_yielding": 6.624685929181197,
      "deflection": 0.011919481558777421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_224",
      "improvement_over_parent": null
    },
    "node_226": {
      "node_id": "node_226",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_225",
      "improvement_over_parent": null
    },
    "node_227": {
      "node_id": "node_227",
      "content": "INITIAL DESIGN (Trace 33)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0018)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0030)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0020)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0026)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n  Mass: 100.02 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.90e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 100.02440289160953,
      "fos_buckling": 0.5792601331005767,
      "fos_yielding": 3.4758946492539122,
      "deflection": 0.02899883522288053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_228": {
      "node_id": "node_228",
      "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0018)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0030)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0020)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0026)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n  Mass: 102.19 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.78e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 102.19313204204792,
      "fos_buckling": 0.5774033431331556,
      "fos_yielding": 3.6246687929917956,
      "deflection": 0.027820223996606656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.253)"
      },
      "parent_node_id": "node_227",
      "improvement_over_parent": null
    },
    "node_229": {
      "node_id": "node_229",
      "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0030)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0020)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0026)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n  Mass: 105.23 kg\n  Factor of Safety: 0.70\n  Max Deflection: 2.69e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 105.23032290551686,
      "fos_buckling": 0.7009832664071051,
      "fos_yielding": 3.3414676363800155,
      "deflection": 0.02691478323930757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.616)"
      },
      "parent_node_id": "node_228",
      "improvement_over_parent": null
    },
    "node_230": {
      "node_id": "node_230",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0025)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 127.12 kg\n  Factor of Safety: 0.83\n  Max Deflection: 2.23e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.11648117921067,
      "fos_buckling": 0.8347046171342564,
      "fos_yielding": 4.036306641864345,
      "deflection": 0.022337299795808646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_229",
      "improvement_over_parent": null
    },
    "node_231": {
      "node_id": "node_231",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 156.88 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.87525221724192,
      "fos_buckling": 1.00987199400752,
      "fos_yielding": 4.980953332299881,
      "deflection": 0.018162332756367135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_230",
      "improvement_over_parent": null
    },
    "node_232": {
      "node_id": "node_232",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 204.44 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.43966195734203,
      "fos_buckling": 1.273946405157853,
      "fos_yielding": 6.4903930029050505,
      "deflection": 0.014013313322562284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_231",
      "improvement_over_parent": null
    },
    "node_233": {
      "node_id": "node_233",
      "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 207.11 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.1083076607809,
      "fos_buckling": 1.3053611723490184,
      "fos_yielding": 6.348990381594671,
      "deflection": 0.013930504429436318,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.261)"
      },
      "parent_node_id": "node_232",
      "improvement_over_parent": null
    },
    "node_234": {
      "node_id": "node_234",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.75 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.74574577022673,
      "fos_buckling": 1.5358910303308504,
      "fos_yielding": 7.752082791388637,
      "deflection": 0.011474611935483622,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_233",
      "improvement_over_parent": null
    },
    "node_235": {
      "node_id": "node_235",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_234",
      "improvement_over_parent": null
    },
    "node_236": {
      "node_id": "node_236",
      "content": "INITIAL DESIGN (Trace 34)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 147.55 kg\n  Factor of Safety: 0.63\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": 147.55235982073492,
      "fos_buckling": 0.6349955813138637,
      "fos_yielding": 2.889517011751746,
      "deflection": 0.021321159020568064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_237": {
      "node_id": "node_237",
      "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 150.91 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.90546430010335,
      "fos_buckling": 0.6343798001697626,
      "fos_yielding": 2.890389802881807,
      "deflection": 0.021062933315788058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.238)"
      },
      "parent_node_id": "node_236",
      "improvement_over_parent": null
    },
    "node_238": {
      "node_id": "node_238",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 184.70 kg\n  Factor of Safety: 0.75\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": 184.70031451782037,
      "fos_buckling": 0.7510153912450488,
      "fos_yielding": 3.5518154385758747,
      "deflection": 0.017266752451023725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_237",
      "improvement_over_parent": null
    },
    "node_239": {
      "node_id": "node_239",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 215.31 kg\n  Factor of Safety: 0.85\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": 215.30799510706828,
      "fos_buckling": 0.8489275750110078,
      "fos_yielding": 4.156171001582617,
      "deflection": 0.014856862529645663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_238",
      "improvement_over_parent": null
    },
    "node_240": {
      "node_id": "node_240",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 234.16 kg\n  Factor of Safety: 0.84\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": 234.15604312238048,
      "fos_buckling": 0.8443774061044313,
      "fos_yielding": 4.910551805207324,
      "deflection": 0.013255508119427623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_239",
      "improvement_over_parent": null
    },
    "node_241": {
      "node_id": "node_241",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 251.95 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.9475188107849,
      "fos_buckling": 1.4343995943444277,
      "fos_yielding": 6.056787086581144,
      "deflection": 0.011588680488947537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_240",
      "improvement_over_parent": null
    },
    "node_242": {
      "node_id": "node_242",
      "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.55244275053906,
      "fos_buckling": 1.5349392037895038,
      "fos_yielding": 7.744938563605736,
      "deflection": 0.011482954091278454,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.342)"
      },
      "parent_node_id": "node_241",
      "improvement_over_parent": null
    },
    "node_243": {
      "node_id": "node_243",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_242",
      "improvement_over_parent": null
    },
    "node_244": {
      "node_id": "node_244",
      "content": "INITIAL DESIGN (Trace 35)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n\nPerformance:\n  Mass: 111.82 kg\n  Factor of Safety: 0.24\n  Max Deflection: 3.12e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.82240381131774,
      "fos_buckling": 0.24182098572420443,
      "fos_yielding": 3.1750231489032608,
      "deflection": 0.031240286770108715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_245": {
      "node_id": "node_245",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n\nPerformance:\n  Mass: 128.37 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.73e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.37470529851706,
      "fos_buckling": 0.2731106881288675,
      "fos_yielding": 3.630276638245884,
      "deflection": 0.02727059798543883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_244",
      "improvement_over_parent": null
    },
    "node_246": {
      "node_id": "node_246",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 139.73 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.39e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.7261454990085,
      "fos_buckling": 0.6032690893152445,
      "fos_yielding": 4.1905987406192455,
      "deflection": 0.023920718583587505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003965)"
      },
      "parent_node_id": "node_245",
      "improvement_over_parent": null
    },
    "node_247": {
      "node_id": "node_247",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 170.86 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.86114009688114,
      "fos_buckling": 0.7185421427966157,
      "fos_yielding": 5.10824778737627,
      "deflection": 0.01963168412739816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_246",
      "improvement_over_parent": null
    },
    "node_248": {
      "node_id": "node_248",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 193.34 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.33529332051964,
      "fos_buckling": 0.7974965573414097,
      "fos_yielding": 5.7670505478043,
      "deflection": 0.0173941965451071,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_247",
      "improvement_over_parent": null
    },
    "node_249": {
      "node_id": "node_249",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n\nPerformance:\n  Mass: 212.97 kg\n  Factor of Safety: 1.34\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": 212.96603507687766,
      "fos_buckling": 1.3359851445081024,
      "fos_yielding": 6.530482193129875,
      "deflection": 0.013556733348325675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006264)"
      },
      "parent_node_id": "node_248",
      "improvement_over_parent": null
    },
    "node_250": {
      "node_id": "node_250",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.71 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.71125762204298,
      "fos_buckling": 1.535610521224372,
      "fos_yielding": 7.752749907651697,
      "deflection": 0.011476407246335222,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_249",
      "improvement_over_parent": null
    },
    "node_251": {
      "node_id": "node_251",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_250",
      "improvement_over_parent": null
    },
    "node_252": {
      "node_id": "node_252",
      "content": "INITIAL DESIGN (Trace 36)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0022)]\n\nPerformance:\n  Mass: 124.94 kg\n  Factor of Safety: 0.71\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": 124.93879178658035,
      "fos_buckling": 0.7080560473623331,
      "fos_yielding": 4.5212026342216545,
      "deflection": 0.022433963616611458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_253": {
      "node_id": "node_253",
      "content": "MODIFICATION: Increase 15 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n  Mass: 128.49 kg\n  Factor of Safety: 0.80\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": 128.4851022393143,
      "fos_buckling": 0.8040455280487827,
      "fos_yielding": 4.494445122976806,
      "deflection": 0.022032214713846986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.585)"
      },
      "parent_node_id": "node_252",
      "improvement_over_parent": null
    },
    "node_254": {
      "node_id": "node_254",
      "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n  Mass: 130.99 kg\n  Factor of Safety: 0.83\n  Max Deflection: 2.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.99179736047444,
      "fos_buckling": 0.8293617789369738,
      "fos_yielding": 4.285590659327049,
      "deflection": 0.02161489337578843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.340)"
      },
      "parent_node_id": "node_253",
      "improvement_over_parent": null
    },
    "node_255": {
      "node_id": "node_255",
      "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n  Mass: 133.96 kg\n  Factor of Safety: 0.89\n  Max Deflection: 2.14e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.95651073776443,
      "fos_buckling": 0.8932837547425968,
      "fos_yielding": 4.103521918175761,
      "deflection": 0.021359113012955917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.527)"
      },
      "parent_node_id": "node_254",
      "improvement_over_parent": null
    },
    "node_256": {
      "node_id": "node_256",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 171.21 kg\n  Factor of Safety: 1.11\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": 171.21219413286016,
      "fos_buckling": 1.1096622893920445,
      "fos_yielding": 5.247016695152901,
      "deflection": 0.016783059363339386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_255",
      "improvement_over_parent": null
    },
    "node_257": {
      "node_id": "node_257",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 211.69 kg\n  Factor of Safety: 1.33\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": 211.6942407845598,
      "fos_buckling": 1.3292880435139023,
      "fos_yielding": 6.490642702193279,
      "deflection": 0.013636645302051014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_256",
      "improvement_over_parent": null
    },
    "node_258": {
      "node_id": "node_258",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.37 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.36636528539594,
      "fos_buckling": 1.5338834051330648,
      "fos_yielding": 7.7412672985015,
      "deflection": 0.011492009393732756,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_257",
      "improvement_over_parent": null
    },
    "node_259": {
      "node_id": "node_259",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_258",
      "improvement_over_parent": null
    },
    "node_260": {
      "node_id": "node_260",
      "content": "INITIAL DESIGN (Trace 37)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 138.84 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.45e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.84368100918442,
      "fos_buckling": 0.590615542405651,
      "fos_yielding": 4.092856052954084,
      "deflection": 0.024490358510874652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_261": {
      "node_id": "node_261",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n\nPerformance:\n  Mass: 150.31 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.31428133398197,
      "fos_buckling": 0.9901004948765596,
      "fos_yielding": 4.605401411198189,
      "deflection": 0.019069988093701855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004087)"
      },
      "parent_node_id": "node_260",
      "improvement_over_parent": null
    },
    "node_262": {
      "node_id": "node_262",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n  Mass: 171.42 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.42039888946402,
      "fos_buckling": 1.1109648186547971,
      "fos_yielding": 5.253326453215934,
      "deflection": 0.016762559855180378,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_261",
      "improvement_over_parent": null
    },
    "node_263": {
      "node_id": "node_263",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 209.44 kg\n  Factor of Safety: 1.32\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": 209.44252386455253,
      "fos_buckling": 1.317645078638194,
      "fos_yielding": 6.421335028876462,
      "deflection": 0.01377929632992753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_262",
      "improvement_over_parent": null
    },
    "node_264": {
      "node_id": "node_264",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.35571807017303,
      "fos_buckling": 1.5340042815034383,
      "fos_yielding": 7.740812648079047,
      "deflection": 0.011492142223284096,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_263",
      "improvement_over_parent": null
    },
    "node_265": {
      "node_id": "node_265",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_264",
      "improvement_over_parent": null
    },
    "node_266": {
      "node_id": "node_266",
      "content": "INITIAL DESIGN (Trace 38)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 201.10 kg\n  Factor of Safety: 0.85\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": 201.09923413091698,
      "fos_buckling": 0.8498130620443417,
      "fos_yielding": 5.242258342840942,
      "deflection": 0.015727779194798994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_267": {
      "node_id": "node_267",
      "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 207.84 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.8433068405775,
      "fos_buckling": 0.8492665041434891,
      "fos_yielding": 5.026550340963989,
      "deflection": 0.015351997962947714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.447)"
      },
      "parent_node_id": "node_266",
      "improvement_over_parent": null
    },
    "node_268": {
      "node_id": "node_268",
      "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 215.86 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.8558089608549,
      "fos_buckling": 0.8486180624080869,
      "fos_yielding": 5.372132317553411,
      "deflection": 0.01463750901688685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.608)"
      },
      "parent_node_id": "node_267",
      "improvement_over_parent": null
    },
    "node_269": {
      "node_id": "node_269",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 234.70 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.7038569761671,
      "fos_buckling": 0.8440700157272765,
      "fos_yielding": 5.044228970758898,
      "deflection": 0.013142144442959188,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_268",
      "improvement_over_parent": null
    },
    "node_270": {
      "node_id": "node_270",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49533266457152,
      "fos_buckling": 1.5345570275288591,
      "fos_yielding": 7.744585916644508,
      "deflection": 0.01148591666995012,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_269",
      "improvement_over_parent": null
    },
    "node_271": {
      "node_id": "node_271",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_270",
      "improvement_over_parent": null
    },
    "node_272": {
      "node_id": "node_272",
      "content": "INITIAL DESIGN (Trace 39)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 162.18 kg\n  Factor of Safety: 0.22\n  Max Deflection: 9.30e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.18381080270981,
      "fos_buckling": 0.2193419481538786,
      "fos_yielding": 3.3898310175039783,
      "deflection": 9302395098559.635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_273": {
      "node_id": "node_273",
      "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 162.56 kg\n  Factor of Safety: 2.15\n  Max Deflection: 8.51e+12 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 162.56464827013446,
      "fos_buckling": 2.1518352113748325,
      "fos_yielding": 6.779662035007957,
      "deflection": 8510756455843.515,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.294)"
      },
      "parent_node_id": "node_272",
      "improvement_over_parent": null
    },
    "node_274": {
      "node_id": "node_274",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 194.93 kg\n  Factor of Safety: 0.30\n  Max Deflection: 6.07e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.93109604825267,
      "fos_buckling": 0.3019346061311133,
      "fos_yielding": 0.8474577543759946,
      "deflection": 60749055331887.6,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_273",
      "improvement_over_parent": null
    },
    "node_275": {
      "node_id": "node_275",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 211.60 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.03e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.60137985450973,
      "fos_buckling": 1.2077384245244531,
      "fos_yielding": 6.779662035007957,
      "deflection": 10255060859159.934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_274",
      "improvement_over_parent": null
    },
    "node_276": {
      "node_id": "node_276",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 226.33 kg\n  Factor of Safety: 0.36\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": 226.3258874631673,
      "fos_buckling": 0.36059557409658904,
      "fos_yielding": 5.739258135611964,
      "deflection": 0.014391659667948104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_275",
      "improvement_over_parent": null
    },
    "node_277": {
      "node_id": "node_277",
      "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 233.85 kg\n  Factor of Safety: 0.45\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": 233.84763355642207,
      "fos_buckling": 0.44608141954833797,
      "fos_yielding": 5.824092229376394,
      "deflection": 0.013535824296038767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.443)"
      },
      "parent_node_id": "node_276",
      "improvement_over_parent": null
    },
    "node_278": {
      "node_id": "node_278",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46315961278938,
      "fos_buckling": 1.5344468128302862,
      "fos_yielding": 7.743810954532977,
      "deflection": 0.011487002998134778,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_277",
      "improvement_over_parent": null
    },
    "node_279": {
      "node_id": "node_279",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_278",
      "improvement_over_parent": null
    },
    "node_280": {
      "node_id": "node_280",
      "content": "INITIAL DESIGN (Trace 40)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 159.44 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.23e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.44014856244405,
      "fos_buckling": 0.36841813091828146,
      "fos_yielding": 1.694915508751989,
      "deflection": 22268140016653.21,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_281": {
      "node_id": "node_281",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n\nPerformance:\n  Mass: 177.36 kg\n  Factor of Safety: 0.16\n  Max Deflection: 4.50e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.35513757748134,
      "fos_buckling": 0.15789348467926348,
      "fos_yielding": 0.8474577543759945,
      "deflection": 45044550913386.27,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005206)"
      },
      "parent_node_id": "node_280",
      "improvement_over_parent": null
    },
    "node_282": {
      "node_id": "node_282",
      "content": "MODIFICATION: Increase 13 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0080)]\n\nPerformance:\n  Mass: 186.05 kg\n  Factor of Safety: 0.03\n  Max Deflection: 1.07e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.0486274230722,
      "fos_buckling": 0.02710881283470145,
      "fos_yielding": 0.42372887718799723,
      "deflection": 106724473363685.38,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.531)"
      },
      "parent_node_id": "node_281",
      "improvement_over_parent": null
    },
    "node_283": {
      "node_id": "node_283",
      "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0094)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0080)]\n\nPerformance:\n  Mass: 193.35 kg\n  Factor of Safety: 0.05\n  Max Deflection: 5.84e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.35452484456712,
      "fos_buckling": 0.0542176256694029,
      "fos_yielding": 0.8474577543759945,
      "deflection": 58373803806256.86,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.393)"
      },
      "parent_node_id": "node_282",
      "improvement_over_parent": null
    },
    "node_284": {
      "node_id": "node_284",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0094)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0080)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n\nPerformance:\n  Mass: 208.33 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.63e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.33275936569493,
      "fos_buckling": 0.4054965581735766,
      "fos_yielding": 1.7378519332072195,
      "deflection": 0.026332143463620204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005679)"
      },
      "parent_node_id": "node_283",
      "improvement_over_parent": null
    },
    "node_285": {
      "node_id": "node_285",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0105)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0090)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 231.72 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.37e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.71613655952814,
      "fos_buckling": 0.4421493347331245,
      "fos_yielding": 1.927269888519876,
      "deflection": 0.023739196814200298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_284",
      "improvement_over_parent": null
    },
    "node_286": {
      "node_id": "node_286",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0105)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0090)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 256.84 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.838278211375,
      "fos_buckling": 1.2613860380459292,
      "fos_yielding": 7.585708537070471,
      "deflection": 0.011343059320787621,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_285",
      "improvement_over_parent": null
    },
    "node_287": {
      "node_id": "node_287",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_286",
      "improvement_over_parent": null
    },
    "node_288": {
      "node_id": "node_288",
      "content": "INITIAL DESIGN (Trace 41)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 136.14 kg\n  Factor of Safety: 0.54\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": 136.13602651499434,
      "fos_buckling": 0.5364874083986964,
      "fos_yielding": 2.9686190415702445,
      "deflection": 0.022379729623530978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_289": {
      "node_id": "node_289",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 162.79 kg\n  Factor of Safety: 0.63\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": 162.78522968707983,
      "fos_buckling": 0.6261526393623353,
      "fos_yielding": 3.535849589093515,
      "deflection": 0.0187787493102642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_288",
      "improvement_over_parent": null
    },
    "node_290": {
      "node_id": "node_290",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 202.53 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.52970308425975,
      "fos_buckling": 0.7508909362601875,
      "fos_yielding": 4.373615312226669,
      "deflection": 0.015168829034757317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_289",
      "improvement_over_parent": null
    },
    "node_291": {
      "node_id": "node_291",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 234.79 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.79162723005533,
      "fos_buckling": 0.8443769831364498,
      "fos_yielding": 5.046543527238861,
      "deflection": 0.01313720416615475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_290",
      "improvement_over_parent": null
    },
    "node_292": {
      "node_id": "node_292",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.58310291845976,
      "fos_buckling": 1.5351376664781524,
      "fos_yielding": 7.748067140086378,
      "deflection": 0.011481901954381318,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_291",
      "improvement_over_parent": null
    },
    "node_293": {
      "node_id": "node_293",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_292",
      "improvement_over_parent": null
    },
    "node_294": {
      "node_id": "node_294",
      "content": "INITIAL DESIGN (Trace 42)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 162.67 kg\n  Factor of Safety: 0.46\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": 162.6727053535697,
      "fos_buckling": 0.4575490387025321,
      "fos_yielding": 3.389831017503978,
      "deflection": 12121799945590.281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_295": {
      "node_id": "node_295",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 179.58 kg\n  Factor of Safety: 0.61\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": 179.57957237140107,
      "fos_buckling": 0.611017686373796,
      "fos_yielding": 3.415041085973143,
      "deflection": 0.022305091765988872,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006183)"
      },
      "parent_node_id": "node_294",
      "improvement_over_parent": null
    },
    "node_296": {
      "node_id": "node_296",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.63 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.63421840393124,
      "fos_buckling": 0.679451042618866,
      "fos_yielding": 3.8854515163801766,
      "deflection": 0.019624802466048363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_295",
      "improvement_over_parent": null
    },
    "node_297": {
      "node_id": "node_297",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 231.77 kg\n  Factor of Safety: 0.90\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": 231.7727419723137,
      "fos_buckling": 0.9017364396352066,
      "fos_yielding": 3.889585557206693,
      "deflection": 0.012789258303251717,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_296",
      "improvement_over_parent": null
    },
    "node_298": {
      "node_id": "node_298",
      "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 232.52 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.52206987949742,
      "fos_buckling": 0.9017364396352067,
      "fos_yielding": 3.964512134154564,
      "deflection": 0.01275296418519951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.531)"
      },
      "parent_node_id": "node_297",
      "improvement_over_parent": null
    },
    "node_299": {
      "node_id": "node_299",
      "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0074)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 235.06 kg\n  Factor of Safety: 0.90\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": 235.05532520789163,
      "fos_buckling": 0.9019621668034763,
      "fos_yielding": 4.122981187380774,
      "deflection": 0.012683900264452616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.193)"
      },
      "parent_node_id": "node_298",
      "improvement_over_parent": null
    },
    "node_300": {
      "node_id": "node_300",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0074)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 251.73 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.7256090141487,
      "fos_buckling": 1.4251443539785842,
      "fos_yielding": 7.9544861329883245,
      "deflection": 0.011714956165299377,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_299",
      "improvement_over_parent": null
    },
    "node_301": {
      "node_id": "node_301",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_300",
      "improvement_over_parent": null
    },
    "node_302": {
      "node_id": "node_302",
      "content": "INITIAL DESIGN (Trace 43)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 201.42 kg\n  Factor of Safety: 0.70\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": 201.42037726363196,
      "fos_buckling": 0.7006911446923151,
      "fos_yielding": 3.2009992426404166,
      "deflection": 0.018961557978849443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_303": {
      "node_id": "node_303",
      "content": "MODIFICATION: Increase 14 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 206.23 kg\n  Factor of Safety: 0.70\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": 206.22654188376464,
      "fos_buckling": 0.703355905557774,
      "fos_yielding": 2.9976688016199917,
      "deflection": 0.018810262918755045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.479)"
      },
      "parent_node_id": "node_302",
      "improvement_over_parent": null
    },
    "node_304": {
      "node_id": "node_304",
      "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 206.37 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.3742097124882,
      "fos_buckling": 0.695335757232037,
      "fos_yielding": 3.773649679471007,
      "deflection": 0.018702657710462443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.359)"
      },
      "parent_node_id": "node_303",
      "improvement_over_parent": null
    },
    "node_305": {
      "node_id": "node_305",
      "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 209.81 kg\n  Factor of Safety: 0.69\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": 209.80845685429964,
      "fos_buckling": 0.6931282503559153,
      "fos_yielding": 3.754299680786947,
      "deflection": 0.018698932595073568,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.230)"
      },
      "parent_node_id": "node_304",
      "improvement_over_parent": null
    },
    "node_306": {
      "node_id": "node_306",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.74 kg\n  Factor of Safety: 0.80\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": 249.73726706668685,
      "fos_buckling": 0.8019976941654245,
      "fos_yielding": 4.46757967908056,
      "deflection": 0.01575917961406899,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_305",
      "improvement_over_parent": null
    },
    "node_307": {
      "node_id": "node_307",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.28 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.283259227749,
      "fos_buckling": 1.5336642259666717,
      "fos_yielding": 7.744039277177425,
      "deflection": 0.011494924286120345,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_306",
      "improvement_over_parent": null
    },
    "node_308": {
      "node_id": "node_308",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_307",
      "improvement_over_parent": null
    },
    "node_309": {
      "node_id": "node_309",
      "content": "INITIAL DESIGN (Trace 44)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 202.78 kg\n  Factor of Safety: 0.37\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": 202.77785164990237,
      "fos_buckling": 0.36710014725937773,
      "fos_yielding": 4.76049158631843,
      "deflection": 0.015869312683035028,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_310": {
      "node_id": "node_310",
      "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 207.07 kg\n  Factor of Safety: 0.37\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": 207.06800837182195,
      "fos_buckling": 0.3666334059077719,
      "fos_yielding": 4.762332906019722,
      "deflection": 0.015070261448074532,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.443)"
      },
      "parent_node_id": "node_309",
      "improvement_over_parent": null
    },
    "node_311": {
      "node_id": "node_311",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n  Mass: 223.77 kg\n  Factor of Safety: 1.39\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": 223.77204142494995,
      "fos_buckling": 1.391823153234062,
      "fos_yielding": 6.861193634265445,
      "deflection": 0.012918296216709833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005949)"
      },
      "parent_node_id": "node_310",
      "improvement_over_parent": null
    },
    "node_312": {
      "node_id": "node_312",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.69 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.68838326802185,
      "fos_buckling": 1.5355565223996852,
      "fos_yielding": 7.750383278989652,
      "deflection": 0.011477691429250305,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_311",
      "improvement_over_parent": null
    },
    "node_313": {
      "node_id": "node_313",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_312",
      "improvement_over_parent": null
    },
    "node_314": {
      "node_id": "node_314",
      "content": "INITIAL DESIGN (Trace 45)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 163.18 kg\n  Factor of Safety: 0.00\n  Max Deflection: 7.28e+15 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.1809831702837,
      "fos_buckling": 0.0016183903905936062,
      "fos_yielding": 0.011676934638644693,
      "deflection": 7283849429684835.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_315": {
      "node_id": "node_315",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n  Mass: 185.51 kg\n  Factor of Safety: 0.20\n  Max Deflection: 3.45e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.50713288768628,
      "fos_buckling": 0.19631438846865448,
      "fos_yielding": 0.8474577543759945,
      "deflection": 34475338147258.8,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007158)"
      },
      "parent_node_id": "node_314",
      "improvement_over_parent": null
    },
    "node_316": {
      "node_id": "node_316",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 208.87 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.40e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.87455031042455,
      "fos_buckling": 0.33871532611651073,
      "fos_yielding": 0.8474577543759945,
      "deflection": 33970875768374.89,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_315",
      "improvement_over_parent": null
    },
    "node_317": {
      "node_id": "node_317",
      "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0111)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 218.42 kg\n  Factor of Safety: 0.62\n  Max Deflection: 9.60e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.41650493304272,
      "fos_buckling": 0.6156366830048533,
      "fos_yielding": 3.389831017503978,
      "deflection": 9603151361492.057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.473)"
      },
      "parent_node_id": "node_316",
      "improvement_over_parent": null
    },
    "node_318": {
      "node_id": "node_318",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0111)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 235.09 kg\n  Factor of Safety: 0.41\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": 235.08678873929978,
      "fos_buckling": 0.40528130535676604,
      "fos_yielding": 4.9055666972072585,
      "deflection": 0.013715750143111606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_317",
      "improvement_over_parent": null
    },
    "node_319": {
      "node_id": "node_319",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0111)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 253.93 kg\n  Factor of Safety: 1.32\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": 253.93483675461198,
      "fos_buckling": 1.3187188400268282,
      "fos_yielding": 6.836631352855866,
      "deflection": 0.01176696061722186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_318",
      "improvement_over_parent": null
    },
    "node_320": {
      "node_id": "node_320",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_319",
      "improvement_over_parent": null
    },
    "node_321": {
      "node_id": "node_321",
      "content": "INITIAL DESIGN (Trace 46)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 217.31 kg\n  Factor of Safety: 1.28\n  Max Deflection: 3.98e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.3087303924058,
      "fos_buckling": 1.2818703063239691,
      "fos_yielding": 2.682194255516964,
      "deflection": 39844112578583.77,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_322": {
      "node_id": "node_322",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 235.10 kg\n  Factor of Safety: 0.79\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": 235.10020608081024,
      "fos_buckling": 0.7892125164865594,
      "fos_yielding": 5.931242339109448,
      "deflection": 0.014214732856569882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_321",
      "improvement_over_parent": null
    },
    "node_323": {
      "node_id": "node_323",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 251.77 kg\n  Factor of Safety: 1.50\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": 251.7704898870673,
      "fos_buckling": 1.497502274489095,
      "fos_yielding": 7.427547939517286,
      "deflection": 0.011521765654353795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_322",
      "improvement_over_parent": null
    },
    "node_324": {
      "node_id": "node_324",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47481073398833,
      "fos_buckling": 1.5345683700176413,
      "fos_yielding": 7.74443191243213,
      "deflection": 0.01148690585442867,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_323",
      "improvement_over_parent": null
    },
    "node_325": {
      "node_id": "node_325",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_324",
      "improvement_over_parent": null
    },
    "node_326": {
      "node_id": "node_326",
      "content": "INITIAL DESIGN (Trace 47)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 203.08 kg\n  Factor of Safety: 0.81\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": 203.07883401613526,
      "fos_buckling": 0.8116981373608206,
      "fos_yielding": 4.828033737003571,
      "deflection": 0.014503216174023099,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_327": {
      "node_id": "node_327",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 230.67 kg\n  Factor of Safety: 0.90\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": 230.66941771788785,
      "fos_buckling": 0.9020936076684287,
      "fos_yielding": 5.475118807621109,
      "deflection": 0.012804274574486758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_326",
      "improvement_over_parent": null
    },
    "node_328": {
      "node_id": "node_328",
      "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 235.71 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.70850294278236,
      "fos_buckling": 0.9016445105739825,
      "fos_yielding": 5.472418496188731,
      "deflection": 0.01255436531772545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.389)"
      },
      "parent_node_id": "node_327",
      "improvement_over_parent": null
    },
    "node_329": {
      "node_id": "node_329",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.38 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.37878674903942,
      "fos_buckling": 1.5340224113202934,
      "fos_yielding": 7.74161661711474,
      "deflection": 0.011491272600524727,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_328",
      "improvement_over_parent": null
    },
    "node_330": {
      "node_id": "node_330",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_329",
      "improvement_over_parent": null
    },
    "node_331": {
      "node_id": "node_331",
      "content": "INITIAL DESIGN (Trace 48)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 185.31 kg\n  Factor of Safety: 0.62\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.31287688175863,
      "fos_buckling": 0.6226383426896,
      "fos_yielding": 3.317070872195316,
      "deflection": 0.021130625243972665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_332": {
      "node_id": "node_332",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 206.64 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.63509551485313,
      "fos_buckling": 0.6841029167010187,
      "fos_yielding": 3.698196276017575,
      "deflection": 0.018982393286255634,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_331",
      "improvement_over_parent": null
    },
    "node_333": {
      "node_id": "node_333",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.91 kg\n  Factor of Safety: 0.80\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": 249.9131187600096,
      "fos_buckling": 0.8023977492373844,
      "fos_yielding": 4.471430782715438,
      "deflection": 0.015749192016683972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_332",
      "improvement_over_parent": null
    },
    "node_334": {
      "node_id": "node_334",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n  Mass: 251.65 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.64931253542835,
      "fos_buckling": 1.316856714858343,
      "fos_yielding": 5.484097142422893,
      "deflection": 0.011644084245033154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002688)"
      },
      "parent_node_id": "node_333",
      "improvement_over_parent": null
    },
    "node_335": {
      "node_id": "node_335",
      "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n  Mass: 251.96 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.9609636182288,
      "fos_buckling": 1.3218139384656071,
      "fos_yielding": 5.504741678394199,
      "deflection": 0.011640843851203706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.513)"
      },
      "parent_node_id": "node_334",
      "improvement_over_parent": null
    },
    "node_336": {
      "node_id": "node_336",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_335",
      "improvement_over_parent": null
    },
    "node_337": {
      "node_id": "node_337",
      "content": "INITIAL DESIGN (Trace 49)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 196.72 kg\n  Factor of Safety: 1.04\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": 196.71856805677928,
      "fos_buckling": 1.0423094389236203,
      "fos_yielding": 5.925368383741326,
      "deflection": 0.014969125806469157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_338": {
      "node_id": "node_338",
      "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 197.19 kg\n  Factor of Safety: 1.27\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": 197.18520174177718,
      "fos_buckling": 1.2716870568792036,
      "fos_yielding": 5.933330734431873,
      "deflection": 0.014912732408451005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.597)"
      },
      "parent_node_id": "node_337",
      "improvement_over_parent": null
    },
    "node_339": {
      "node_id": "node_339",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 219.04 kg\n  Factor of Safety: 1.39\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": 219.03585506703777,
      "fos_buckling": 1.387828281091339,
      "fos_yielding": 6.5927320174609125,
      "deflection": 0.013455679448457583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_338",
      "improvement_over_parent": null
    },
    "node_340": {
      "node_id": "node_340",
      "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 223.34 kg\n  Factor of Safety: 1.39\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": 223.3400741841007,
      "fos_buckling": 1.3897002261562716,
      "fos_yielding": 6.848429412238907,
      "deflection": 0.012942669072666597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.248)"
      },
      "parent_node_id": "node_339",
      "improvement_over_parent": null
    },
    "node_341": {
      "node_id": "node_341",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.41 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.40782081739246,
      "fos_buckling": 1.5342913337337294,
      "fos_yielding": 7.742323795023944,
      "deflection": 0.011490103555922357,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_340",
      "improvement_over_parent": null
    },
    "node_342": {
      "node_id": "node_342",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_341",
      "improvement_over_parent": null
    },
    "node_343": {
      "node_id": "node_343",
      "content": "INITIAL DESIGN (Trace 50)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n  Mass: 173.38 kg\n  Factor of Safety: 0.18\n  Max Deflection: 1.03e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.3831497346452,
      "fos_buckling": 0.18434055026903498,
      "fos_yielding": 0.8474577543759945,
      "deflection": 102587561612553.38,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_344": {
      "node_id": "node_344",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n\nPerformance:\n  Mass: 183.38 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.98e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.38080502796663,
      "fos_buckling": 0.37854367190047433,
      "fos_yielding": 5.135334303689783,
      "deflection": 0.019755980388603822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003557)"
      },
      "parent_node_id": "node_343",
      "improvement_over_parent": null
    },
    "node_345": {
      "node_id": "node_345",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 200.12 kg\n  Factor of Safety: 0.84\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": 200.12215078415164,
      "fos_buckling": 0.8411090173605871,
      "fos_yielding": 6.142571357477158,
      "deflection": 0.016552371832932733,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006007)"
      },
      "parent_node_id": "node_344",
      "improvement_over_parent": null
    },
    "node_346": {
      "node_id": "node_346",
      "content": "MODIFICATION: Increase 13 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 206.12 kg\n  Factor of Safety: 0.84\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": 206.11600413157257,
      "fos_buckling": 0.840864446025706,
      "fos_yielding": 6.140785266916384,
      "deflection": 0.016338694694900454,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.650)"
      },
      "parent_node_id": "node_345",
      "improvement_over_parent": null
    },
    "node_347": {
      "node_id": "node_347",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n\nPerformance:\n  Mass: 220.35 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.34686516138055,
      "fos_buckling": 1.3136314040830832,
      "fos_yielding": 7.474953900898539,
      "deflection": 0.013118553360631112,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004445)"
      },
      "parent_node_id": "node_346",
      "improvement_over_parent": null
    },
    "node_348": {
      "node_id": "node_348",
      "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0086)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n\nPerformance:\n  Mass: 227.08 kg\n  Factor of Safety: 1.31\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": 227.07980824191213,
      "fos_buckling": 1.3106165314002356,
      "fos_yielding": 7.2206122504757815,
      "deflection": 0.01300878414056352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.511)"
      },
      "parent_node_id": "node_347",
      "improvement_over_parent": null
    },
    "node_349": {
      "node_id": "node_349",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0096)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n\nPerformance:\n  Mass: 252.21 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.21046777830153,
      "fos_buckling": 1.427825886553576,
      "fos_yielding": 8.02441409401995,
      "deflection": 0.011741118617989677,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_348",
      "improvement_over_parent": null
    },
    "node_350": {
      "node_id": "node_350",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 51)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n\nPerformance:\n  Mass: 145.93 kg\n  Factor of Safety: 0.03\n  Max Deflection: 7.10e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.92501810978442,
      "fos_buckling": 0.027847014346160423,
      "fos_yielding": 0.4237288771879973,
      "deflection": 70971527397781.2,
      "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 11 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n\nPerformance:\n  Mass: 150.09 kg\n  Factor of Safety: 0.23\n  Max Deflection: 6.39e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.08501344542515,
      "fos_buckling": 0.23382033697621882,
      "fos_yielding": 0.21186443859399864,
      "deflection": 63906121776804.016,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.337)"
      },
      "parent_node_id": "node_351",
      "improvement_over_parent": null
    },
    "node_353": {
      "node_id": "node_353",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n  Mass: 163.34 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.33638571184787,
      "fos_buckling": 0.415816531467988,
      "fos_yielding": 4.405888424756055,
      "deflection": 0.018995215248190707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004793)"
      },
      "parent_node_id": "node_352",
      "improvement_over_parent": null
    },
    "node_354": {
      "node_id": "node_354",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 182.95 kg\n  Factor of Safety: 0.46\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": 182.94674347786145,
      "fos_buckling": 0.45585815358975235,
      "fos_yielding": 4.910637655888904,
      "deflection": 0.017000787005679446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_353",
      "improvement_over_parent": null
    },
    "node_355": {
      "node_id": "node_355",
      "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 189.87 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.86834754120042,
      "fos_buckling": 0.4505246610699491,
      "fos_yielding": 4.907413806458388,
      "deflection": 0.01626898494445521,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.475)"
      },
      "parent_node_id": "node_354",
      "improvement_over_parent": null
    },
    "node_356": {
      "node_id": "node_356",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 227.97 kg\n  Factor of Safety: 0.52\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": 227.96913565712322,
      "fos_buckling": 0.5195298723438565,
      "fos_yielding": 5.840269953968945,
      "deflection": 0.013617635047386327,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_355",
      "improvement_over_parent": null
    },
    "node_357": {
      "node_id": "node_357",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 246.58 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.58466171349053,
      "fos_buckling": 1.42536279323086,
      "fos_yielding": 8.136905816435991,
      "deflection": 0.01162483257941159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_356",
      "improvement_over_parent": null
    },
    "node_358": {
      "node_id": "node_358",
      "content": "MODIFICATION: Increase 12 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.68 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.6801799134212,
      "fos_buckling": 1.5351293082288222,
      "fos_yielding": 7.751270753345212,
      "deflection": 0.0114776489615396,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.631)"
      },
      "parent_node_id": "node_357",
      "improvement_over_parent": null
    },
    "node_359": {
      "node_id": "node_359",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 52)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 219.14 kg\n  Factor of Safety: 0.41\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": 219.13590021637464,
      "fos_buckling": 0.4063117382441557,
      "fos_yielding": 5.658678695326572,
      "deflection": 0.01494809483658145,
      "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 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 237.98 kg\n  Factor of Safety: 1.30\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": 237.98394823168684,
      "fos_buckling": 1.2975247863314483,
      "fos_yielding": 8.204544403723437,
      "deflection": 0.012453525322345676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_360",
      "improvement_over_parent": null
    },
    "node_362": {
      "node_id": "node_362",
      "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 244.48 kg\n  Factor of Safety: 1.42\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": 244.4797310498254,
      "fos_buckling": 1.42222734589176,
      "fos_yielding": 8.373056427446391,
      "deflection": 0.011864782877981308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.383)"
      },
      "parent_node_id": "node_361",
      "improvement_over_parent": null
    },
    "node_363": {
      "node_id": "node_363",
      "content": "MODIFICATION: Increase 11 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4647434625003,
      "fos_buckling": 1.5346643013586072,
      "fos_yielding": 7.744980480498203,
      "deflection": 0.011487826426062747,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.572)"
      },
      "parent_node_id": "node_362",
      "improvement_over_parent": null
    },
    "node_364": {
      "node_id": "node_364",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_363",
      "improvement_over_parent": null
    },
    "node_365": {
      "node_id": "node_365",
      "content": "INITIAL DESIGN (Trace 53)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 232.14 kg\n  Factor of Safety: 0.83\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": 232.1361299347665,
      "fos_buckling": 0.8345555856377437,
      "fos_yielding": 2.3966152944137225,
      "deflection": 0.017889183736051535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_366": {
      "node_id": "node_366",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n  Mass: 234.13 kg\n  Factor of Safety: 0.84\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": 234.13305493271454,
      "fos_buckling": 0.8441597270707226,
      "fos_yielding": 4.924685297399046,
      "deflection": 0.013246626247010281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003121)"
      },
      "parent_node_id": "node_365",
      "improvement_over_parent": null
    },
    "node_367": {
      "node_id": "node_367",
      "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0028)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n  Mass: 234.32 kg\n  Factor of Safety: 0.84\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": 234.32061114196978,
      "fos_buckling": 0.8440996987288225,
      "fos_yielding": 5.969825999426582,
      "deflection": 0.013196741046889969,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.302)"
      },
      "parent_node_id": "node_366",
      "improvement_over_parent": null
    },
    "node_368": {
      "node_id": "node_368",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0028)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.11 kg\n  Factor of Safety: 1.47\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": 252.1120868303742,
      "fos_buckling": 1.4689897187882408,
      "fos_yielding": 6.226397693138817,
      "deflection": 0.011578602636193095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_367",
      "improvement_over_parent": null
    },
    "node_369": {
      "node_id": "node_369",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_368",
      "improvement_over_parent": null
    },
    "node_370": {
      "node_id": "node_370",
      "content": "INITIAL DESIGN (Trace 54)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 185.01 kg\n  Factor of Safety: 0.55\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": 185.01478228441724,
      "fos_buckling": 0.5499886361395921,
      "fos_yielding": 3.9325066299380067,
      "deflection": 0.024802908766748462,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_371": {
      "node_id": "node_371",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 213.75 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.7451189315111,
      "fos_buckling": 0.6266155653189571,
      "fos_yielding": 4.5486433841861516,
      "deflection": 0.021495446081513638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_370",
      "improvement_over_parent": null
    },
    "node_372": {
      "node_id": "node_372",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n\nPerformance:\n  Mass: 215.23 kg\n  Factor of Safety: 1.03\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": 215.23330319397152,
      "fos_buckling": 1.0261276891458049,
      "fos_yielding": 4.203517691747621,
      "deflection": 0.013819023860844147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002284)"
      },
      "parent_node_id": "node_371",
      "improvement_over_parent": null
    },
    "node_373": {
      "node_id": "node_373",
      "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0091)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n\nPerformance:\n  Mass: 222.13 kg\n  Factor of Safety: 0.99\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": 222.12561092459805,
      "fos_buckling": 0.9874397500750246,
      "fos_yielding": 4.045033091768981,
      "deflection": 0.013540660107873234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.376)"
      },
      "parent_node_id": "node_372",
      "improvement_over_parent": null
    },
    "node_374": {
      "node_id": "node_374",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0104)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n\nPerformance:\n  Mass: 251.77 kg\n  Factor of Safety: 1.11\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": 251.76586827095215,
      "fos_buckling": 1.1102170243054974,
      "fos_yielding": 4.6106984419484744,
      "deflection": 0.011977337517807688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_373",
      "improvement_over_parent": null
    },
    "node_375": {
      "node_id": "node_375",
      "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0104)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n\nPerformance:\n  Mass: 252.54 kg\n  Factor of Safety: 1.11\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": 252.54085838966094,
      "fos_buckling": 1.1144592108231137,
      "fos_yielding": 4.628316116996706,
      "deflection": 0.011942190112267395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.550)"
      },
      "parent_node_id": "node_374",
      "improvement_over_parent": null
    },
    "node_376": {
      "node_id": "node_376",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0104)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 253.25 kg\n  Factor of Safety: 1.17\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": 253.24517923658198,
      "fos_buckling": 1.165685472861857,
      "fos_yielding": 4.84105726705845,
      "deflection": 0.011891526714329135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_375",
      "improvement_over_parent": null
    },
    "node_377": {
      "node_id": "node_377",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_376",
      "improvement_over_parent": null
    },
    "node_378": {
      "node_id": "node_378",
      "content": "INITIAL DESIGN (Trace 55)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 204.94 kg\n  Factor of Safety: 1.18\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": 204.93720929870983,
      "fos_buckling": 1.179965980779946,
      "fos_yielding": 7.095093256238906,
      "deflection": 0.014146822789651266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_379": {
      "node_id": "node_379",
      "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 209.25 kg\n  Factor of Safety: 1.18\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": 209.25090385467817,
      "fos_buckling": 1.1801472946226708,
      "fos_yielding": 6.835349663770321,
      "deflection": 0.013943406433467757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.292)"
      },
      "parent_node_id": "node_378",
      "improvement_over_parent": null
    },
    "node_380": {
      "node_id": "node_380",
      "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 213.00 kg\n  Factor of Safety: 1.26\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": 213.00451119169944,
      "fos_buckling": 1.2619457268490055,
      "fos_yielding": 6.71543771199499,
      "deflection": 0.013492822062092553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.224)"
      },
      "parent_node_id": "node_379",
      "improvement_over_parent": null
    },
    "node_381": {
      "node_id": "node_381",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 244.30 kg\n  Factor of Safety: 1.42\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": 244.30468084624067,
      "fos_buckling": 1.4214771116306695,
      "fos_yielding": 7.699697739027234,
      "deflection": 0.011805792200509091,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_380",
      "improvement_over_parent": null
    },
    "node_382": {
      "node_id": "node_382",
      "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.01 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 249.01236140095276,
      "fos_buckling": 1.5259477921686222,
      "fos_yielding": 7.36684905113116,
      "deflection": 0.011588356953803896,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.355)"
      },
      "parent_node_id": "node_381",
      "improvement_over_parent": null
    },
    "node_383": {
      "node_id": "node_383",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 249.72 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.7166822478738,
      "fos_buckling": 1.4510660816046905,
      "fos_yielding": 7.60607291661227,
      "deflection": 0.011566526506473879,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_382",
      "improvement_over_parent": null
    },
    "node_384": {
      "node_id": "node_384",
      "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0078)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.54 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.54316109527815,
      "fos_buckling": 1.4459630722300512,
      "fos_yielding": 7.618212733455627,
      "deflection": 0.01151505173109293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.178)"
      },
      "parent_node_id": "node_383",
      "improvement_over_parent": null
    },
    "node_385": {
      "node_id": "node_385",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_384",
      "improvement_over_parent": null
    },
    "node_386": {
      "node_id": "node_386",
      "content": "INITIAL DESIGN (Trace 56)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 211.79 kg\n  Factor of Safety: 0.78\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": 211.78986316609215,
      "fos_buckling": 0.7794172025154028,
      "fos_yielding": 5.858339445983063,
      "deflection": 0.01759341955175575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_387": {
      "node_id": "node_387",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 214.65 kg\n  Factor of Safety: 0.78\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": 214.64771302989158,
      "fos_buckling": 0.7789926736971641,
      "fos_yielding": 5.855179413038866,
      "deflection": 0.01759703478153181,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.250)"
      },
      "parent_node_id": "node_386",
      "improvement_over_parent": null
    },
    "node_388": {
      "node_id": "node_388",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 231.32 kg\n  Factor of Safety: 0.78\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": 231.31799683614867,
      "fos_buckling": 0.7752191364873848,
      "fos_yielding": 5.827674693408772,
      "deflection": 0.01734613906125025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_387",
      "improvement_over_parent": null
    },
    "node_389": {
      "node_id": "node_389",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 233.86 kg\n  Factor of Safety: 0.45\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": 233.8639889972108,
      "fos_buckling": 0.4459925441181692,
      "fos_yielding": 5.8248887168539945,
      "deflection": 0.013535637137627851,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_388",
      "improvement_over_parent": null
    },
    "node_390": {
      "node_id": "node_390",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47951505357813,
      "fos_buckling": 1.5345624573544965,
      "fos_yielding": 7.743864283537117,
      "deflection": 0.01148680928047262,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_389",
      "improvement_over_parent": null
    },
    "node_391": {
      "node_id": "node_391",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_390",
      "improvement_over_parent": null
    },
    "node_392": {
      "node_id": "node_392",
      "content": "INITIAL DESIGN (Trace 57)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n  Mass: 165.95 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.9504929650673,
      "fos_buckling": 0.33562481579839504,
      "fos_yielding": 4.584749735133456,
      "deflection": 0.021506322303014563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_393": {
      "node_id": "node_393",
      "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n  Mass: 166.31 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.31006287792965,
      "fos_buckling": 0.33562481579839504,
      "fos_yielding": 4.584749735133456,
      "deflection": 0.021506322303014563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.414)"
      },
      "parent_node_id": "node_392",
      "improvement_over_parent": null
    },
    "node_394": {
      "node_id": "node_394",
      "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n  Mass: 166.69 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.68929189339644,
      "fos_buckling": 0.33562481579839504,
      "fos_yielding": 4.584749735133456,
      "deflection": 0.021506322303014563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.319)"
      },
      "parent_node_id": "node_393",
      "improvement_over_parent": null
    },
    "node_395": {
      "node_id": "node_395",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 181.15 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.1485134445238,
      "fos_buckling": 0.7438918744511173,
      "fos_yielding": 5.31714384183408,
      "deflection": 0.018861608969294386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005128)"
      },
      "parent_node_id": "node_394",
      "improvement_over_parent": null
    },
    "node_396": {
      "node_id": "node_396",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.30 kg\n  Factor of Safety: 0.92\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": 233.29643686078822,
      "fos_buckling": 0.9160780458071622,
      "fos_yielding": 6.811938153145818,
      "deflection": 0.014732395273953688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_395",
      "improvement_over_parent": null
    },
    "node_397": {
      "node_id": "node_397",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.56267768169553,
      "fos_buckling": 1.5349319971565354,
      "fos_yielding": 7.748030842814757,
      "deflection": 0.011482969754662785,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_396",
      "improvement_over_parent": null
    },
    "node_398": {
      "node_id": "node_398",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_397",
      "improvement_over_parent": null
    },
    "node_399": {
      "node_id": "node_399",
      "content": "INITIAL DESIGN (Trace 58)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 103.76 kg\n  Factor of Safety: 0.23\n  Max Deflection: 5.97e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 103.7581217236168,
      "fos_buckling": 0.23346083036598625,
      "fos_yielding": 0.910896961403844,
      "deflection": 0.05966963161441089,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_400": {
      "node_id": "node_400",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 123.45 kg\n  Factor of Safety: 0.27\n  Max Deflection: 5.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.45379312950723,
      "fos_buckling": 0.27308373880644704,
      "fos_yielding": 1.0806572713561313,
      "deflection": 0.05036032318042593,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_399",
      "improvement_over_parent": null
    },
    "node_401": {
      "node_id": "node_401",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 157.68 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.97e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.68094899827756,
      "fos_buckling": 0.3384358122248348,
      "fos_yielding": 1.3733117247501707,
      "deflection": 0.03971276138366459,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_400",
      "improvement_over_parent": null
    },
    "node_402": {
      "node_id": "node_402",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 194.95 kg\n  Factor of Safety: 0.40\n  Max Deflection: 3.24e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.95369400675906,
      "fos_buckling": 0.4045903103531091,
      "fos_yielding": 1.6886315303878614,
      "deflection": 0.032367488053672205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_401",
      "improvement_over_parent": null
    },
    "node_403": {
      "node_id": "node_403",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 217.89 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.91e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.8922008431718,
      "fos_buckling": 0.4427310178238451,
      "fos_yielding": 1.8809492701993051,
      "deflection": 0.02909479694052135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_402",
      "improvement_over_parent": null
    },
    "node_404": {
      "node_id": "node_404",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 243.01 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.01434249501864,
      "fos_buckling": 0.80847069371095,
      "fos_yielding": 4.527880966688295,
      "deflection": 0.01575899109989143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_403",
      "improvement_over_parent": null
    },
    "node_405": {
      "node_id": "node_405",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 245.56 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.56033465608078,
      "fos_buckling": 1.2949977313134797,
      "fos_yielding": 8.338336460496366,
      "deflection": 0.011844655597109803,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_404",
      "improvement_over_parent": null
    },
    "node_406": {
      "node_id": "node_406",
      "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.31 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.30669688965236,
      "fos_buckling": 1.5335996067803632,
      "fos_yielding": 7.743406525476664,
      "deflection": 0.011493621779160138,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.592)"
      },
      "parent_node_id": "node_405",
      "improvement_over_parent": null
    },
    "node_407": {
      "node_id": "node_407",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_406",
      "improvement_over_parent": null
    },
    "node_408": {
      "node_id": "node_408",
      "content": "INITIAL DESIGN (Trace 59)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0022)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 141.51 kg\n  Factor of Safety: 0.64\n  Max Deflection: 2.30e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.51441834282966,
      "fos_buckling": 0.6369311409023151,
      "fos_yielding": 4.453037414708558,
      "deflection": 0.02301790723582837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_409": {
      "node_id": "node_409",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 173.13 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.1305171988437,
      "fos_buckling": 0.7573321601137643,
      "fos_yielding": 5.427561636707663,
      "deflection": 0.018886439624409335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_408",
      "improvement_over_parent": null
    },
    "node_410": {
      "node_id": "node_410",
      "content": "MODIFICATION: Increase 12 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 176.76 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.76295950741326,
      "fos_buckling": 0.7569305503107561,
      "fos_yielding": 5.4246834254358705,
      "deflection": 0.01864254989324775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.484)"
      },
      "parent_node_id": "node_409",
      "improvement_over_parent": null
    },
    "node_411": {
      "node_id": "node_411",
      "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 181.31 kg\n  Factor of Safety: 0.76\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": 181.30627927049733,
      "fos_buckling": 0.7565959970522423,
      "fos_yielding": 5.422285787349201,
      "deflection": 0.01865057907746701,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.351)"
      },
      "parent_node_id": "node_410",
      "improvement_over_parent": null
    },
    "node_412": {
      "node_id": "node_412",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 196.57 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.56991945804654,
      "fos_buckling": 1.1142077317143277,
      "fos_yielding": 5.945717486732217,
      "deflection": 0.014582970341585212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005537)"
      },
      "parent_node_id": "node_411",
      "improvement_over_parent": null
    },
    "node_413": {
      "node_id": "node_413",
      "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0067)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 200.62 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.61743272654886,
      "fos_buckling": 1.1077152420739107,
      "fos_yielding": 5.960651699182788,
      "deflection": 0.014476325316171722,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.316)"
      },
      "parent_node_id": "node_412",
      "improvement_over_parent": null
    },
    "node_414": {
      "node_id": "node_414",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0077)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n  Mass: 228.09 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.09441591966635,
      "fos_buckling": 1.2434969470191013,
      "fos_yielding": 6.782600529021788,
      "deflection": 0.01276871124026234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_413",
      "improvement_over_parent": null
    },
    "node_415": {
      "node_id": "node_415",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0087)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.96 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.9627926106826,
      "fos_buckling": 1.363006846504942,
      "fos_yielding": 7.527800517554946,
      "deflection": 0.011542955529799157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_414",
      "improvement_over_parent": null
    },
    "node_416": {
      "node_id": "node_416",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_415",
      "improvement_over_parent": null
    },
    "node_417": {
      "node_id": "node_417",
      "content": "INITIAL DESIGN (Trace 60)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 143.47 kg\n  Factor of Safety: 0.80\n  Max Deflection: 9.32e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.47359130056438,
      "fos_buckling": 0.7983471650209442,
      "fos_yielding": 3.3898310175039783,
      "deflection": 9322412084602.568,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_418": {
      "node_id": "node_418",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 144.03 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.02e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.03336616297926,
      "fos_buckling": 0.7983471650209442,
      "fos_yielding": 3.3898310175039783,
      "deflection": 10201762418692.906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001665)"
      },
      "parent_node_id": "node_417",
      "improvement_over_parent": null
    },
    "node_419": {
      "node_id": "node_419",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n\nPerformance:\n  Mass: 159.01 kg\n  Factor of Safety: 0.37\n  Max Deflection: 3.58e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.00610918403356,
      "fos_buckling": 0.36688346663948823,
      "fos_yielding": 1.4594647757856212,
      "deflection": 0.035836700179721404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005286)"
      },
      "parent_node_id": "node_418",
      "improvement_over_parent": null
    },
    "node_420": {
      "node_id": "node_420",
      "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n\nPerformance:\n  Mass: 162.13 kg\n  Factor of Safety: 0.37\n  Max Deflection: 3.56e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.13205851385825,
      "fos_buckling": 0.3668275325018731,
      "fos_yielding": 1.5063076659712977,
      "deflection": 0.035585074766797266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.391)"
      },
      "parent_node_id": "node_419",
      "improvement_over_parent": null
    },
    "node_421": {
      "node_id": "node_421",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 182.09 kg\n  Factor of Safety: 0.76\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": 182.0913151492944,
      "fos_buckling": 0.758430269654383,
      "fos_yielding": 5.437748513084491,
      "deflection": 0.018444708453508683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006342)"
      },
      "parent_node_id": "node_420",
      "improvement_over_parent": null
    },
    "node_422": {
      "node_id": "node_422",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 229.20 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.19645391155018,
      "fos_buckling": 0.9161531872420872,
      "fos_yielding": 6.812023741603255,
      "deflection": 0.014732724416094823,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_421",
      "improvement_over_parent": null
    },
    "node_423": {
      "node_id": "node_423",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.48229351364742,
      "fos_buckling": 1.5345792539303873,
      "fos_yielding": 7.744414525192278,
      "deflection": 0.011486682911885494,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_422",
      "improvement_over_parent": null
    },
    "node_424": {
      "node_id": "node_424",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_423",
      "improvement_over_parent": null
    },
    "node_425": {
      "node_id": "node_425",
      "content": "INITIAL DESIGN (Trace 61)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 226.33 kg\n  Factor of Safety: 0.85\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": 226.3264334114298,
      "fos_buckling": 0.8458916181617877,
      "fos_yielding": 4.4255714712692,
      "deflection": 0.013336776785790998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_426": {
      "node_id": "node_426",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 241.05 kg\n  Factor of Safety: 1.44\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": 241.05094102008738,
      "fos_buckling": 1.438949026718675,
      "fos_yielding": 8.085391164731154,
      "deflection": 0.011784208047839055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_425",
      "improvement_over_parent": null
    },
    "node_427": {
      "node_id": "node_427",
      "content": "MODIFICATION: Increase 14 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0100)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 248.85 kg\n  Factor of Safety: 1.45\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": 248.84511571950634,
      "fos_buckling": 1.449870673022021,
      "fos_yielding": 8.05744074816025,
      "deflection": 0.01162730713124165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.484)"
      },
      "parent_node_id": "node_426",
      "improvement_over_parent": null
    },
    "node_428": {
      "node_id": "node_428",
      "content": "MODIFICATION: Increase 12 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0110)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0100)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 258.75 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.7495323007618,
      "fos_buckling": 1.539568288525471,
      "fos_yielding": 8.399673225719042,
      "deflection": 0.011422552994800694,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.616)"
      },
      "parent_node_id": "node_427",
      "improvement_over_parent": null
    },
    "node_429": {
      "node_id": "node_429",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_428",
      "improvement_over_parent": null
    },
    "node_430": {
      "node_id": "node_430",
      "content": "INITIAL DESIGN (Trace 62)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n  Mass: 180.58 kg\n  Factor of Safety: 0.30\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": 180.58039571540488,
      "fos_buckling": 0.3006870444184212,
      "fos_yielding": 4.631221469231384,
      "deflection": 0.01721795720602426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_431": {
      "node_id": "node_431",
      "content": "MODIFICATION: Increase 13 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n  Mass: 184.23 kg\n  Factor of Safety: 0.35\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": 184.22510982750345,
      "fos_buckling": 0.34823076414407333,
      "fos_yielding": 4.7979207700872575,
      "deflection": 0.01692802848920098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.418)"
      },
      "parent_node_id": "node_430",
      "improvement_over_parent": null
    },
    "node_432": {
      "node_id": "node_432",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 226.29 kg\n  Factor of Safety: 0.41\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": 226.29181536143486,
      "fos_buckling": 0.4111536654453268,
      "fos_yielding": 5.834166989695724,
      "deflection": 0.013856235700883913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_431",
      "improvement_over_parent": null
    },
    "node_433": {
      "node_id": "node_433",
      "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 230.96 kg\n  Factor of Safety: 0.41\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": 230.96023760809558,
      "fos_buckling": 0.41307536441931797,
      "fos_yielding": 5.831607811133954,
      "deflection": 0.01363955255630071,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.351)"
      },
      "parent_node_id": "node_432",
      "improvement_over_parent": null
    },
    "node_434": {
      "node_id": "node_434",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.58 kg\n  Factor of Safety: 1.44\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": 249.5757636644629,
      "fos_buckling": 1.4353858688694539,
      "fos_yielding": 7.593737124054083,
      "deflection": 0.011568003227347357,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_433",
      "improvement_over_parent": null
    },
    "node_435": {
      "node_id": "node_435",
      "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.55483599355702,
      "fos_buckling": 1.5348902187159568,
      "fos_yielding": 7.748013589264954,
      "deflection": 0.011483373237858781,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.206)"
      },
      "parent_node_id": "node_434",
      "improvement_over_parent": null
    },
    "node_436": {
      "node_id": "node_436",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_435",
      "improvement_over_parent": null
    },
    "node_437": {
      "node_id": "node_437",
      "content": "INITIAL DESIGN (Trace 63)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 194.48 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.47727661940706,
      "fos_buckling": 0.4925028503033064,
      "fos_yielding": 4.031259659771062,
      "deflection": 0.02061557429001846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_438": {
      "node_id": "node_438",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n  Mass: 196.56 kg\n  Factor of Safety: 0.94\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": 196.55856231629423,
      "fos_buckling": 0.9444056131127968,
      "fos_yielding": 6.251516501588663,
      "deflection": 0.014890864953390343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003263)"
      },
      "parent_node_id": "node_437",
      "improvement_over_parent": null
    },
    "node_439": {
      "node_id": "node_439",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n  Mass: 201.04 kg\n  Factor of Safety: 1.04\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": 201.03661736410606,
      "fos_buckling": 1.0424890252452261,
      "fos_yielding": 6.009075206892711,
      "deflection": 0.014254442944844771,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.300)"
      },
      "parent_node_id": "node_438",
      "improvement_over_parent": null
    },
    "node_440": {
      "node_id": "node_440",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 245.98 kg\n  Factor of Safety: 1.25\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": 245.9766116312652,
      "fos_buckling": 1.2537601487196068,
      "fos_yielding": 7.360618574827953,
      "deflection": 0.01170813368527676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_439",
      "improvement_over_parent": null
    },
    "node_441": {
      "node_id": "node_441",
      "content": "MODIFICATION: Increase 13 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 254.62 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.62482801472035,
      "fos_buckling": 1.2431721582173858,
      "fos_yielding": 7.386582330952528,
      "deflection": 0.011583709687496372,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.567)"
      },
      "parent_node_id": "node_440",
      "improvement_over_parent": null
    },
    "node_442": {
      "node_id": "node_442",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_441",
      "improvement_over_parent": null
    },
    "node_443": {
      "node_id": "node_443",
      "content": "INITIAL DESIGN (Trace 64)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0029)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 142.67 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.53e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.66685720397047,
      "fos_buckling": 0.6337700203389554,
      "fos_yielding": 3.1457735734236816,
      "deflection": 0.025336913467523394,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_444": {
      "node_id": "node_444",
      "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0029)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 142.99 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.99255506255108,
      "fos_buckling": 0.6337700203389556,
      "fos_yielding": 3.145773573423681,
      "deflection": 0.025289472449237856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.471)"
      },
      "parent_node_id": "node_443",
      "improvement_over_parent": null
    },
    "node_445": {
      "node_id": "node_445",
      "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 146.14 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.51e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.13722325511156,
      "fos_buckling": 0.6336727490154095,
      "fos_yielding": 3.1452907586024677,
      "deflection": 0.025094291907763574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.399)"
      },
      "parent_node_id": "node_444",
      "improvement_over_parent": null
    },
    "node_446": {
      "node_id": "node_446",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 186.26 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.98e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.2564209760081,
      "fos_buckling": 0.7800000259123036,
      "fos_yielding": 4.011574295119638,
      "deflection": 0.019751632746219334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_445",
      "improvement_over_parent": null
    },
    "node_447": {
      "node_id": "node_447",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 202.09 kg\n  Factor of Safety: 1.29\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": 202.09055417527918,
      "fos_buckling": 1.28742806285787,
      "fos_yielding": 5.943719533679284,
      "deflection": 0.014534548842197709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005760)"
      },
      "parent_node_id": "node_446",
      "improvement_over_parent": null
    },
    "node_448": {
      "node_id": "node_448",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 245.98 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.20e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 245.98235830313283,
      "fos_buckling": 1.5134084905204954,
      "fos_yielding": 7.240996491429374,
      "deflection": 0.011995966037308672,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_447",
      "improvement_over_parent": null
    },
    "node_449": {
      "node_id": "node_449",
      "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.31 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.310528030496,
      "fos_buckling": 1.5338329209269623,
      "fos_yielding": 7.737874167515721,
      "deflection": 0.011494513717743581,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.431)"
      },
      "parent_node_id": "node_448",
      "improvement_over_parent": null
    },
    "node_450": {
      "node_id": "node_450",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_449",
      "improvement_over_parent": null
    },
    "node_451": {
      "node_id": "node_451",
      "content": "INITIAL DESIGN (Trace 65)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n\nPerformance:\n  Mass: 119.54 kg\n  Factor of Safety: 0.31\n  Max Deflection: 2.64e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.54055822818722,
      "fos_buckling": 0.3130661900358195,
      "fos_yielding": 3.217989612628864,
      "deflection": 0.026378446642693044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_452": {
      "node_id": "node_452",
      "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n\nPerformance:\n  Mass: 123.01 kg\n  Factor of Safety: 0.31\n  Max Deflection: 2.56e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.01299945106021,
      "fos_buckling": 0.310119266039642,
      "fos_yielding": 3.2169135841652854,
      "deflection": 0.025558758012845108,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.326)"
      },
      "parent_node_id": "node_451",
      "improvement_over_parent": null
    },
    "node_453": {
      "node_id": "node_453",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n\nPerformance:\n  Mass: 159.06 kg\n  Factor of Safety: 0.39\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": 159.06239477510093,
      "fos_buckling": 0.38677973990681874,
      "fos_yielding": 4.124463581221544,
      "deflection": 0.019854712365369846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_452",
      "improvement_over_parent": null
    },
    "node_454": {
      "node_id": "node_454",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 172.01 kg\n  Factor of Safety: 0.99\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": 172.0136972776809,
      "fos_buckling": 0.9922936141598245,
      "fos_yielding": 5.626207556782379,
      "deflection": 0.017015272988862885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004559)"
      },
      "parent_node_id": "node_453",
      "improvement_over_parent": null
    },
    "node_455": {
      "node_id": "node_455",
      "content": "MODIFICATION: Increase 4 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 175.73 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.73131672955418,
      "fos_buckling": 1.1354381497287256,
      "fos_yielding": 5.38648820786894,
      "deflection": 0.016359195227639192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.287)"
      },
      "parent_node_id": "node_454",
      "improvement_over_parent": null
    },
    "node_456": {
      "node_id": "node_456",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 205.30 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.29576466736745,
      "fos_buckling": 1.2961473959712027,
      "fos_yielding": 6.29480908514443,
      "deflection": 0.014050767876024883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_455",
      "improvement_over_parent": null
    },
    "node_457": {
      "node_id": "node_457",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5962470125418,
      "fos_buckling": 1.5355548992383,
      "fos_yielding": 7.749311356469061,
      "deflection": 0.011481352935183391,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_456",
      "improvement_over_parent": null
    },
    "node_458": {
      "node_id": "node_458",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_457",
      "improvement_over_parent": null
    },
    "node_459": {
      "node_id": "node_459",
      "content": "INITIAL DESIGN (Trace 66)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_460": {
      "node_id": "node_460",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n  Mass: 164.05 kg\n  Factor of Safety: 0.65\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": 164.04528209703093,
      "fos_buckling": 0.6520339554864892,
      "fos_yielding": 3.726406340803456,
      "deflection": 0.018688899576944484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004415)"
      },
      "parent_node_id": "node_459",
      "improvement_over_parent": null
    },
    "node_461": {
      "node_id": "node_461",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n  Mass: 201.65 kg\n  Factor of Safety: 0.77\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": 201.64860619229387,
      "fos_buckling": 0.7726904395087519,
      "fos_yielding": 4.552727411635655,
      "deflection": 0.015274203669353913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_460",
      "improvement_over_parent": null
    },
    "node_462": {
      "node_id": "node_462",
      "content": "MODIFICATION: Increase 11 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0081)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n  Mass: 207.36 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.3604145255531,
      "fos_buckling": 0.771430500485898,
      "fos_yielding": 4.974079513465628,
      "deflection": 0.01514231224123631,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.433)"
      },
      "parent_node_id": "node_461",
      "improvement_over_parent": null
    },
    "node_463": {
      "node_id": "node_463",
      "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0081)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n  Mass: 209.39 kg\n  Factor of Safety: 0.77\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": 209.39335025374382,
      "fos_buckling": 0.771132146695043,
      "fos_yielding": 4.969534471143149,
      "deflection": 0.014864148372615491,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.188)"
      },
      "parent_node_id": "node_462",
      "improvement_over_parent": null
    },
    "node_464": {
      "node_id": "node_464",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0091)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 234.30 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.29550258865765,
      "fos_buckling": 0.8428170054395668,
      "fos_yielding": 5.532959589415159,
      "deflection": 0.01332152343570732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_463",
      "improvement_over_parent": null
    },
    "node_465": {
      "node_id": "node_465",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0091)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.09 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.0869782770621,
      "fos_buckling": 1.4422761864071378,
      "fos_yielding": 7.978348203666262,
      "deflection": 0.011698658490800155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_464",
      "improvement_over_parent": null
    },
    "node_466": {
      "node_id": "node_466",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_465",
      "improvement_over_parent": null
    },
    "node_467": {
      "node_id": "node_467",
      "content": "INITIAL DESIGN (Trace 67)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 172.72 kg\n  Factor of Safety: 0.80\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": 172.71920599585602,
      "fos_buckling": 0.795728668191792,
      "fos_yielding": 5.010052111904292,
      "deflection": 0.01907513270562032,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_468": {
      "node_id": "node_468",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n  Mass: 192.71 kg\n  Factor of Safety: 0.79\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": 192.70909421473237,
      "fos_buckling": 0.7941570320235529,
      "fos_yielding": 5.000226615681818,
      "deflection": 0.015112861726321538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006388)"
      },
      "parent_node_id": "node_467",
      "improvement_over_parent": null
    },
    "node_469": {
      "node_id": "node_469",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n  Mass: 207.02 kg\n  Factor of Safety: 1.10\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": 207.01973407552472,
      "fos_buckling": 1.0972509840863058,
      "fos_yielding": 6.772116325995514,
      "deflection": 0.01429678909870504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005405)"
      },
      "parent_node_id": "node_468",
      "improvement_over_parent": null
    },
    "node_470": {
      "node_id": "node_470",
      "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n  Mass: 213.53 kg\n  Factor of Safety: 1.36\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": 213.53448130223438,
      "fos_buckling": 1.356217543109659,
      "fos_yielding": 6.670482713280937,
      "deflection": 0.01346479718920361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.468)"
      },
      "parent_node_id": "node_469",
      "improvement_over_parent": null
    },
    "node_471": {
      "node_id": "node_471",
      "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n  Mass: 216.74 kg\n  Factor of Safety: 1.36\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": 216.74467668054422,
      "fos_buckling": 1.3557799158922657,
      "fos_yielding": 6.647189001561451,
      "deflection": 0.013327040834542673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.346)"
      },
      "parent_node_id": "node_470",
      "improvement_over_parent": null
    },
    "node_472": {
      "node_id": "node_472",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4582833590807,
      "fos_buckling": 1.534563164694464,
      "fos_yielding": 7.745605506164285,
      "deflection": 0.011488344375125172,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_471",
      "improvement_over_parent": null
    },
    "node_473": {
      "node_id": "node_473",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_472",
      "improvement_over_parent": null
    },
    "node_474": {
      "node_id": "node_474",
      "content": "INITIAL DESIGN (Trace 68)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 184.76 kg\n  Factor of Safety: 0.80\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": 184.75560187409832,
      "fos_buckling": 0.7961539925145458,
      "fos_yielding": 5.7542825367906385,
      "deflection": 0.019107006079353863,
      "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 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 200.95 kg\n  Factor of Safety: 1.12\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": 200.94868257811618,
      "fos_buckling": 1.1218436614877914,
      "fos_yielding": 5.821508800017734,
      "deflection": 0.015286606295983565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005901)"
      },
      "parent_node_id": "node_474",
      "improvement_over_parent": null
    },
    "node_476": {
      "node_id": "node_476",
      "content": "MODIFICATION: Increase 1 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 208.40 kg\n  Factor of Safety: 1.20\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": 208.39646570145982,
      "fos_buckling": 1.2039748249962654,
      "fos_yielding": 6.743120604256929,
      "deflection": 0.014050475749698092,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.553)"
      },
      "parent_node_id": "node_475",
      "improvement_over_parent": null
    },
    "node_477": {
      "node_id": "node_477",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0064)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 211.07 kg\n  Factor of Safety: 1.21\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": 211.07196025178615,
      "fos_buckling": 1.2058132525148773,
      "fos_yielding": 6.757120576265306,
      "deflection": 0.013977161200767514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.238)"
      },
      "parent_node_id": "node_476",
      "improvement_over_parent": null
    },
    "node_478": {
      "node_id": "node_478",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0077)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 251.04 kg\n  Factor of Safety: 1.40\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.0392946966239,
      "fos_buckling": 1.3977056659605573,
      "fos_yielding": 8.037567184553135,
      "deflection": 0.011799454784545119,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_477",
      "improvement_over_parent": null
    },
    "node_479": {
      "node_id": "node_479",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 69)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0026)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n  Mass: 115.46 kg\n  Factor of Safety: 0.39\n  Max Deflection: 3.54e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.45593488704415,
      "fos_buckling": 0.38821076534849197,
      "fos_yielding": 2.050000649126612,
      "deflection": 0.035373913305327624,
      "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: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0026)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n  Mass: 115.55 kg\n  Factor of Safety: 0.39\n  Max Deflection: 3.54e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.55482598069453,
      "fos_buckling": 0.3882070066689067,
      "fos_yielding": 2.0499808686100174,
      "deflection": 0.0353596801830365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.385)"
      },
      "parent_node_id": "node_480",
      "improvement_over_parent": null
    },
    "node_482": {
      "node_id": "node_482",
      "content": "MODIFICATION: Increase 13 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n  Mass: 117.55 kg\n  Factor of Safety: 0.39\n  Max Deflection: 3.52e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.55499951554295,
      "fos_buckling": 0.38816899918855724,
      "fos_yielding": 2.0497808494664267,
      "deflection": 0.03517375049483891,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.287)"
      },
      "parent_node_id": "node_481",
      "improvement_over_parent": null
    },
    "node_483": {
      "node_id": "node_483",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n\nPerformance:\n  Mass: 131.71 kg\n  Factor of Safety: 0.88\n  Max Deflection: 2.17e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.71270811478632,
      "fos_buckling": 0.8798742272248432,
      "fos_yielding": 4.034592213698286,
      "deflection": 0.021716752710527407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004064)"
      },
      "parent_node_id": "node_482",
      "improvement_over_parent": null
    },
    "node_484": {
      "node_id": "node_484",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n\nPerformance:\n  Mass: 156.44 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.43638230631277,
      "fos_buckling": 1.0255605048706764,
      "fos_yielding": 4.793274536564479,
      "deflection": 0.018336636818375274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_483",
      "improvement_over_parent": null
    },
    "node_485": {
      "node_id": "node_485",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n\nPerformance:\n  Mass: 194.57 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.56712097250764,
      "fos_buckling": 1.2384102734710642,
      "fos_yielding": 5.964212472078685,
      "deflection": 0.014807633817638902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_484",
      "improvement_over_parent": null
    },
    "node_486": {
      "node_id": "node_486",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n\nPerformance:\n  Mass: 218.12 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.12328247977007,
      "fos_buckling": 1.3627857189500656,
      "fos_yielding": 6.688096828531202,
      "deflection": 0.013244064727383775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_485",
      "improvement_over_parent": null
    },
    "node_487": {
      "node_id": "node_487",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n  Mass: 252.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.66915960291277,
      "fos_buckling": 1.5354465595570839,
      "fos_yielding": 7.75040189296138,
      "deflection": 0.011478327802129753,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_486",
      "improvement_over_parent": null
    },
    "node_488": {
      "node_id": "node_488",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_487",
      "improvement_over_parent": null
    },
    "node_489": {
      "node_id": "node_489",
      "content": "INITIAL DESIGN (Trace 70)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 143.53 kg\n  Factor of Safety: 0.11\n  Max Deflection: 3.59e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.52758133562526,
      "fos_buckling": 0.11245330673293216,
      "fos_yielding": 0.8474577543759946,
      "deflection": 35875171790044.21,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_490": {
      "node_id": "node_490",
      "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 143.74 kg\n  Factor of Safety: 0.11\n  Max Deflection: 3.59e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.73677827153813,
      "fos_buckling": 0.11245330673293216,
      "fos_yielding": 0.8474577543759946,
      "deflection": 35875171790044.21,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.241)"
      },
      "parent_node_id": "node_489",
      "improvement_over_parent": null
    },
    "node_491": {
      "node_id": "node_491",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n\nPerformance:\n  Mass: 161.05 kg\n  Factor of Safety: 0.30\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": 161.0532289223554,
      "fos_buckling": 0.29528111036071303,
      "fos_yielding": 3.702298811115075,
      "deflection": 0.01929187660003061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005449)"
      },
      "parent_node_id": "node_490",
      "improvement_over_parent": null
    },
    "node_492": {
      "node_id": "node_492",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 184.31 kg\n  Factor of Safety: 0.33\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.31350998048163,
      "fos_buckling": 0.3320709253118844,
      "fos_yielding": 4.23811365832294,
      "deflection": 0.016894834842712054,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_491",
      "improvement_over_parent": null
    },
    "node_493": {
      "node_id": "node_493",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n  Mass: 199.18 kg\n  Factor of Safety: 1.26\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": 199.18075539047032,
      "fos_buckling": 1.2632709297764255,
      "fos_yielding": 6.10614269930971,
      "deflection": 0.014472225772474508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005246)"
      },
      "parent_node_id": "node_492",
      "improvement_over_parent": null
    },
    "node_494": {
      "node_id": "node_494",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5228647999806,
      "fos_buckling": 1.5348263360505134,
      "fos_yielding": 7.746131858799686,
      "deflection": 0.01148474791850448,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_493",
      "improvement_over_parent": null
    },
    "node_495": {
      "node_id": "node_495",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_494",
      "improvement_over_parent": null
    },
    "node_496": {
      "node_id": "node_496",
      "content": "INITIAL DESIGN (Trace 71)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 163.19 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.18687020047915,
      "fos_buckling": 0.6329219228022313,
      "fos_yielding": 3.5777078717706576,
      "deflection": 0.018923550354691124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_497": {
      "node_id": "node_497",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 209.11 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": 209.1117586578228,
      "fos_buckling": 0.7766182798959714,
      "fos_yielding": 4.5445867687252015,
      "deflection": 0.01485241253806949,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_496",
      "improvement_over_parent": null
    },
    "node_498": {
      "node_id": "node_498",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n\nPerformance:\n  Mass: 222.37 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.36898954269185,
      "fos_buckling": 1.2582589689934771,
      "fos_yielding": 7.354294547506958,
      "deflection": 0.013015578563271657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005558)"
      },
      "parent_node_id": "node_497",
      "improvement_over_parent": null
    },
    "node_499": {
      "node_id": "node_499",
      "content": "MODIFICATION: Increase 3 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n\nPerformance:\n  Mass: 227.21 kg\n  Factor of Safety: 1.41\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": 227.20692045528625,
      "fos_buckling": 1.4093260018694702,
      "fos_yielding": 6.967414935018407,
      "deflection": 0.012727858135947689,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.420)"
      },
      "parent_node_id": "node_498",
      "improvement_over_parent": null
    },
    "node_500": {
      "node_id": "node_500",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.23 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.22683673614168,
      "fos_buckling": 1.53333183646317,
      "fos_yielding": 7.736875464698137,
      "deflection": 0.011497981424382834,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_499",
      "improvement_over_parent": null
    },
    "node_501": {
      "node_id": "node_501",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_500",
      "improvement_over_parent": null
    },
    "node_502": {
      "node_id": "node_502",
      "content": "INITIAL DESIGN (Trace 72)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 188.56 kg\n  Factor of Safety: 0.60\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": 188.55806635216953,
      "fos_buckling": 0.5989758473865829,
      "fos_yielding": 3.343193463418162,
      "deflection": 0.02179166580183723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_503": {
      "node_id": "node_503",
      "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 192.88 kg\n  Factor of Safety: 0.60\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": 192.88249792561754,
      "fos_buckling": 0.598598379154639,
      "fos_yielding": 3.3107775179771153,
      "deflection": 0.0216305956833655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.468)"
      },
      "parent_node_id": "node_502",
      "improvement_over_parent": null
    },
    "node_504": {
      "node_id": "node_504",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 224.66 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.66348975311138,
      "fos_buckling": 0.6777054387118596,
      "fos_yielding": 3.8517949319937825,
      "deflection": 0.018635108662415793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_503",
      "improvement_over_parent": null
    },
    "node_505": {
      "node_id": "node_505",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 251.80 kg\n  Factor of Safety: 1.50\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": 251.80201332149383,
      "fos_buckling": 1.497587044644487,
      "fos_yielding": 7.428979245628629,
      "deflection": 0.011520163456340583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_504",
      "improvement_over_parent": null
    },
    "node_506": {
      "node_id": "node_506",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.50633416841487,
      "fos_buckling": 1.534579389249873,
      "fos_yielding": 7.746169870426724,
      "deflection": 0.01148524284781046,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_505",
      "improvement_over_parent": null
    },
    "node_507": {
      "node_id": "node_507",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_506",
      "improvement_over_parent": null
    },
    "node_508": {
      "node_id": "node_508",
      "content": "INITIAL DESIGN (Trace 73)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 138.17 kg\n  Factor of Safety: 0.39\n  Max Deflection: 3.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.17221325771055,
      "fos_buckling": 0.3869436106144138,
      "fos_yielding": 2.547985630335488,
      "deflection": 0.031316281520059115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_509": {
      "node_id": "node_509",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 173.10 kg\n  Factor of Safety: 0.47\n  Max Deflection: 2.51e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.10306623605862,
      "fos_buckling": 0.47361797770792596,
      "fos_yielding": 3.1758057604062673,
      "deflection": 0.025070495862958706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_508",
      "improvement_over_parent": null
    },
    "node_510": {
      "node_id": "node_510",
      "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 180.28 kg\n  Factor of Safety: 0.47\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": 180.27913299508506,
      "fos_buckling": 0.4731220643086968,
      "fos_yielding": 3.1724965273321755,
      "deflection": 0.02406497751992513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.582)"
      },
      "parent_node_id": "node_509",
      "improvement_over_parent": null
    },
    "node_511": {
      "node_id": "node_511",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n  Mass: 202.37 kg\n  Factor of Safety: 1.23\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": 202.36893333434307,
      "fos_buckling": 1.2326137423848365,
      "fos_yielding": 6.521936491994639,
      "deflection": 0.014247918708341818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006511)"
      },
      "parent_node_id": "node_510",
      "improvement_over_parent": null
    },
    "node_512": {
      "node_id": "node_512",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n  Mass: 248.87 kg\n  Factor of Safety: 1.47\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": 248.87291660345645,
      "fos_buckling": 1.4731345690569042,
      "fos_yielding": 8.019480019280028,
      "deflection": 0.011646714246935802,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_511",
      "improvement_over_parent": null
    },
    "node_513": {
      "node_id": "node_513",
      "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n  Mass: 252.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.59996727837338,
      "fos_buckling": 1.5355299779944087,
      "fos_yielding": 7.748984249275442,
      "deflection": 0.011481867162364092,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.263)"
      },
      "parent_node_id": "node_512",
      "improvement_over_parent": null
    },
    "node_514": {
      "node_id": "node_514",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_513",
      "improvement_over_parent": null
    },
    "node_515": {
      "node_id": "node_515",
      "content": "INITIAL DESIGN (Trace 74)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 210.01 kg\n  Factor of Safety: 0.41\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": 210.0059678610816,
      "fos_buckling": 0.4119745725775305,
      "fos_yielding": 3.8175452879403093,
      "deflection": 0.017002046536693585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_516": {
      "node_id": "node_516",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 228.62 kg\n  Factor of Safety: 0.92\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": 228.6214939174489,
      "fos_buckling": 0.9161524401780384,
      "fos_yielding": 6.8120164773663126,
      "deflection": 0.014776584110545872,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_515",
      "improvement_over_parent": null
    },
    "node_517": {
      "node_id": "node_517",
      "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 229.19 kg\n  Factor of Safety: 0.92\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": 229.18859408257566,
      "fos_buckling": 0.9161524401780385,
      "fos_yielding": 6.8120164773663126,
      "deflection": 0.014732959746063246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.580)"
      },
      "parent_node_id": "node_516",
      "improvement_over_parent": null
    },
    "node_518": {
      "node_id": "node_518",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4744336846729,
      "fos_buckling": 1.5345786924020575,
      "fos_yielding": 7.74443680384553,
      "deflection": 0.011486911834632648,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_517",
      "improvement_over_parent": null
    },
    "node_519": {
      "node_id": "node_519",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_518",
      "improvement_over_parent": null
    },
    "node_520": {
      "node_id": "node_520",
      "content": "INITIAL DESIGN (Trace 75)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 144.13 kg\n  Factor of Safety: 0.73\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": 144.12743056593854,
      "fos_buckling": 0.7329604673368919,
      "fos_yielding": 2.923523530802761,
      "deflection": 0.020746943084601784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_521": {
      "node_id": "node_521",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 183.16 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.16006196509042,
      "fos_buckling": 0.9181076058492893,
      "fos_yielding": 3.7332875030362223,
      "deflection": 0.016385178435213248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_520",
      "improvement_over_parent": null
    },
    "node_522": {
      "node_id": "node_522",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n\nPerformance:\n  Mass: 183.53 kg\n  Factor of Safety: 0.96\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": 183.5257556506949,
      "fos_buckling": 0.9574833500524675,
      "fos_yielding": 3.893400514648291,
      "deflection": 0.016321344730940813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001061)"
      },
      "parent_node_id": "node_521",
      "improvement_over_parent": null
    },
    "node_523": {
      "node_id": "node_523",
      "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n\nPerformance:\n  Mass: 184.08 kg\n  Factor of Safety: 1.15\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": 184.07531895837457,
      "fos_buckling": 1.1465772131995162,
      "fos_yielding": 5.287995601695634,
      "deflection": 0.01610222640992976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.427)"
      },
      "parent_node_id": "node_522",
      "improvement_over_parent": null
    },
    "node_524": {
      "node_id": "node_524",
      "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0036)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n\nPerformance:\n  Mass: 184.62 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.61860803082925,
      "fos_buckling": 1.1465047067086398,
      "fos_yielding": 5.293321020684031,
      "deflection": 0.0160668128876675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.486)"
      },
      "parent_node_id": "node_523",
      "improvement_over_parent": null
    },
    "node_525": {
      "node_id": "node_525",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0040)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n  Mass: 204.33 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.32840188086178,
      "fos_buckling": 1.24977274937631,
      "fos_yielding": 5.861353534037564,
      "deflection": 0.014545193543192031,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_524",
      "improvement_over_parent": null
    },
    "node_526": {
      "node_id": "node_526",
      "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0040)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n  Mass: 211.45 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.44752848944165,
      "fos_buckling": 1.325768779981949,
      "fos_yielding": 6.457964784015803,
      "deflection": 0.013649056342362747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.658)"
      },
      "parent_node_id": "node_525",
      "improvement_over_parent": null
    },
    "node_527": {
      "node_id": "node_527",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n  Mass: 253.20 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.20400830438962,
      "fos_buckling": 1.5355535626441261,
      "fos_yielding": 7.737618052855927,
      "deflection": 0.011451894019468426,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_526",
      "improvement_over_parent": null
    },
    "node_528": {
      "node_id": "node_528",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_527",
      "improvement_over_parent": null
    },
    "node_529": {
      "node_id": "node_529",
      "content": "INITIAL DESIGN (Trace 76)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0022)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n  Mass: 123.93 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.29e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.92842594040494,
      "fos_buckling": 0.6874618155381523,
      "fos_yielding": 3.7171680108428613,
      "deflection": 0.022927683268263426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_530": {
      "node_id": "node_530",
      "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n  Mass: 126.82 kg\n  Factor of Safety: 0.85\n  Max Deflection: 2.25e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.81941801424395,
      "fos_buckling": 0.8503196016707785,
      "fos_yielding": 3.8846584755631888,
      "deflection": 0.022542425447004945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.458)"
      },
      "parent_node_id": "node_529",
      "improvement_over_parent": null
    },
    "node_531": {
      "node_id": "node_531",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 157.11 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.11212406390825,
      "fos_buckling": 1.0294582126772924,
      "fos_yielding": 4.814228483452722,
      "deflection": 0.01825955122487567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_530",
      "improvement_over_parent": null
    },
    "node_532": {
      "node_id": "node_532",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 203.75 kg\n  Factor of Safety: 1.29\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": 203.74865075131873,
      "fos_buckling": 1.287534575768938,
      "fos_yielding": 6.246584545572646,
      "deflection": 0.014155483500216712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_531",
      "improvement_over_parent": null
    },
    "node_533": {
      "node_id": "node_533",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.55185820923325,
      "fos_buckling": 1.5348851682644284,
      "fos_yielding": 7.747118078645642,
      "deflection": 0.011483732876470977,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_532",
      "improvement_over_parent": null
    },
    "node_534": {
      "node_id": "node_534",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_533",
      "improvement_over_parent": null
    },
    "node_535": {
      "node_id": "node_535",
      "content": "INITIAL DESIGN (Trace 77)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 183.58 kg\n  Factor of Safety: 0.74\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": 183.58207339805568,
      "fos_buckling": 0.7365885288569912,
      "fos_yielding": 4.504144505571409,
      "deflection": 0.017392695973736667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_536": {
      "node_id": "node_536",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n\nPerformance:\n  Mass: 199.39 kg\n  Factor of Safety: 0.73\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": 199.38928880774134,
      "fos_buckling": 0.7332560610018931,
      "fos_yielding": 4.223672942857032,
      "deflection": 0.015603520915372787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005604)"
      },
      "parent_node_id": "node_535",
      "improvement_over_parent": null
    },
    "node_537": {
      "node_id": "node_537",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 237.70 kg\n  Factor of Safety: 0.84\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": 237.6963965880018,
      "fos_buckling": 0.8434350734199468,
      "fos_yielding": 5.000912153153331,
      "deflection": 0.0131515333142803,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_536",
      "improvement_over_parent": null
    },
    "node_538": {
      "node_id": "node_538",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.42 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.42090419665936,
      "fos_buckling": 1.5342967344847747,
      "fos_yielding": 7.742813774061213,
      "deflection": 0.011489336283399735,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_537",
      "improvement_over_parent": null
    },
    "node_539": {
      "node_id": "node_539",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_538",
      "improvement_over_parent": null
    },
    "node_540": {
      "node_id": "node_540",
      "content": "INITIAL DESIGN (Trace 78)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n\nPerformance:\n  Mass: 101.32 kg\n  Factor of Safety: 0.26\n  Max Deflection: 1.38e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 101.32371146889814,
      "fos_buckling": 0.26150780456003353,
      "fos_yielding": 1.3880638174239337,
      "deflection": 138329283410650.47,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_541": {
      "node_id": "node_541",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n\nPerformance:\n  Mass: 124.56 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.12e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.5649191155511,
      "fos_buckling": 1.060319872937051,
      "fos_yielding": 6.779662035007957,
      "deflection": 11179024204533.238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_540",
      "improvement_over_parent": null
    },
    "node_542": {
      "node_id": "node_542",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 135.58 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.28e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.57634569362136,
      "fos_buckling": 0.5462657323531043,
      "fos_yielding": 3.3797729886325407,
      "deflection": 0.022759724339422426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003840)"
      },
      "parent_node_id": "node_541",
      "improvement_over_parent": null
    },
    "node_543": {
      "node_id": "node_543",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 176.54 kg\n  Factor of Safety: 0.68\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": 176.54143768288208,
      "fos_buckling": 0.6845483949971258,
      "fos_yielding": 4.365579965365917,
      "deflection": 0.017562820699152878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_542",
      "improvement_over_parent": null
    },
    "node_544": {
      "node_id": "node_544",
      "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 180.70 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.70363723172966,
      "fos_buckling": 0.6837300609191826,
      "fos_yielding": 3.913655829391619,
      "deflection": 0.01695431049134878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.279)"
      },
      "parent_node_id": "node_543",
      "improvement_over_parent": null
    },
    "node_545": {
      "node_id": "node_545",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 235.03 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.0252214796532,
      "fos_buckling": 0.8450513669991561,
      "fos_yielding": 5.0500073990836105,
      "deflection": 0.013124253237585233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_544",
      "improvement_over_parent": null
    },
    "node_546": {
      "node_id": "node_546",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.82 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.81669716805763,
      "fos_buckling": 1.5362776685791852,
      "fos_yielding": 7.755903404447945,
      "deflection": 0.011470792928629991,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_545",
      "improvement_over_parent": null
    },
    "node_547": {
      "node_id": "node_547",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_546",
      "improvement_over_parent": null
    },
    "node_548": {
      "node_id": "node_548",
      "content": "INITIAL DESIGN (Trace 79)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 160.56 kg\n  Factor of Safety: 0.92\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": 160.56094669456266,
      "fos_buckling": 0.9172391778772904,
      "fos_yielding": 4.924031914812416,
      "deflection": 0.01789439648525136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_549": {
      "node_id": "node_549",
      "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 160.87 kg\n  Factor of Safety: 1.05\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": 160.86878422521625,
      "fos_buckling": 1.051085715296185,
      "fos_yielding": 4.9293978068059,
      "deflection": 0.01784041792947865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.441)"
      },
      "parent_node_id": "node_548",
      "improvement_over_parent": null
    },
    "node_550": {
      "node_id": "node_550",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 200.88 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.87773389058248,
      "fos_buckling": 1.2723166692586003,
      "fos_yielding": 6.15817850123091,
      "deflection": 0.014352744184050348,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_549",
      "improvement_over_parent": null
    },
    "node_551": {
      "node_id": "node_551",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.12 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.118247507305,
      "fos_buckling": 1.532848479043989,
      "fos_yielding": 7.733551151708892,
      "deflection": 0.011502646978907401,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_550",
      "improvement_over_parent": null
    },
    "node_552": {
      "node_id": "node_552",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_551",
      "improvement_over_parent": null
    },
    "node_553": {
      "node_id": "node_553",
      "content": "INITIAL DESIGN (Trace 80)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 174.74 kg\n  Factor of Safety: 0.86\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": 174.73671361342446,
      "fos_buckling": 0.8648678228905168,
      "fos_yielding": 5.207393063654184,
      "deflection": 0.01720110662955133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_554": {
      "node_id": "node_554",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 208.91 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.91324080229035,
      "fos_buckling": 1.017905630897971,
      "fos_yielding": 6.221288180303542,
      "deflection": 0.014433337793245082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_553",
      "improvement_over_parent": null
    },
    "node_555": {
      "node_id": "node_555",
      "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 216.94 kg\n  Factor of Safety: 1.36\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": 216.94179191006683,
      "fos_buckling": 1.3566837089419483,
      "fos_yielding": 6.65111999831058,
      "deflection": 0.013314035487644822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.639)"
      },
      "parent_node_id": "node_554",
      "improvement_over_parent": null
    },
    "node_556": {
      "node_id": "node_556",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.30 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.29511134893534,
      "fos_buckling": 1.5336481492821437,
      "fos_yielding": 7.738136113378142,
      "deflection": 0.01149454831330604,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_555",
      "improvement_over_parent": null
    },
    "node_557": {
      "node_id": "node_557",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_556",
      "improvement_over_parent": null
    },
    "node_558": {
      "node_id": "node_558",
      "content": "INITIAL DESIGN (Trace 81)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 125.20 kg\n  Factor of Safety: 0.13\n  Max Deflection: 1.03e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.201754106174,
      "fos_buckling": 0.1299730262804645,
      "fos_yielding": 0.8474577543759946,
      "deflection": 103234491196577.84,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_559": {
      "node_id": "node_559",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n\nPerformance:\n  Mass: 126.35 kg\n  Factor of Safety: 0.48\n  Max Deflection: 3.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.34875495165065,
      "fos_buckling": 0.48243862772554,
      "fos_yielding": 1.732826574128948,
      "deflection": 0.03265174691932619,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.001740)"
      },
      "parent_node_id": "node_558",
      "improvement_over_parent": null
    },
    "node_560": {
      "node_id": "node_560",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n\nPerformance:\n  Mass: 159.63 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.59e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.6273376391768,
      "fos_buckling": 0.5893261728482538,
      "fos_yielding": 2.1815855390028935,
      "deflection": 0.02593147810434443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_559",
      "improvement_over_parent": null
    },
    "node_561": {
      "node_id": "node_561",
      "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n\nPerformance:\n  Mass: 159.89 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.56e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.8923283348092,
      "fos_buckling": 0.5893109517107319,
      "fos_yielding": 2.7118895451523404,
      "deflection": 0.02561941223877433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.504)"
      },
      "parent_node_id": "node_560",
      "improvement_over_parent": null
    },
    "node_562": {
      "node_id": "node_562",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n\nPerformance:\n  Mass: 173.90 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.47e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.8965538412487,
      "fos_buckling": 0.5579704486807432,
      "fos_yielding": 2.281072163375926,
      "deflection": 0.02466129611000156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005280)"
      },
      "parent_node_id": "node_561",
      "improvement_over_parent": null
    },
    "node_563": {
      "node_id": "node_563",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 188.84 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.27e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.84134970885023,
      "fos_buckling": 0.5692780310018737,
      "fos_yielding": 2.327299362914536,
      "deflection": 0.022730053691188384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005454)"
      },
      "parent_node_id": "node_562",
      "improvement_over_parent": null
    },
    "node_564": {
      "node_id": "node_564",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 224.78 kg\n  Factor of Safety: 0.67\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.77840457938444,
      "fos_buckling": 0.6674134212660062,
      "fos_yielding": 2.7809508189889347,
      "deflection": 0.01915922306924674,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_563",
      "improvement_over_parent": null
    },
    "node_565": {
      "node_id": "node_565",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 251.92 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.9169281477669,
      "fos_buckling": 1.3263911547656708,
      "fos_yielding": 5.526752160824649,
      "deflection": 0.011640850959024788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_564",
      "improvement_over_parent": null
    },
    "node_566": {
      "node_id": "node_566",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 82)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_568": {
      "node_id": "node_568",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n  Mass: 164.62 kg\n  Factor of Safety: 0.11\n  Max Deflection: 6.82e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.622763581465,
      "fos_buckling": 0.10863849230851835,
      "fos_yielding": 0.8474577543759946,
      "deflection": 68151304936347.625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005962)"
      },
      "parent_node_id": "node_567",
      "improvement_over_parent": null
    },
    "node_569": {
      "node_id": "node_569",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n  Mass: 179.43 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.43e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.4261126293144,
      "fos_buckling": 1.0299389103035221,
      "fos_yielding": 3.389831017503978,
      "deflection": 14292527834852.172,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005607)"
      },
      "parent_node_id": "node_568",
      "improvement_over_parent": null
    },
    "node_570": {
      "node_id": "node_570",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n  Mass: 203.53 kg\n  Factor of Safety: 0.83\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": 203.52634705852248,
      "fos_buckling": 0.8321189675289322,
      "fos_yielding": 6.064896457840886,
      "deflection": 0.01654233381505953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007154)"
      },
      "parent_node_id": "node_569",
      "improvement_over_parent": null
    },
    "node_571": {
      "node_id": "node_571",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 229.27 kg\n  Factor of Safety: 0.92\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": 229.2717947653237,
      "fos_buckling": 0.9163884558416963,
      "fos_yielding": 6.814400215818284,
      "deflection": 0.014727830551122275,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_570",
      "improvement_over_parent": null
    },
    "node_572": {
      "node_id": "node_572",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.55763436742095,
      "fos_buckling": 1.534883123725222,
      "fos_yielding": 7.7476576335631995,
      "deflection": 0.01148318264321249,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_571",
      "improvement_over_parent": null
    },
    "node_573": {
      "node_id": "node_573",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_572",
      "improvement_over_parent": null
    },
    "node_574": {
      "node_id": "node_574",
      "content": "INITIAL DESIGN (Trace 83)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 179.63 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.44e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.63296997398692,
      "fos_buckling": 0.4540956552010166,
      "fos_yielding": 3.171170199591622,
      "deflection": 0.024398367885700184,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_575": {
      "node_id": "node_575",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 220.93 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.92925848761885,
      "fos_buckling": 0.5447393519308471,
      "fos_yielding": 3.8785673404553624,
      "deflection": 0.019905423270957595,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_574",
      "improvement_over_parent": null
    },
    "node_576": {
      "node_id": "node_576",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 248.07 kg\n  Factor of Safety: 1.43\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": 248.0677820560013,
      "fos_buckling": 1.4339343007634417,
      "fos_yielding": 8.076142177491668,
      "deflection": 0.011688754699356122,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_575",
      "improvement_over_parent": null
    },
    "node_577": {
      "node_id": "node_577",
      "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47089271357862,
      "fos_buckling": 1.53460924197472,
      "fos_yielding": 7.743577074738273,
      "deflection": 0.011487102928671592,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.325)"
      },
      "parent_node_id": "node_576",
      "improvement_over_parent": null
    },
    "node_578": {
      "node_id": "node_578",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 84)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 203.21 kg\n  Factor of Safety: 0.39\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": 203.21258170185007,
      "fos_buckling": 0.389391926714108,
      "fos_yielding": 4.732862348899811,
      "deflection": 0.015246945371641448,
      "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: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 203.70 kg\n  Factor of Safety: 0.38\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": 203.70215078339476,
      "fos_buckling": 0.3795384675075574,
      "fos_yielding": 4.732862348899806,
      "deflection": 0.015213521219046964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.555)"
      },
      "parent_node_id": "node_579",
      "improvement_over_parent": null
    },
    "node_581": {
      "node_id": "node_581",
      "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 205.79 kg\n  Factor of Safety: 0.36\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": 205.7903023731792,
      "fos_buckling": 0.3647715725609241,
      "fos_yielding": 4.733159352918656,
      "deflection": 0.015162298777839995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.208)"
      },
      "parent_node_id": "node_580",
      "improvement_over_parent": null
    },
    "node_582": {
      "node_id": "node_582",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.51 kg\n  Factor of Safety: 0.41\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": 233.51210954051555,
      "fos_buckling": 0.4050771460573281,
      "fos_yielding": 5.372429679305777,
      "deflection": 0.013397639754010203,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_581",
      "improvement_over_parent": null
    },
    "node_583": {
      "node_id": "node_583",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.36015755582775,
      "fos_buckling": 1.5339990128768628,
      "fos_yielding": 7.741261847225742,
      "deflection": 0.011492027154248706,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_582",
      "improvement_over_parent": null
    },
    "node_584": {
      "node_id": "node_584",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_583",
      "improvement_over_parent": null
    },
    "node_585": {
      "node_id": "node_585",
      "content": "INITIAL DESIGN (Trace 85)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0032)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 134.33 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.28e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.33393247900713,
      "fos_buckling": 0.5509605633633627,
      "fos_yielding": 3.0606586383673235,
      "deflection": 0.022838543955287532,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_586": {
      "node_id": "node_586",
      "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0032)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 136.39 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.22e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.38554892269798,
      "fos_buckling": 0.5507423898127164,
      "fos_yielding": 3.0580769992689563,
      "deflection": 0.022156210038754405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.302)"
      },
      "parent_node_id": "node_585",
      "improvement_over_parent": null
    },
    "node_587": {
      "node_id": "node_587",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 157.87 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.86961335824157,
      "fos_buckling": 0.6246930615588662,
      "fos_yielding": 3.5249858925896493,
      "deflection": 0.019195723087342097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_586",
      "improvement_over_parent": null
    },
    "node_588": {
      "node_id": "node_588",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 203.00 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.50e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.9985454749184,
      "fos_buckling": 0.7691448705582146,
      "fos_yielding": 4.492934333324712,
      "deflection": 0.015017909642111756,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_587",
      "improvement_over_parent": null
    },
    "node_589": {
      "node_id": "node_589",
      "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 208.05 kg\n  Factor of Safety: 0.77\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": 208.05057551665675,
      "fos_buckling": 0.7687747480455506,
      "fos_yielding": 4.470686388623404,
      "deflection": 0.01474687064921407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.350)"
      },
      "parent_node_id": "node_588",
      "improvement_over_parent": null
    },
    "node_590": {
      "node_id": "node_590",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 234.22 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.2154540586397,
      "fos_buckling": 0.8441539667618504,
      "fos_yielding": 5.009183773655833,
      "deflection": 0.01314439772305236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_589",
      "improvement_over_parent": null
    },
    "node_591": {
      "node_id": "node_591",
      "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 237.75 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.74580443217923,
      "fos_buckling": 0.8435893629383813,
      "fos_yielding": 5.002074438617245,
      "deflection": 0.01314866224511442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.272)"
      },
      "parent_node_id": "node_590",
      "improvement_over_parent": null
    },
    "node_592": {
      "node_id": "node_592",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4703120408368,
      "fos_buckling": 1.5347268231339342,
      "fos_yielding": 7.743835990970623,
      "deflection": 0.011486787840456179,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_591",
      "improvement_over_parent": null
    },
    "node_593": {
      "node_id": "node_593",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_592",
      "improvement_over_parent": null
    },
    "node_594": {
      "node_id": "node_594",
      "content": "INITIAL DESIGN (Trace 86)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n  Mass: 99.92 kg\n  Factor of Safety: 0.47\n  Max Deflection: 3.35e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.92020893782559,
      "fos_buckling": 0.4657905739262618,
      "fos_yielding": 2.5934617746624813,
      "deflection": 0.03354975897074172,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_595": {
      "node_id": "node_595",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n\nPerformance:\n  Mass: 110.87 kg\n  Factor of Safety: 0.47\n  Max Deflection: 2.63e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.86906032829627,
      "fos_buckling": 0.4652859571115507,
      "fos_yielding": 2.5906645351228006,
      "deflection": 0.026349300183998725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003378)"
      },
      "parent_node_id": "node_594",
      "improvement_over_parent": null
    },
    "node_596": {
      "node_id": "node_596",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n\nPerformance:\n  Mass: 144.43 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.4284505217207,
      "fos_buckling": 0.5916823182545718,
      "fos_yielding": 3.3689586745830042,
      "deflection": 0.020297273584678893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_595",
      "improvement_over_parent": null
    },
    "node_597": {
      "node_id": "node_597",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n\nPerformance:\n  Mass: 183.52 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.51628487693694,
      "fos_buckling": 0.730458291931717,
      "fos_yielding": 4.27205147172768,
      "deflection": 0.016038700166314358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_596",
      "improvement_over_parent": null
    },
    "node_598": {
      "node_id": "node_598",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 235.68 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.68144113898336,
      "fos_buckling": 0.9015326158552414,
      "fos_yielding": 5.471598269676318,
      "deflection": 0.012555885078607469,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_597",
      "improvement_over_parent": null
    },
    "node_599": {
      "node_id": "node_599",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.35172494524045,
      "fos_buckling": 1.5339382849877203,
      "fos_yielding": 7.739835609714844,
      "deflection": 0.011492598344234363,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_598",
      "improvement_over_parent": null
    },
    "node_600": {
      "node_id": "node_600",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_599",
      "improvement_over_parent": null
    },
    "node_601": {
      "node_id": "node_601",
      "content": "INITIAL DESIGN (Trace 87)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0021)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n  Mass: 128.24 kg\n  Factor of Safety: 0.84\n  Max Deflection: 2.21e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.23669871740603,
      "fos_buckling": 0.8390408694384583,
      "fos_yielding": 4.007173407110098,
      "deflection": 0.022093181618460536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_602": {
      "node_id": "node_602",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 165.89 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.72e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.89215563623418,
      "fos_buckling": 1.051204022155208,
      "fos_yielding": 5.185107335608295,
      "deflection": 0.017154206675419795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_601",
      "improvement_over_parent": null
    },
    "node_603": {
      "node_id": "node_603",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 216.82 kg\n  Factor of Safety: 1.31\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": 216.81842599691865,
      "fos_buckling": 1.3144787498619919,
      "fos_yielding": 6.778990762346672,
      "deflection": 0.013203610719162186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_602",
      "improvement_over_parent": null
    },
    "node_604": {
      "node_id": "node_604",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 246.27 kg\n  Factor of Safety: 1.45\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": 246.27392612215596,
      "fos_buckling": 1.4546259247337048,
      "fos_yielding": 7.701274900489767,
      "deflection": 0.011664434342625558,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_603",
      "improvement_over_parent": null
    },
    "node_605": {
      "node_id": "node_605",
      "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.50993543350194,
      "fos_buckling": 1.5347911185961818,
      "fos_yielding": 7.7458533459590635,
      "deflection": 0.011485099480468835,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.592)"
      },
      "parent_node_id": "node_604",
      "improvement_over_parent": null
    },
    "node_606": {
      "node_id": "node_606",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_605",
      "improvement_over_parent": null
    },
    "node_607": {
      "node_id": "node_607",
      "content": "INITIAL DESIGN (Trace 88)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0029)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 153.75 kg\n  Factor of Safety: 0.37\n  Max Deflection: 3.98e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.75401598099043,
      "fos_buckling": 0.3679816634464321,
      "fos_yielding": 1.0291741855253764,
      "deflection": 0.039770368460695704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_608": {
      "node_id": "node_608",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 193.17 kg\n  Factor of Safety: 0.44\n  Max Deflection: 3.18e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.1695260021375,
      "fos_buckling": 0.4437678945121189,
      "fos_yielding": 1.284355686756061,
      "deflection": 0.031826107436701376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_607",
      "improvement_over_parent": null
    },
    "node_609": {
      "node_id": "node_609",
      "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 198.43 kg\n  Factor of Safety: 0.44\n  Max Deflection: 3.02e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.4311597370365,
      "fos_buckling": 0.4434277323794903,
      "fos_yielding": 1.2833798752633623,
      "deflection": 0.03018883653347651,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.506)"
      },
      "parent_node_id": "node_608",
      "improvement_over_parent": null
    },
    "node_610": {
      "node_id": "node_610",
      "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 200.90 kg\n  Factor of Safety: 0.44\n  Max Deflection: 3.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.89810213925702,
      "fos_buckling": 0.4433215148899286,
      "fos_yielding": 1.2830751700718108,
      "deflection": 0.030066395824597112,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.215)"
      },
      "parent_node_id": "node_609",
      "improvement_over_parent": null
    },
    "node_611": {
      "node_id": "node_611",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 218.69 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.46e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.68957782766145,
      "fos_buckling": 0.44293891927363394,
      "fos_yielding": 1.882096099309834,
      "deflection": 0.024587496472382203,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_610",
      "improvement_over_parent": null
    },
    "node_612": {
      "node_id": "node_612",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 243.81 kg\n  Factor of Safety: 1.41\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": 243.8117194795083,
      "fos_buckling": 1.409359793946589,
      "fos_yielding": 8.462970474114309,
      "deflection": 0.01190935544866284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_611",
      "improvement_over_parent": null
    },
    "node_613": {
      "node_id": "node_613",
      "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0106)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 253.10 kg\n  Factor of Safety: 1.41\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": 253.099055348381,
      "fos_buckling": 1.4054048919126403,
      "fos_yielding": 8.12234339676606,
      "deflection": 0.011795880224091098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.656)"
      },
      "parent_node_id": "node_612",
      "improvement_over_parent": null
    },
    "node_614": {
      "node_id": "node_614",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 89)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 196.84 kg\n  Factor of Safety: 0.33\n  Max Deflection: 3.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.83936327812,
      "fos_buckling": 0.3297050822605891,
      "fos_yielding": 1.9416097997125767,
      "deflection": 0.03112288394811409,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_616": {
      "node_id": "node_616",
      "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 202.53 kg\n  Factor of Safety: 0.33\n  Max Deflection: 3.10e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.52626950171606,
      "fos_buckling": 0.32961396318696845,
      "fos_yielding": 1.8866186073200053,
      "deflection": 0.031038800097418655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.642)"
      },
      "parent_node_id": "node_615",
      "improvement_over_parent": null
    },
    "node_617": {
      "node_id": "node_617",
      "content": "MODIFICATION: Increase 11 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 208.08 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.84e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.07788535119215,
      "fos_buckling": 0.44330848752721436,
      "fos_yielding": 1.8835962510830813,
      "deflection": 0.02843637148513472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.458)"
      },
      "parent_node_id": "node_616",
      "improvement_over_parent": null
    },
    "node_618": {
      "node_id": "node_618",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 233.20 kg\n  Factor of Safety: 0.92\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": 233.200027003039,
      "fos_buckling": 0.9157963937781117,
      "fos_yielding": 6.8093691079585215,
      "deflection": 0.014738103220128957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_617",
      "improvement_over_parent": null
    },
    "node_619": {
      "node_id": "node_619",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n  Mass: 247.83 kg\n  Factor of Safety: 1.42\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": 247.82519421993507,
      "fos_buckling": 1.4199342007815803,
      "fos_yielding": 8.100497150138946,
      "deflection": 0.011702344266826686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005289)"
      },
      "parent_node_id": "node_618",
      "improvement_over_parent": null
    },
    "node_620": {
      "node_id": "node_620",
      "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0084)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n  Mass: 252.32 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.32149193550478,
      "fos_buckling": 1.4193166393698198,
      "fos_yielding": 8.123956102097369,
      "deflection": 0.011622190511216013,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.348)"
      },
      "parent_node_id": "node_619",
      "improvement_over_parent": null
    },
    "node_621": {
      "node_id": "node_621",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_620",
      "improvement_over_parent": null
    },
    "node_622": {
      "node_id": "node_622",
      "content": "INITIAL DESIGN (Trace 90)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n  Mass: 137.58 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": 137.57554405648554,
      "fos_buckling": 0.3125724339712191,
      "fos_yielding": 3.554969850851901,
      "deflection": 0.022477762776760467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_623": {
      "node_id": "node_623",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n\nPerformance:\n  Mass: 161.91 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.9135830738411,
      "fos_buckling": 0.35929746418157965,
      "fos_yielding": 4.160226039535633,
      "deflection": 0.01916029617329411,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_622",
      "improvement_over_parent": null
    },
    "node_624": {
      "node_id": "node_624",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n\nPerformance:\n  Mass: 207.75 kg\n  Factor of Safety: 0.44\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": 207.75138646570048,
      "fos_buckling": 0.44059902170927695,
      "fos_yielding": 5.281679222699552,
      "deflection": 0.015022951381641291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_623",
      "improvement_over_parent": null
    },
    "node_625": {
      "node_id": "node_625",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 224.54 kg\n  Factor of Safety: 1.38\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": 224.5363024213897,
      "fos_buckling": 1.3776829174833103,
      "fos_yielding": 7.138714379215393,
      "deflection": 0.012786417307083665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006024)"
      },
      "parent_node_id": "node_624",
      "improvement_over_parent": null
    },
    "node_626": {
      "node_id": "node_626",
      "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 227.57 kg\n  Factor of Safety: 1.41\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": 227.565373611089,
      "fos_buckling": 1.4110938162827924,
      "fos_yielding": 6.977473480253197,
      "deflection": 0.012708675604392561,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.274)"
      },
      "parent_node_id": "node_625",
      "improvement_over_parent": null
    },
    "node_627": {
      "node_id": "node_627",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.42 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4153089305283,
      "fos_buckling": 1.5341893263839068,
      "fos_yielding": 7.741617822649596,
      "deflection": 0.01148995321970473,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_626",
      "improvement_over_parent": null
    },
    "node_628": {
      "node_id": "node_628",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_627",
      "improvement_over_parent": null
    },
    "node_629": {
      "node_id": "node_629",
      "content": "INITIAL DESIGN (Trace 91)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0029)]\n\nPerformance:\n  Mass: 104.51 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.92e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 104.50805009905505,
      "fos_buckling": 0.45004326391868504,
      "fos_yielding": 2.5011250630799,
      "deflection": 0.02918133232641618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_630": {
      "node_id": "node_630",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 130.82 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.34e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.82379291151483,
      "fos_buckling": 0.5525263463619471,
      "fos_yielding": 3.1264734248705266,
      "deflection": 0.023362896012480632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_629",
      "improvement_over_parent": null
    },
    "node_631": {
      "node_id": "node_631",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 145.70 kg\n  Factor of Safety: 0.61\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": 145.7025945629813,
      "fos_buckling": 0.60854554724881,
      "fos_yielding": 3.4792391573274695,
      "deflection": 0.021003105178417462,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_630",
      "improvement_over_parent": null
    },
    "node_632": {
      "node_id": "node_632",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 181.48 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.48001099645427,
      "fos_buckling": 0.7375681800899899,
      "fos_yielding": 4.325098707137313,
      "deflection": 0.016912194196581406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 230.68 kg\n  Factor of Safety: 0.90\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": 230.67649726922144,
      "fos_buckling": 0.9019090610298138,
      "fos_yielding": 5.482608921806508,
      "deflection": 0.013358188311040499,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_632",
      "improvement_over_parent": null
    },
    "node_634": {
      "node_id": "node_634",
      "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 235.79 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.78702742718073,
      "fos_buckling": 0.9019090610298142,
      "fos_yielding": 5.47438190194255,
      "deflection": 0.012551335447303419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.267)"
      },
      "parent_node_id": "node_633",
      "improvement_over_parent": null
    },
    "node_635": {
      "node_id": "node_635",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4573112334378,
      "fos_buckling": 1.5345416539523749,
      "fos_yielding": 7.743607150645664,
      "deflection": 0.011488123815812913,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_634",
      "improvement_over_parent": null
    },
    "node_636": {
      "node_id": "node_636",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_635",
      "improvement_over_parent": null
    },
    "node_637": {
      "node_id": "node_637",
      "content": "INITIAL DESIGN (Trace 92)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n  Mass: 116.94 kg\n  Factor of Safety: 0.46\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": 116.94054991877503,
      "fos_buckling": 0.4648431761293106,
      "fos_yielding": 1.7855289316596021,
      "deflection": 0.026692337561478027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_638": {
      "node_id": "node_638",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n\nPerformance:\n  Mass: 124.21 kg\n  Factor of Safety: 0.74\n  Max Deflection: 2.32e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.20880701925623,
      "fos_buckling": 0.7417227136610653,
      "fos_yielding": 2.933341504521637,
      "deflection": 0.023169173577654592,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.002936)"
      },
      "parent_node_id": "node_637",
      "improvement_over_parent": null
    },
    "node_639": {
      "node_id": "node_639",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n\nPerformance:\n  Mass: 139.61 kg\n  Factor of Safety: 0.83\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": 139.61251859605835,
      "fos_buckling": 0.8286098951613394,
      "fos_yielding": 3.3018673369856226,
      "deflection": 0.020648122842233753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_638",
      "improvement_over_parent": null
    },
    "node_640": {
      "node_id": "node_640",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n\nPerformance:\n  Mass: 174.70 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.7029863591897,
      "fos_buckling": 1.0222784228584572,
      "fos_yielding": 4.145751751839108,
      "deflection": 0.01656490878623182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_639",
      "improvement_over_parent": null
    },
    "node_641": {
      "node_id": "node_641",
      "content": "MODIFICATION: Increase 8 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n\nPerformance:\n  Mass: 175.20 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.20023773832398,
      "fos_buckling": 1.0234005591469724,
      "fos_yielding": 4.150302467554017,
      "deflection": 0.01652640685689884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.479)"
      },
      "parent_node_id": "node_640",
      "improvement_over_parent": null
    },
    "node_642": {
      "node_id": "node_642",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0036)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n  Mass: 194.33 kg\n  Factor of Safety: 1.13\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": 194.33242961673255,
      "fos_buckling": 1.1263314332828696,
      "fos_yielding": 4.612412946957896,
      "deflection": 0.014930409587166724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_641",
      "improvement_over_parent": null
    },
    "node_643": {
      "node_id": "node_643",
      "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0036)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n  Mass: 194.45 kg\n  Factor of Safety: 1.13\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.45371994890058,
      "fos_buckling": 1.1299235071582816,
      "fos_yielding": 4.627122762878677,
      "deflection": 0.014926932686408188,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.344)"
      },
      "parent_node_id": "node_642",
      "improvement_over_parent": null
    },
    "node_644": {
      "node_id": "node_644",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0048)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.20 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.20146006796625,
      "fos_buckling": 1.4305106708210455,
      "fos_yielding": 6.0378272811876705,
      "deflection": 0.011581155591339884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_643",
      "improvement_over_parent": null
    },
    "node_645": {
      "node_id": "node_645",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_644",
      "improvement_over_parent": null
    },
    "node_646": {
      "node_id": "node_646",
      "content": "INITIAL DESIGN (Trace 93)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 157.05 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.19e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.04781063633428,
      "fos_buckling": 0.6895466752320359,
      "fos_yielding": 3.8379936720248944,
      "deflection": 0.021854284698849844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_647": {
      "node_id": "node_647",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 202.85 kg\n  Factor of Safety: 0.85\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": 202.84640873878575,
      "fos_buckling": 0.8476033665217978,
      "fos_yielding": 4.92994675136284,
      "deflection": 0.0170151670709653,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_646",
      "improvement_over_parent": null
    },
    "node_648": {
      "node_id": "node_648",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 220.64 kg\n  Factor of Safety: 0.92\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": 220.6378844271902,
      "fos_buckling": 0.9168940866628241,
      "fos_yielding": 6.817556255029032,
      "deflection": 0.014965796502602999,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_647",
      "improvement_over_parent": null
    },
    "node_649": {
      "node_id": "node_649",
      "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 224.78 kg\n  Factor of Safety: 0.92\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": 224.77856175811084,
      "fos_buckling": 0.9167102271254897,
      "fos_yielding": 6.816189169389556,
      "deflection": 0.014832420123359592,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.403)"
      },
      "parent_node_id": "node_648",
      "improvement_over_parent": null
    },
    "node_650": {
      "node_id": "node_650",
      "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 228.85 kg\n  Factor of Safety: 0.92\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": 228.85104745066346,
      "fos_buckling": 0.9161681618097828,
      "fos_yielding": 6.812158648484809,
      "deflection": 0.014732592857190233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.355)"
      },
      "parent_node_id": "node_649",
      "improvement_over_parent": null
    },
    "node_651": {
      "node_id": "node_651",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.14 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.1368870527607,
      "fos_buckling": 1.5233351510816358,
      "fos_yielding": 7.7999123842090246,
      "deflection": 0.01152233191795776,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_650",
      "improvement_over_parent": null
    },
    "node_652": {
      "node_id": "node_652",
      "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47996611507932,
      "fos_buckling": 1.534610978355439,
      "fos_yielding": 7.744895092399768,
      "deflection": 0.011486582776360986,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.211)"
      },
      "parent_node_id": "node_651",
      "improvement_over_parent": null
    },
    "node_653": {
      "node_id": "node_653",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_652",
      "improvement_over_parent": null
    },
    "node_654": {
      "node_id": "node_654",
      "content": "INITIAL DESIGN (Trace 94)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 162.99 kg\n  Factor of Safety: 0.20\n  Max Deflection: 5.15e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.98901734658443,
      "fos_buckling": 0.20063251322760867,
      "fos_yielding": 0.8474577543759946,
      "deflection": 51518964554995.33,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_655": {
      "node_id": "node_655",
      "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 170.84 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.30e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.83952711165938,
      "fos_buckling": 0.4259530932695709,
      "fos_yielding": 3.3898310175039783,
      "deflection": 12956442018740.557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.558)"
      },
      "parent_node_id": "node_654",
      "improvement_over_parent": null
    },
    "node_656": {
      "node_id": "node_656",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 189.69 kg\n  Factor of Safety: 0.44\n  Max Deflection: 3.21e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.68757512697158,
      "fos_buckling": 0.4437425946390831,
      "fos_yielding": 1.2841719165162695,
      "deflection": 0.032122293346530086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_655",
      "improvement_over_parent": null
    },
    "node_657": {
      "node_id": "node_657",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 208.95 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.98e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.9538159478789,
      "fos_buckling": 0.4429130727167428,
      "fos_yielding": 1.281792474138437,
      "deflection": 0.029818558147098218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_656",
      "improvement_over_parent": null
    },
    "node_658": {
      "node_id": "node_658",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 234.08 kg\n  Factor of Safety: 0.84\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": 234.07595759972574,
      "fos_buckling": 0.8441681867810245,
      "fos_yielding": 4.910974994478477,
      "deflection": 0.013259058612214401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_657",
      "improvement_over_parent": null
    },
    "node_659": {
      "node_id": "node_659",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 251.87 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.86743328813017,
      "fos_buckling": 1.437141553733703,
      "fos_yielding": 6.070385772748204,
      "deflection": 0.0115917653092737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_658",
      "improvement_over_parent": null
    },
    "node_660": {
      "node_id": "node_660",
      "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.35559528267038,
      "fos_buckling": 1.4380559892107092,
      "fos_yielding": 6.074248284478726,
      "deflection": 0.011571650698110732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.339)"
      },
      "parent_node_id": "node_659",
      "improvement_over_parent": null
    },
    "node_661": {
      "node_id": "node_661",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_660",
      "improvement_over_parent": null
    },
    "node_662": {
      "node_id": "node_662",
      "content": "INITIAL DESIGN (Trace 95)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 122.92 kg\n  Factor of Safety: 0.51\n  Max Deflection: 8.18e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.92039961130334,
      "fos_buckling": 0.5143283284379917,
      "fos_yielding": 3.8222333915308337,
      "deflection": 81759470701941.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_663": {
      "node_id": "node_663",
      "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 130.55 kg\n  Factor of Safety: 0.51\n  Max Deflection: 8.18e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.55350431170774,
      "fos_buckling": 0.5143283284379917,
      "fos_yielding": 3.8222333915308337,
      "deflection": 81759470701941.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.626)"
      },
      "parent_node_id": "node_662",
      "improvement_over_parent": null
    },
    "node_664": {
      "node_id": "node_664",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n\nPerformance:\n  Mass: 145.48 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.41e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.47615080547817,
      "fos_buckling": 0.396907661591816,
      "fos_yielding": 0.6779662035007955,
      "deflection": 24103552793388.008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005267)"
      },
      "parent_node_id": "node_663",
      "improvement_over_parent": null
    },
    "node_665": {
      "node_id": "node_665",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 183.77 kg\n  Factor of Safety: 0.48\n  Max Deflection: 3.44e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.77203260465222,
      "fos_buckling": 0.48322950666101033,
      "fos_yielding": 1.6949155087519892,
      "deflection": 34416484611730.85,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_664",
      "improvement_over_parent": null
    },
    "node_666": {
      "node_id": "node_666",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 207.06 kg\n  Factor of Safety: 0.44\n  Max Deflection: 3.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.05787220674947,
      "fos_buckling": 0.44313442019437155,
      "fos_yielding": 1.2824304854270916,
      "deflection": 0.031017531549682637,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_665",
      "improvement_over_parent": null
    },
    "node_667": {
      "node_id": "node_667",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 232.18 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.1800138585963,
      "fos_buckling": 0.8345966475275435,
      "fos_yielding": 2.3966467482114133,
      "deflection": 0.017884487502835153,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_666",
      "improvement_over_parent": null
    },
    "node_668": {
      "node_id": "node_668",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 249.97 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.97148954700074,
      "fos_buckling": 0.8024765622177265,
      "fos_yielding": 4.471300065718926,
      "deflection": 0.015743824421099707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_667",
      "improvement_over_parent": null
    },
    "node_669": {
      "node_id": "node_669",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5174817080629,
      "fos_buckling": 1.5346988023885197,
      "fos_yielding": 7.74523192032826,
      "deflection": 0.011484478637033843,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_668",
      "improvement_over_parent": null
    },
    "node_670": {
      "node_id": "node_670",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_669",
      "improvement_over_parent": null
    },
    "node_671": {
      "node_id": "node_671",
      "content": "INITIAL DESIGN (Trace 96)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 131.24 kg\n  Factor of Safety: 0.55\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": 131.24167523402264,
      "fos_buckling": 0.5548757379612586,
      "fos_yielding": 3.24879188021173,
      "deflection": 0.024222905490313848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_672": {
      "node_id": "node_672",
      "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 131.53 kg\n  Factor of Safety: 0.55\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": 131.52818954266843,
      "fos_buckling": 0.5548757379612586,
      "fos_yielding": 3.2253677730865857,
      "deflection": 0.0241412378065025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.304)"
      },
      "parent_node_id": "node_671",
      "improvement_over_parent": null
    },
    "node_673": {
      "node_id": "node_673",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n\nPerformance:\n  Mass: 140.38 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.21e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.37651365250628,
      "fos_buckling": 0.26134237577016123,
      "fos_yielding": 3.226224820882734,
      "deflection": 0.022089359455933197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003608)"
      },
      "parent_node_id": "node_672",
      "improvement_over_parent": null
    },
    "node_674": {
      "node_id": "node_674",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n  Mass: 158.63 kg\n  Factor of Safety: 0.29\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.63147812663115,
      "fos_buckling": 0.2913696317680928,
      "fos_yielding": 3.646519422691511,
      "deflection": 0.019581637604166754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_673",
      "improvement_over_parent": null
    },
    "node_675": {
      "node_id": "node_675",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n  Mass: 182.45 kg\n  Factor of Safety: 0.33\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.44938746468398,
      "fos_buckling": 0.3291810606021009,
      "fos_yielding": 4.195151969128673,
      "deflection": 0.017064226988869727,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_674",
      "improvement_over_parent": null
    },
    "node_676": {
      "node_id": "node_676",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n\nPerformance:\n  Mass: 206.01 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.0107222046712,
      "fos_buckling": 0.3650646594612291,
      "fos_yielding": 4.738163248987233,
      "deflection": 0.01514666299504474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_675",
      "improvement_over_parent": null
    },
    "node_677": {
      "node_id": "node_677",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n  Mass: 222.64 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.63712254055054,
      "fos_buckling": 1.3860164960664765,
      "fos_yielding": 6.827097765970578,
      "deflection": 0.012982406544830452,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005919)"
      },
      "parent_node_id": "node_676",
      "improvement_over_parent": null
    },
    "node_678": {
      "node_id": "node_678",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.42 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.42447791860047,
      "fos_buckling": 1.5342806063591345,
      "fos_yielding": 7.743149748596438,
      "deflection": 0.011489291852512592,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_677",
      "improvement_over_parent": null
    },
    "node_679": {
      "node_id": "node_679",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 97)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 212.62 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.6172068220776,
      "fos_buckling": 1.3353785397174271,
      "fos_yielding": 6.4709668208567575,
      "deflection": 0.013566769224019476,
      "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: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.92 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 251.92005151664517,
      "fos_buckling": 1.5330974325948343,
      "fos_yielding": 7.67108811054982,
      "deflection": 0.011501534604548851,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_680",
      "improvement_over_parent": null
    },
    "node_682": {
      "node_id": "node_682",
      "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.00 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.00033045205245,
      "fos_buckling": 1.5333003109857735,
      "fos_yielding": 7.692428367763548,
      "deflection": 0.011499302967902879,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.259)"
      },
      "parent_node_id": "node_681",
      "improvement_over_parent": null
    },
    "node_683": {
      "node_id": "node_683",
      "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.20 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.1958456779829,
      "fos_buckling": 1.5336161869251448,
      "fos_yielding": 7.726880311959888,
      "deflection": 0.011495838155305473,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.520)"
      },
      "parent_node_id": "node_682",
      "improvement_over_parent": null
    },
    "node_684": {
      "node_id": "node_684",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.30 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.29769101734337,
      "fos_buckling": 1.533722222907608,
      "fos_yielding": 7.739026486839055,
      "deflection": 0.011494679796268224,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.186)"
      },
      "parent_node_id": "node_683",
      "improvement_over_parent": null
    },
    "node_685": {
      "node_id": "node_685",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_684",
      "improvement_over_parent": null
    },
    "node_686": {
      "node_id": "node_686",
      "content": "INITIAL DESIGN (Trace 98)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n  Mass: 158.26 kg\n  Factor of Safety: 0.43\n  Max Deflection: 7.71e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.25782527401077,
      "fos_buckling": 0.4331322675800294,
      "fos_yielding": 0.47174319189559516,
      "deflection": 77073140458011.52,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_687": {
      "node_id": "node_687",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 174.53 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.88e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.53051574409608,
      "fos_buckling": 0.5286379128419557,
      "fos_yielding": 4.693720136139396,
      "deflection": 18838569522378.38,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_686",
      "improvement_over_parent": null
    },
    "node_688": {
      "node_id": "node_688",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 204.61 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.13e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.60643539973998,
      "fos_buckling": 0.5365636867094995,
      "fos_yielding": 3.556131327897929,
      "deflection": 11294215658944.578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_687",
      "improvement_over_parent": null
    },
    "node_689": {
      "node_id": "node_689",
      "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 205.03 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.13e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.02516097740914,
      "fos_buckling": 0.6898675971979279,
      "fos_yielding": 4.777604157797814,
      "deflection": 11294215658944.586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.377)"
      },
      "parent_node_id": "node_688",
      "improvement_over_parent": null
    },
    "node_690": {
      "node_id": "node_690",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 205.73 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.57e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.72948182433018,
      "fos_buckling": 0.442707593234227,
      "fos_yielding": 2.569777996250129,
      "deflection": 0.025673952374205125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_689",
      "improvement_over_parent": null
    },
    "node_691": {
      "node_id": "node_691",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 208.61 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.57e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.61390992451166,
      "fos_buckling": 0.44264564650571236,
      "fos_yielding": 2.568349394374103,
      "deflection": 0.025683894777094415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.253)"
      },
      "parent_node_id": "node_690",
      "improvement_over_parent": null
    },
    "node_692": {
      "node_id": "node_692",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 233.74 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.7360515763585,
      "fos_buckling": 0.44573025925049065,
      "fos_yielding": 5.8169895143780055,
      "deflection": 0.013542949855505363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_691",
      "improvement_over_parent": null
    },
    "node_693": {
      "node_id": "node_693",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.35157763272582,
      "fos_buckling": 1.5338062920118538,
      "fos_yielding": 7.73882497738146,
      "deflection": 0.011492296764760901,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_692",
      "improvement_over_parent": null
    },
    "node_694": {
      "node_id": "node_694",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_693",
      "improvement_over_parent": null
    },
    "node_695": {
      "node_id": "node_695",
      "content": "INITIAL DESIGN (Trace 99)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 121.01 kg\n  Factor of Safety: 0.52\n  Max Deflection: 3.17e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.00805403770401,
      "fos_buckling": 0.5229966231205778,
      "fos_yielding": 1.4649091072296718,
      "deflection": 0.03166485047316489,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_696": {
      "node_id": "node_696",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 133.85 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.87e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.85216246327894,
      "fos_buckling": 0.57141623791681,
      "fos_yielding": 1.6182718334459372,
      "deflection": 0.02865915531085629,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_695",
      "improvement_over_parent": null
    },
    "node_697": {
      "node_id": "node_697",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 170.28 kg\n  Factor of Safety: 0.70\n  Max Deflection: 2.26e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.28207088054543,
      "fos_buckling": 0.7015703610824443,
      "fos_yielding": 2.051074649911279,
      "deflection": 0.022600944209085067,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_696",
      "improvement_over_parent": null
    },
    "node_698": {
      "node_id": "node_698",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 190.69 kg\n  Factor of Safety: 0.77\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.69308741016033,
      "fos_buckling": 0.7699112130606287,
      "fos_yielding": 2.2921660229827463,
      "deflection": 0.02021839763442421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_697",
      "improvement_over_parent": null
    },
    "node_699": {
      "node_id": "node_699",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n\nPerformance:\n  Mass: 192.94 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.9449026812098,
      "fos_buckling": 0.7695795197250487,
      "fos_yielding": 2.291163445437391,
      "deflection": 0.016440911118487167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003553)"
      },
      "parent_node_id": "node_698",
      "improvement_over_parent": null
    },
    "node_700": {
      "node_id": "node_700",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n  Mass: 207.69 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.68500388671606,
      "fos_buckling": 0.766337801117651,
      "fos_yielding": 4.480521710060976,
      "deflection": 0.014801526766647484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005581)"
      },
      "parent_node_id": "node_699",
      "improvement_over_parent": null
    },
    "node_701": {
      "node_id": "node_701",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n  Mass: 223.42 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.4178268352962,
      "fos_buckling": 1.3901604947687114,
      "fos_yielding": 6.847750194008355,
      "deflection": 0.012937358492820263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005766)"
      },
      "parent_node_id": "node_700",
      "improvement_over_parent": null
    },
    "node_702": {
      "node_id": "node_702",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.70 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.695323286237,
      "fos_buckling": 1.5357459573120564,
      "fos_yielding": 7.747742690376476,
      "deflection": 0.011476597942010443,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_701",
      "improvement_over_parent": null
    },
    "node_703": {
      "node_id": "node_703",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_702",
      "improvement_over_parent": null
    },
    "node_704": {
      "node_id": "node_704",
      "content": "INITIAL DESIGN (Trace 100)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 151.14 kg\n  Factor of Safety: 0.98\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": 151.13792942605284,
      "fos_buckling": 0.9805928879044296,
      "fos_yielding": 4.455638451560131,
      "deflection": 0.01897413483535316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_705": {
      "node_id": "node_705",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 183.60 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.5954842715175,
      "fos_buckling": 1.1588148148850457,
      "fos_yielding": 5.413743716272249,
      "deflection": 0.01567791462781338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_704",
      "improvement_over_parent": null
    },
    "node_706": {
      "node_id": "node_706",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 205.26 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.25826762277202,
      "fos_buckling": 1.2716209205344728,
      "fos_yielding": 6.05344488103723,
      "deflection": 0.014058017321470512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_705",
      "improvement_over_parent": null
    },
    "node_707": {
      "node_id": "node_707",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 251.99 kg\n  Factor of Safety: 1.50\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": 251.98651260072322,
      "fos_buckling": 1.4984966678464096,
      "fos_yielding": 7.433992846756339,
      "deflection": 0.011512140448520662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_706",
      "improvement_over_parent": null
    },
    "node_708": {
      "node_id": "node_708",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.69 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.69083344764425,
      "fos_buckling": 1.5356222041606498,
      "fos_yielding": 7.751123426671842,
      "deflection": 0.011477309917937632,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_707",
      "improvement_over_parent": null
    },
    "node_709": {
      "node_id": "node_709",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_708",
      "improvement_over_parent": null
    },
    "node_710": {
      "node_id": "node_710",
      "content": "INITIAL DESIGN (Trace 101)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0026)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 141.08 kg\n  Factor of Safety: 0.95\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": 141.0756581620028,
      "fos_buckling": 0.9457553011477654,
      "fos_yielding": 4.550051880394255,
      "deflection": 0.02065243129139155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_711": {
      "node_id": "node_711",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 179.98 kg\n  Factor of Safety: 1.17\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": 179.98324136914698,
      "fos_buckling": 1.1678592047354683,
      "fos_yielding": 5.803044885893094,
      "deflection": 0.016252406118200582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_710",
      "improvement_over_parent": null
    },
    "node_712": {
      "node_id": "node_712",
      "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 183.02 kg\n  Factor of Safety: 1.19\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": 183.02286721736348,
      "fos_buckling": 1.1922549365602357,
      "fos_yielding": 5.633266595222271,
      "deflection": 0.01605822866317993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.271)"
      },
      "parent_node_id": "node_711",
      "improvement_over_parent": null
    },
    "node_713": {
      "node_id": "node_713",
      "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 189.08 kg\n  Factor of Safety: 1.02\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": 189.07656268272333,
      "fos_buckling": 1.0167355460014278,
      "fos_yielding": 5.9622945953061715,
      "deflection": 0.015099186764525142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.451)"
      },
      "parent_node_id": "node_712",
      "improvement_over_parent": null
    },
    "node_714": {
      "node_id": "node_714",
      "content": "MODIFICATION: Increase 13 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 193.95 kg\n  Factor of Safety: 1.21\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": 193.94693532135628,
      "fos_buckling": 1.2082755906819824,
      "fos_yielding": 6.270822956362558,
      "deflection": 0.014830138355865238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.529)"
      },
      "parent_node_id": "node_713",
      "improvement_over_parent": null
    },
    "node_715": {
      "node_id": "node_715",
      "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 197.36 kg\n  Factor of Safety: 1.25\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": 197.35548093739203,
      "fos_buckling": 1.2534852221405723,
      "fos_yielding": 6.0494560577284,
      "deflection": 0.014602835613120523,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.247)"
      },
      "parent_node_id": "node_714",
      "improvement_over_parent": null
    },
    "node_716": {
      "node_id": "node_716",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.54886661217768,
      "fos_buckling": 1.5349532172288118,
      "fos_yielding": 7.746174076685728,
      "deflection": 0.011483454517288383,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_715",
      "improvement_over_parent": null
    },
    "node_717": {
      "node_id": "node_717",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_716",
      "improvement_over_parent": null
    },
    "node_718": {
      "node_id": "node_718",
      "content": "INITIAL DESIGN (Trace 102)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 194.42 kg\n  Factor of Safety: 0.79\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": 194.4181670838118,
      "fos_buckling": 0.7914871732409618,
      "fos_yielding": 5.71622396985365,
      "deflection": 0.017569336804861734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_719": {
      "node_id": "node_719",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n  Mass: 205.40 kg\n  Factor of Safety: 1.14\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": 205.40244479228573,
      "fos_buckling": 1.1447191571447053,
      "fos_yielding": 6.609778846465842,
      "deflection": 0.014079362421078262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003905)"
      },
      "parent_node_id": "node_718",
      "improvement_over_parent": null
    },
    "node_720": {
      "node_id": "node_720",
      "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0101)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n  Mass: 214.82 kg\n  Factor of Safety: 1.15\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": 214.81736883360065,
      "fos_buckling": 1.1453963081652876,
      "fos_yielding": 6.426522805307142,
      "deflection": 0.013367852656520178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.504)"
      },
      "parent_node_id": "node_719",
      "improvement_over_parent": null
    },
    "node_721": {
      "node_id": "node_721",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0122)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n  Mass: 256.62 kg\n  Factor of Safety: 1.34\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": 256.6166372628681,
      "fos_buckling": 1.3423772966348697,
      "fos_yielding": 7.684826673587914,
      "deflection": 0.011240760834999475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_720",
      "improvement_over_parent": null
    },
    "node_722": {
      "node_id": "node_722",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0122)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 257.32 kg\n  Factor of Safety: 1.34\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": 257.32095810978916,
      "fos_buckling": 1.3407182344011994,
      "fos_yielding": 7.807561947731776,
      "deflection": 0.011237036502654599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_721",
      "improvement_over_parent": null
    },
    "node_723": {
      "node_id": "node_723",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_722",
      "improvement_over_parent": null
    },
    "node_724": {
      "node_id": "node_724",
      "content": "INITIAL DESIGN (Trace 103)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n  Mass: 156.22 kg\n  Factor of Safety: 0.50\n  Max Deflection: 2.30e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.22189757280415,
      "fos_buckling": 0.5044359349886909,
      "fos_yielding": 4.922090265439548,
      "deflection": 0.02298741503777633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_725": {
      "node_id": "node_725",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n  Mass: 172.35 kg\n  Factor of Safety: 0.50\n  Max Deflection: 2.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.3524665370673,
      "fos_buckling": 0.5020982224521279,
      "fos_yielding": 4.010594739347936,
      "deflection": 0.020865272484886354,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005728)"
      },
      "parent_node_id": "node_724",
      "improvement_over_parent": null
    },
    "node_726": {
      "node_id": "node_726",
      "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n  Mass: 177.75 kg\n  Factor of Safety: 0.50\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": 177.74965908871795,
      "fos_buckling": 0.5013208679868071,
      "fos_yielding": 4.5866746950755966,
      "deflection": 0.02012338748447072,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.362)"
      },
      "parent_node_id": "node_725",
      "improvement_over_parent": null
    },
    "node_727": {
      "node_id": "node_727",
      "content": "MODIFICATION: Increase 13 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0093)]\n\nPerformance:\n  Mass: 186.50 kg\n  Factor of Safety: 0.50\n  Max Deflection: 2.00e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.49830901966214,
      "fos_buckling": 0.5000659053800878,
      "fos_yielding": 4.17167036269358,
      "deflection": 0.019999623915511036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.618)"
      },
      "parent_node_id": "node_726",
      "improvement_over_parent": null
    },
    "node_728": {
      "node_id": "node_728",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0093)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n  Mass: 206.43 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.72e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.42745448473426,
      "fos_buckling": 0.4991171726169746,
      "fos_yielding": 3.9148662214666703,
      "deflection": 0.017247091096701958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006367)"
      },
      "parent_node_id": "node_727",
      "improvement_over_parent": null
    },
    "node_729": {
      "node_id": "node_729",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0093)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n\nPerformance:\n  Mass: 219.03 kg\n  Factor of Safety: 1.08\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": 219.0300849606925,
      "fos_buckling": 1.0780604511630991,
      "fos_yielding": 6.980027051892217,
      "deflection": 0.013413598924775526,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005261)"
      },
      "parent_node_id": "node_728",
      "improvement_over_parent": null
    },
    "node_730": {
      "node_id": "node_730",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0110)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 255.70 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.6978242985267,
      "fos_buckling": 1.2353399112400405,
      "fos_yielding": 8.14973791358211,
      "deflection": 0.011531712265055553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_729",
      "improvement_over_parent": null
    },
    "node_731": {
      "node_id": "node_731",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_730",
      "improvement_over_parent": null
    },
    "node_732": {
      "node_id": "node_732",
      "content": "INITIAL DESIGN (Trace 104)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 214.29 kg\n  Factor of Safety: 1.21\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": 214.29046034287623,
      "fos_buckling": 1.2128478082353815,
      "fos_yielding": 5.037915198704014,
      "deflection": 0.013936474995106371,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_733": {
      "node_id": "node_733",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 245.77 kg\n  Factor of Safety: 1.37\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": 245.76823018083263,
      "fos_buckling": 1.3719716980232315,
      "fos_yielding": 5.797754598037,
      "deflection": 0.012188125152576456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_732",
      "improvement_over_parent": null
    },
    "node_734": {
      "node_id": "node_734",
      "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.71 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.70672768736307,
      "fos_buckling": 1.4407052460646481,
      "fos_yielding": 6.088212662711867,
      "deflection": 0.011597718582765187,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.323)"
      },
      "parent_node_id": "node_733",
      "improvement_over_parent": null
    },
    "node_735": {
      "node_id": "node_735",
      "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.30 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.2992500591683,
      "fos_buckling": 1.5337625766658394,
      "fos_yielding": 7.741665468725797,
      "deflection": 0.011494658775427673,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.333)"
      },
      "parent_node_id": "node_734",
      "improvement_over_parent": null
    },
    "node_736": {
      "node_id": "node_736",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_735",
      "improvement_over_parent": null
    },
    "node_737": {
      "node_id": "node_737",
      "content": "INITIAL DESIGN (Trace 105)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0013)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n  Mass: 167.10 kg\n  Factor of Safety: 0.32\n  Max Deflection: 1.97e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.0977365121214,
      "fos_buckling": 0.31815075581764946,
      "fos_yielding": 2.8707967141749133,
      "deflection": 0.019714383190161455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_738": {
      "node_id": "node_738",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0013)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 180.91 kg\n  Factor of Safety: 0.69\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": 180.90798308717194,
      "fos_buckling": 0.6912663766906743,
      "fos_yielding": 2.7208474490710897,
      "deflection": 0.016945102851872482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004882)"
      },
      "parent_node_id": "node_737",
      "improvement_over_parent": null
    },
    "node_739": {
      "node_id": "node_739",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0015)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 200.60 kg\n  Factor of Safety: 0.76\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": 200.59667224591328,
      "fos_buckling": 0.7647039710600742,
      "fos_yielding": 3.0288061956846173,
      "deflection": 0.015306440100637472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_738",
      "improvement_over_parent": null
    },
    "node_740": {
      "node_id": "node_740",
      "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0015)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 206.53 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.5276395571085,
      "fos_buckling": 0.8144086183432744,
      "fos_yielding": 3.225674198654421,
      "deflection": 0.0143470192340399,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.410)"
      },
      "parent_node_id": "node_739",
      "improvement_over_parent": null
    },
    "node_741": {
      "node_id": "node_741",
      "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 206.92 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.91824947526464,
      "fos_buckling": 1.062357105929239,
      "fos_yielding": 4.3151107328623075,
      "deflection": 0.014115276014931503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.422)"
      },
      "parent_node_id": "node_740",
      "improvement_over_parent": null
    },
    "node_742": {
      "node_id": "node_742",
      "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 207.65 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.65339108514138,
      "fos_buckling": 1.308224846533637,
      "fos_yielding": 6.365520513559303,
      "deflection": 0.013895196746925473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.582)"
      },
      "parent_node_id": "node_741",
      "improvement_over_parent": null
    },
    "node_743": {
      "node_id": "node_743",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.28 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.2843659952599,
      "fos_buckling": 1.533645569939352,
      "fos_yielding": 7.737628015904323,
      "deflection": 0.011495312852177867,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_742",
      "improvement_over_parent": null
    },
    "node_744": {
      "node_id": "node_744",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_743",
      "improvement_over_parent": null
    },
    "node_745": {
      "node_id": "node_745",
      "content": "INITIAL DESIGN (Trace 106)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0010)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 192.97 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.96674428794606,
      "fos_buckling": 0.7227642670714532,
      "fos_yielding": 4.414177420459007,
      "deflection": 0.015059854130907099,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_746": {
      "node_id": "node_746",
      "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 193.14 kg\n  Factor of Safety: 0.91\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": 193.14479286564324,
      "fos_buckling": 0.9145325863888908,
      "fos_yielding": 5.531138180734562,
      "deflection": 0.01500408278240428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.335)"
      },
      "parent_node_id": "node_745",
      "improvement_over_parent": null
    },
    "node_747": {
      "node_id": "node_747",
      "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 193.57 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.57441906624575,
      "fos_buckling": 0.9143971959500267,
      "fos_yielding": 5.683956194017513,
      "deflection": 0.014919522428137448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.381)"
      },
      "parent_node_id": "node_746",
      "improvement_over_parent": null
    },
    "node_748": {
      "node_id": "node_748",
      "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 193.88 kg\n  Factor of Safety: 1.22\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": 193.87511961302965,
      "fos_buckling": 1.2216089258016645,
      "fos_yielding": 5.946578314425795,
      "deflection": 0.014866421754299848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.435)"
      },
      "parent_node_id": "node_747",
      "improvement_over_parent": null
    },
    "node_749": {
      "node_id": "node_749",
      "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 194.11 kg\n  Factor of Safety: 1.24\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": 194.1050923992394,
      "fos_buckling": 1.2359758285560976,
      "fos_yielding": 5.950109808233454,
      "deflection": 0.014842051481764854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.239)"
      },
      "parent_node_id": "node_748",
      "improvement_over_parent": null
    },
    "node_750": {
      "node_id": "node_750",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4652894512944,
      "fos_buckling": 1.534531742746401,
      "fos_yielding": 7.744247208438664,
      "deflection": 0.011487297489923866,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_749",
      "improvement_over_parent": null
    },
    "node_751": {
      "node_id": "node_751",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_750",
      "improvement_over_parent": null
    },
    "node_752": {
      "node_id": "node_752",
      "content": "INITIAL DESIGN (Trace 107)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 151.95 kg\n  Factor of Safety: 0.62\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": 151.9484976013587,
      "fos_buckling": 0.6190913511548755,
      "fos_yielding": 3.5430181712538897,
      "deflection": 0.019307713873949313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_753": {
      "node_id": "node_753",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 186.50 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.4981779445302,
      "fos_buckling": 0.7406778683278882,
      "fos_yielding": 4.3408317404593095,
      "deflection": 0.015787072540822296,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_752",
      "improvement_over_parent": null
    },
    "node_754": {
      "node_id": "node_754",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n  Mass: 199.68 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.68044393552245,
      "fos_buckling": 1.2659351730954305,
      "fos_yielding": 6.121506008769881,
      "deflection": 0.014436775280008245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004947)"
      },
      "parent_node_id": "node_753",
      "improvement_over_parent": null
    },
    "node_755": {
      "node_id": "node_755",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.42994656331314,
      "fos_buckling": 1.5343682285818891,
      "fos_yielding": 7.743282620747999,
      "deflection": 0.011488809117808758,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_754",
      "improvement_over_parent": null
    },
    "node_756": {
      "node_id": "node_756",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_755",
      "improvement_over_parent": null
    },
    "node_757": {
      "node_id": "node_757",
      "content": "INITIAL DESIGN (Trace 108)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n  Mass: 168.82 kg\n  Factor of Safety: 0.34\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": 168.81643997979916,
      "fos_buckling": 0.3423207984578942,
      "fos_yielding": 4.267092267723379,
      "deflection": 0.01859446214803208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_758": {
      "node_id": "node_758",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n  Mass: 204.98 kg\n  Factor of Safety: 0.40\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": 204.97970046140665,
      "fos_buckling": 0.401826071128719,
      "fos_yielding": 5.138874500012602,
      "deflection": 0.015385484511432538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_757",
      "improvement_over_parent": null
    },
    "node_759": {
      "node_id": "node_759",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 221.29 kg\n  Factor of Safety: 1.38\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": 221.28931432842708,
      "fos_buckling": 1.3791879840322945,
      "fos_yielding": 6.785754445856561,
      "deflection": 0.013059070975372839,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005839)"
      },
      "parent_node_id": "node_758",
      "improvement_over_parent": null
    },
    "node_760": {
      "node_id": "node_760",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5080747559483,
      "fos_buckling": 1.5347733455302583,
      "fos_yielding": 7.745824328936832,
      "deflection": 0.011485249140978765,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_759",
      "improvement_over_parent": null
    },
    "node_761": {
      "node_id": "node_761",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_760",
      "improvement_over_parent": null
    },
    "node_762": {
      "node_id": "node_762",
      "content": "INITIAL DESIGN (Trace 109)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 236.90 kg\n  Factor of Safety: 1.29\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": 236.90296976954937,
      "fos_buckling": 1.2914326776980225,
      "fos_yielding": 7.996833154830544,
      "deflection": 0.0123852429202162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_763": {
      "node_id": "node_763",
      "content": "MODIFICATION: Increase 11 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 241.70 kg\n  Factor of Safety: 1.29\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": 241.7029283582442,
      "fos_buckling": 1.290357581391651,
      "fos_yielding": 7.686590289385482,
      "deflection": 0.01218726627048253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.285)"
      },
      "parent_node_id": "node_762",
      "improvement_over_parent": null
    },
    "node_764": {
      "node_id": "node_764",
      "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 246.50 kg\n  Factor of Safety: 1.30\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": 246.49813851176512,
      "fos_buckling": 1.3038636874790575,
      "fos_yielding": 7.405287484616469,
      "deflection": 0.012046583700074661,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.443)"
      },
      "parent_node_id": "node_763",
      "improvement_over_parent": null
    },
    "node_765": {
      "node_id": "node_765",
      "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.95 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.94830561797016,
      "fos_buckling": 1.2848339941128037,
      "fos_yielding": 7.73473444326827,
      "deflection": 0.011527579332560274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.289)"
      },
      "parent_node_id": "node_764",
      "improvement_over_parent": null
    },
    "node_766": {
      "node_id": "node_766",
      "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49578816289795,
      "fos_buckling": 1.5346308477183024,
      "fos_yielding": 7.745074884590651,
      "deflection": 0.011485435587719684,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.550)"
      },
      "parent_node_id": "node_765",
      "improvement_over_parent": null
    },
    "node_767": {
      "node_id": "node_767",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_766",
      "improvement_over_parent": null
    },
    "node_768": {
      "node_id": "node_768",
      "content": "INITIAL DESIGN (Trace 110)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 180.04 kg\n  Factor of Safety: 0.01\n  Max Deflection: 3.06e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.03621884858094,
      "fos_buckling": 0.01362110428260901,
      "fos_yielding": 0.21186443859399862,
      "deflection": 305783541061255.9,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_769": {
      "node_id": "node_769",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n  Mass: 182.25 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.25353124325875,
      "fos_buckling": 0.39484802791626056,
      "fos_yielding": 5.963279071250125,
      "deflection": 0.01892357866359962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003494)"
      },
      "parent_node_id": "node_768",
      "improvement_over_parent": null
    },
    "node_770": {
      "node_id": "node_770",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 199.03 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.03171503251264,
      "fos_buckling": 0.3941928876417083,
      "fos_yielding": 4.678467204657584,
      "deflection": 0.015449515522120367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006132)"
      },
      "parent_node_id": "node_769",
      "improvement_over_parent": null
    },
    "node_771": {
      "node_id": "node_771",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n  Mass: 215.45 kg\n  Factor of Safety: 1.33\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": 215.44557774090117,
      "fos_buckling": 1.3326288391584489,
      "fos_yielding": 6.712261836991355,
      "deflection": 0.013297951091076168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005837)"
      },
      "parent_node_id": "node_770",
      "improvement_over_parent": null
    },
    "node_772": {
      "node_id": "node_772",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 247.46 kg\n  Factor of Safety: 1.49\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": 247.46213954444357,
      "fos_buckling": 1.4877640264253993,
      "fos_yielding": 7.711310205864309,
      "deflection": 0.011620874176397991,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_771",
      "improvement_over_parent": null
    },
    "node_773": {
      "node_id": "node_773",
      "content": "MODIFICATION: Increase 14 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 254.69 kg\n  Factor of Safety: 1.49\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.68600932394452,
      "fos_buckling": 1.487314737545372,
      "fos_yielding": 7.3917991387258875,
      "deflection": 0.01141265562531125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.431)"
      },
      "parent_node_id": "node_772",
      "improvement_over_parent": null
    },
    "node_774": {
      "node_id": "node_774",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_773",
      "improvement_over_parent": null
    },
    "node_775": {
      "node_id": "node_775",
      "content": "INITIAL DESIGN (Trace 111)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 192.00 kg\n  Factor of Safety: 0.68\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": 192.00169067090476,
      "fos_buckling": 0.6794628690980569,
      "fos_yielding": 3.8666199131453354,
      "deflection": 0.02120912094586162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_776": {
      "node_id": "node_776",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 209.79 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.7931663593092,
      "fos_buckling": 0.67887642260709,
      "fos_yielding": 3.8821946365984905,
      "deflection": 0.019441321536140928,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_775",
      "improvement_over_parent": null
    },
    "node_777": {
      "node_id": "node_777",
      "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 219.10 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.10047315108184,
      "fos_buckling": 0.6779580924947024,
      "fos_yielding": 3.8769769937359704,
      "deflection": 0.018557036254719016,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.645)"
      },
      "parent_node_id": "node_776",
      "improvement_over_parent": null
    },
    "node_778": {
      "node_id": "node_778",
      "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 225.34 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.33682671334643,
      "fos_buckling": 0.6775486772200651,
      "fos_yielding": 3.874650804440276,
      "deflection": 0.018567207031088686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.422)"
      },
      "parent_node_id": "node_777",
      "improvement_over_parent": null
    },
    "node_779": {
      "node_id": "node_779",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47535028172888,
      "fos_buckling": 1.5345341722094985,
      "fos_yielding": 7.744082652361716,
      "deflection": 0.011486786038314462,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_778",
      "improvement_over_parent": null
    },
    "node_780": {
      "node_id": "node_780",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_779",
      "improvement_over_parent": null
    },
    "node_781": {
      "node_id": "node_781",
      "content": "INITIAL DESIGN (Trace 112)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 197.91 kg\n  Factor of Safety: 0.84\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": 197.9073058655679,
      "fos_buckling": 0.8447366856469558,
      "fos_yielding": 6.1730408316952845,
      "deflection": 0.016850287814637273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_782": {
      "node_id": "node_782",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n\nPerformance:\n  Mass: 218.93 kg\n  Factor of Safety: 1.22\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": 218.9333977429467,
      "fos_buckling": 1.2158753403675548,
      "fos_yielding": 6.6833302621301724,
      "deflection": 0.013289160108623339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006748)"
      },
      "parent_node_id": "node_781",
      "improvement_over_parent": null
    },
    "node_783": {
      "node_id": "node_783",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n\nPerformance:\n  Mass: 242.72 kg\n  Factor of Safety: 1.33\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": 242.71699045119118,
      "fos_buckling": 1.3308995482490247,
      "fos_yielding": 7.409537828563055,
      "deflection": 0.012016747730375197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_782",
      "improvement_over_parent": null
    },
    "node_784": {
      "node_id": "node_784",
      "content": "MODIFICATION: Increase 12 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0094)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n\nPerformance:\n  Mass: 249.36 kg\n  Factor of Safety: 1.29\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": 249.36215992833235,
      "fos_buckling": 1.2868268963226852,
      "fos_yielding": 7.517583600363011,
      "deflection": 0.011896910833701573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.429)"
      },
      "parent_node_id": "node_783",
      "improvement_over_parent": null
    },
    "node_785": {
      "node_id": "node_785",
      "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0094)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n\nPerformance:\n  Mass: 253.32 kg\n  Factor of Safety: 1.34\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": 253.31825809300324,
      "fos_buckling": 1.3378353731372334,
      "fos_yielding": 7.402351378837351,
      "deflection": 0.011544554474031994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.205)"
      },
      "parent_node_id": "node_784",
      "improvement_over_parent": null
    },
    "node_786": {
      "node_id": "node_786",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0094)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 254.02 kg\n  Factor of Safety: 1.31\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": 254.02257893992427,
      "fos_buckling": 1.306116719393756,
      "fos_yielding": 7.4712217229538265,
      "deflection": 0.01154351217314195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_785",
      "improvement_over_parent": null
    },
    "node_787": {
      "node_id": "node_787",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_786",
      "improvement_over_parent": null
    },
    "node_788": {
      "node_id": "node_788",
      "content": "INITIAL DESIGN (Trace 113)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 131.66 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.69e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.65843113325974,
      "fos_buckling": 0.5550798610415861,
      "fos_yielding": 3.266023968506899,
      "deflection": 0.02687241850336936,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_789": {
      "node_id": "node_789",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n\nPerformance:\n  Mass: 140.53 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.42e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.53236065689532,
      "fos_buckling": 0.5969665580239328,
      "fos_yielding": 4.141905967480737,
      "deflection": 0.024200818336443178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003619)"
      },
      "parent_node_id": "node_788",
      "improvement_over_parent": null
    },
    "node_790": {
      "node_id": "node_790",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n  Mass: 156.57 kg\n  Factor of Safety: 0.66\n  Max Deflection: 2.18e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.56783458973578,
      "fos_buckling": 0.6563212669387756,
      "fos_yielding": 4.6070284583254555,
      "deflection": 0.021761996925590554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_789",
      "improvement_over_parent": null
    },
    "node_791": {
      "node_id": "node_791",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n  Mass: 182.27 kg\n  Factor of Safety: 0.75\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": 182.2658069668357,
      "fos_buckling": 0.7477672670116883,
      "fos_yielding": 5.349279069827743,
      "deflection": 0.018748517713739393,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_790",
      "improvement_over_parent": null
    },
    "node_792": {
      "node_id": "node_792",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 197.34 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.33680748236392,
      "fos_buckling": 1.2534683020167745,
      "fos_yielding": 6.048142718848958,
      "deflection": 0.014604557806606449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005462)"
      },
      "parent_node_id": "node_791",
      "improvement_over_parent": null
    },
    "node_793": {
      "node_id": "node_793",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.17 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.17421017650554,
      "fos_buckling": 1.5332410422887714,
      "fos_yielding": 7.7337176721479395,
      "deflection": 0.011500309775017713,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_792",
      "improvement_over_parent": null
    },
    "node_794": {
      "node_id": "node_794",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_793",
      "improvement_over_parent": null
    },
    "node_795": {
      "node_id": "node_795",
      "content": "INITIAL DESIGN (Trace 114)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 166.74 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.74399875017687,
      "fos_buckling": 1.0645827857096337,
      "fos_yielding": 5.763689125187045,
      "deflection": 0.017124097413033924,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_796": {
      "node_id": "node_796",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 215.46 kg\n  Factor of Safety: 1.32\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": 215.45970733078684,
      "fos_buckling": 1.3222058370407,
      "fos_yielding": 7.438373536941342,
      "deflection": 0.013326818173428045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_795",
      "improvement_over_parent": null
    },
    "node_797": {
      "node_id": "node_797",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 240.26 kg\n  Factor of Safety: 1.44\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": 240.2587655869135,
      "fos_buckling": 1.4443286429991047,
      "fos_yielding": 8.288754716421439,
      "deflection": 0.011985232523797585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_796",
      "improvement_over_parent": null
    },
    "node_798": {
      "node_id": "node_798",
      "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 246.98 kg\n  Factor of Safety: 1.47\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": 246.9809588360679,
      "fos_buckling": 1.4731961140246568,
      "fos_yielding": 7.789705721441151,
      "deflection": 0.011684550953896549,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.445)"
      },
      "parent_node_id": "node_797",
      "improvement_over_parent": null
    },
    "node_799": {
      "node_id": "node_799",
      "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4896540396371,
      "fos_buckling": 1.5346883781529375,
      "fos_yielding": 7.744074347368608,
      "deflection": 0.011486371049318532,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.610)"
      },
      "parent_node_id": "node_798",
      "improvement_over_parent": null
    },
    "node_800": {
      "node_id": "node_800",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_799",
      "improvement_over_parent": null
    },
    "node_801": {
      "node_id": "node_801",
      "content": "INITIAL DESIGN (Trace 115)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n  Mass: 182.94 kg\n  Factor of Safety: 0.68\n  Max Deflection: 2.35e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.94034301965775,
      "fos_buckling": 0.6762651479128782,
      "fos_yielding": 4.379763421224608,
      "deflection": 0.023470224923541293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_802": {
      "node_id": "node_802",
      "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n  Mass: 189.92 kg\n  Factor of Safety: 0.67\n  Max Deflection: 2.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.91713840729483,
      "fos_buckling": 0.6696661535943177,
      "fos_yielding": 4.943800786158169,
      "deflection": 0.021395458552576924,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.502)"
      },
      "parent_node_id": "node_801",
      "improvement_over_parent": null
    },
    "node_803": {
      "node_id": "node_803",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n  Mass: 226.12 kg\n  Factor of Safety: 0.77\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": 226.12313039050218,
      "fos_buckling": 0.7745313618236931,
      "fos_yielding": 5.837727119432793,
      "deflection": 0.018026951960547013,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_802",
      "improvement_over_parent": null
    },
    "node_804": {
      "node_id": "node_804",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 244.74 kg\n  Factor of Safety: 0.80\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": 244.7386564468695,
      "fos_buckling": 0.804327299969417,
      "fos_yielding": 4.170932130164562,
      "deflection": 0.01593100875661433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_803",
      "improvement_over_parent": null
    },
    "node_805": {
      "node_id": "node_805",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 247.28 kg\n  Factor of Safety: 1.49\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": 247.28464860793164,
      "fos_buckling": 1.4868471107939376,
      "fos_yielding": 7.710491043279806,
      "deflection": 0.011628226033892231,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_804",
      "improvement_over_parent": null
    },
    "node_806": {
      "node_id": "node_806",
      "content": "MODIFICATION: Increase 14 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0097)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 254.33 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.32598517420973,
      "fos_buckling": 1.5330319025147996,
      "fos_yielding": 7.682931633177415,
      "deflection": 0.011481303718260272,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.435)"
      },
      "parent_node_id": "node_805",
      "improvement_over_parent": null
    },
    "node_807": {
      "node_id": "node_807",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_806",
      "improvement_over_parent": null
    },
    "node_808": {
      "node_id": "node_808",
      "content": "INITIAL DESIGN (Trace 116)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0029)]\n\nPerformance:\n  Mass: 128.22 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.62e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.21948905198536,
      "fos_buckling": 0.5596528520393953,
      "fos_yielding": 3.8555724748507867,
      "deflection": 0.026195142242423173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_809": {
      "node_id": "node_809",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 157.11 kg\n  Factor of Safety: 0.67\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.10748326896407,
      "fos_buckling": 0.669208552283551,
      "fos_yielding": 4.709574487765879,
      "deflection": 0.02145167026760559,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_808",
      "improvement_over_parent": null
    },
    "node_810": {
      "node_id": "node_810",
      "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 159.61 kg\n  Factor of Safety: 0.67\n  Max Deflection: 2.13e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.6072637729856,
      "fos_buckling": 0.6691270151811202,
      "fos_yielding": 4.709000668055858,
      "deflection": 0.021317510816780304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.258)"
      },
      "parent_node_id": "node_809",
      "improvement_over_parent": null
    },
    "node_811": {
      "node_id": "node_811",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n  Mass: 172.84 kg\n  Factor of Safety: 1.10\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.8406512306061,
      "fos_buckling": 1.1009853840026935,
      "fos_yielding": 5.095064522993402,
      "deflection": 0.016633568829589607,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004754)"
      },
      "parent_node_id": "node_810",
      "improvement_over_parent": null
    },
    "node_812": {
      "node_id": "node_812",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n  Mass: 173.32 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.32453248627823,
      "fos_buckling": 1.1216610523434767,
      "fos_yielding": 5.31077081283825,
      "deflection": 0.01658255211459738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001425)"
      },
      "parent_node_id": "node_811",
      "improvement_over_parent": null
    },
    "node_813": {
      "node_id": "node_813",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 208.72 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.72106612524578,
      "fos_buckling": 1.3138682927631524,
      "fos_yielding": 6.39794283760921,
      "deflection": 0.013826216293415463,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_812",
      "improvement_over_parent": null
    },
    "node_814": {
      "node_id": "node_814",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.44 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.43643260028503,
      "fos_buckling": 1.5344152147278107,
      "fos_yielding": 7.741842939540146,
      "deflection": 0.011488920918914361,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_813",
      "improvement_over_parent": null
    },
    "node_815": {
      "node_id": "node_815",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_814",
      "improvement_over_parent": null
    },
    "node_816": {
      "node_id": "node_816",
      "content": "INITIAL DESIGN (Trace 117)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 173.69 kg\n  Factor of Safety: 1.11\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": 173.68660503985888,
      "fos_buckling": 1.1105715760624855,
      "fos_yielding": 5.106314740516887,
      "deflection": 0.017249945596000335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_817": {
      "node_id": "node_817",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 206.86 kg\n  Factor of Safety: 1.28\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": 206.85618174144773,
      "fos_buckling": 1.283839620977484,
      "fos_yielding": 6.078021518980293,
      "deflection": 0.014529063763531058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_816",
      "improvement_over_parent": null
    },
    "node_818": {
      "node_id": "node_818",
      "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 212.34 kg\n  Factor of Safety: 1.33\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": 212.34145791620634,
      "fos_buckling": 1.3270596187274044,
      "fos_yielding": 6.047577171341706,
      "deflection": 0.014334922427451782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.590)"
      },
      "parent_node_id": "node_817",
      "improvement_over_parent": null
    },
    "node_819": {
      "node_id": "node_819",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 243.15 kg\n  Factor of Safety: 1.48\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": 243.15403167745984,
      "fos_buckling": 1.4805968179873068,
      "fos_yielding": 6.924341138076807,
      "deflection": 0.01255240140717514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_818",
      "improvement_over_parent": null
    },
    "node_820": {
      "node_id": "node_820",
      "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5638231712853,
      "fos_buckling": 1.5349979731887757,
      "fos_yielding": 7.747747609235229,
      "deflection": 0.01148234015847236,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.616)"
      },
      "parent_node_id": "node_819",
      "improvement_over_parent": null
    },
    "node_821": {
      "node_id": "node_821",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_820",
      "improvement_over_parent": null
    },
    "node_822": {
      "node_id": "node_822",
      "content": "INITIAL DESIGN (Trace 118)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 162.17 kg\n  Factor of Safety: 0.94\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": 162.17368712204046,
      "fos_buckling": 0.9398201286701714,
      "fos_yielding": 3.7802985966723246,
      "deflection": 0.017841854757891514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_823": {
      "node_id": "node_823",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 209.74 kg\n  Factor of Safety: 1.19\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": 209.73730917734417,
      "fos_buckling": 1.19287630028556,
      "fos_yielding": 4.913318687575722,
      "deflection": 0.013867860430886135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_822",
      "improvement_over_parent": null
    },
    "node_824": {
      "node_id": "node_824",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.95 kg\n  Factor of Safety: 1.41\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": 251.95012053337632,
      "fos_buckling": 1.4086664167740357,
      "fos_yielding": 5.929811954146185,
      "deflection": 0.011597579451676861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_823",
      "improvement_over_parent": null
    },
    "node_825": {
      "node_id": "node_825",
      "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.60140960364922,
      "fos_buckling": 1.5351781361486998,
      "fos_yielding": 7.747297227261859,
      "deflection": 0.01148131843559891,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.377)"
      },
      "parent_node_id": "node_824",
      "improvement_over_parent": null
    },
    "node_826": {
      "node_id": "node_826",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_825",
      "improvement_over_parent": null
    },
    "node_827": {
      "node_id": "node_827",
      "content": "INITIAL DESIGN (Trace 119)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 220.39 kg\n  Factor of Safety: 0.66\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": 220.3903756951693,
      "fos_buckling": 0.6617263536003191,
      "fos_yielding": 5.847075393082368,
      "deflection": 0.01425666480921793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_828": {
      "node_id": "node_828",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 239.01 kg\n  Factor of Safety: 1.27\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": 239.0059017515366,
      "fos_buckling": 1.270743731314579,
      "fos_yielding": 7.95833344888904,
      "deflection": 0.012326584371457151,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_827",
      "improvement_over_parent": null
    },
    "node_829": {
      "node_id": "node_829",
      "content": "MODIFICATION: Increase 12 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 244.56 kg\n  Factor of Safety: 1.23\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": 244.56356039661586,
      "fos_buckling": 1.231666872291949,
      "fos_yielding": 7.71360536833766,
      "deflection": 0.012249387693177665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.548)"
      },
      "parent_node_id": "node_828",
      "improvement_over_parent": null
    },
    "node_830": {
      "node_id": "node_830",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49882408119737,
      "fos_buckling": 1.5345520202991343,
      "fos_yielding": 7.743287593607525,
      "deflection": 0.011485735673508418,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.506)"
      },
      "parent_node_id": "node_829",
      "improvement_over_parent": null
    },
    "node_831": {
      "node_id": "node_831",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_830",
      "improvement_over_parent": null
    },
    "node_832": {
      "node_id": "node_832",
      "content": "INITIAL DESIGN (Trace 120)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 141.54 kg\n  Factor of Safety: 0.47\n  Max Deflection: 2.89e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.54103875757792,
      "fos_buckling": 0.46672667461195305,
      "fos_yielding": 2.5127648616666156,
      "deflection": 0.0289247533194096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_833": {
      "node_id": "node_833",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 169.20 kg\n  Factor of Safety: 0.54\n  Max Deflection: 2.43e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.20497279746888,
      "fos_buckling": 0.5444623777308415,
      "fos_yielding": 2.9924262855398753,
      "deflection": 0.024272508815971428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_832",
      "improvement_over_parent": null
    },
    "node_834": {
      "node_id": "node_834",
      "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 172.83 kg\n  Factor of Safety: 0.54\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": 172.82979560401236,
      "fos_buckling": 0.544366314576581,
      "fos_yielding": 2.9919009404058903,
      "deflection": 0.024070655812436538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.473)"
      },
      "parent_node_id": "node_833",
      "improvement_over_parent": null
    },
    "node_835": {
      "node_id": "node_835",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n\nPerformance:\n  Mass: 193.65 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.6534223083044,
      "fos_buckling": 1.2337580198044527,
      "fos_yielding": 5.936175718228658,
      "deflection": 0.014875972866899014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006111)"
      },
      "parent_node_id": "node_834",
      "improvement_over_parent": null
    },
    "node_836": {
      "node_id": "node_836",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n\nPerformance:\n  Mass: 228.41 kg\n  Factor of Safety: 1.42\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": 228.4075208608086,
      "fos_buckling": 1.4156964197310158,
      "fos_yielding": 7.00429489565915,
      "deflection": 0.012662594784432943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_835",
      "improvement_over_parent": null
    },
    "node_837": {
      "node_id": "node_837",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.51619493540306,
      "fos_buckling": 1.5350211406474716,
      "fos_yielding": 7.745740233675406,
      "deflection": 0.011485100398991874,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_836",
      "improvement_over_parent": null
    },
    "node_838": {
      "node_id": "node_838",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_837",
      "improvement_over_parent": null
    },
    "node_839": {
      "node_id": "node_839",
      "content": "INITIAL DESIGN (Trace 121)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 145.53 kg\n  Factor of Safety: 0.21\n  Max Deflection: 3.84e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.5340374586333,
      "fos_buckling": 0.20958374532496138,
      "fos_yielding": 1.3763441100201295,
      "deflection": 38413381620259.125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_840": {
      "node_id": "node_840",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n  Mass: 146.08 kg\n  Factor of Safety: 0.11\n  Max Deflection: 5.32e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.07719142994583,
      "fos_buckling": 0.10835623658643341,
      "fos_yielding": 0.564971836250663,
      "deflection": 53183882208289.3,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001612)"
      },
      "parent_node_id": "node_839",
      "improvement_over_parent": null
    },
    "node_841": {
      "node_id": "node_841",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n\nPerformance:\n  Mass: 167.00 kg\n  Factor of Safety: 0.74\n  Max Deflection: 2.28e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.99937198334115,
      "fos_buckling": 0.7391367301669435,
      "fos_yielding": 3.9825092985366264,
      "deflection": 0.022835647808055182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006142)"
      },
      "parent_node_id": "node_840",
      "improvement_over_parent": null
    },
    "node_842": {
      "node_id": "node_842",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 181.85 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.28e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.85157909785414,
      "fos_buckling": 0.6945912646760014,
      "fos_yielding": 3.590179883501039,
      "deflection": 0.02282884285505472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005377)"
      },
      "parent_node_id": "node_841",
      "improvement_over_parent": null
    },
    "node_843": {
      "node_id": "node_843",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 236.10 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.76e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.09724128340895,
      "fos_buckling": 0.8638282792279287,
      "fos_yielding": 4.651495474360661,
      "deflection": 0.01763389762677565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_842",
      "improvement_over_parent": null
    },
    "node_844": {
      "node_id": "node_844",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 238.64 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.6432334444711,
      "fos_buckling": 1.453430687493879,
      "fos_yielding": 7.16155328358924,
      "deflection": 0.012531008950764555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_843",
      "improvement_over_parent": null
    },
    "node_845": {
      "node_id": "node_845",
      "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 246.98 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.97771390711478,
      "fos_buckling": 1.475114695619811,
      "fos_yielding": 7.707173022586047,
      "deflection": 0.011637521700920245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.513)"
      },
      "parent_node_id": "node_844",
      "improvement_over_parent": null
    },
    "node_846": {
      "node_id": "node_846",
      "content": "MODIFICATION: Increase 14 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0106)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 255.14 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.1384586582916,
      "fos_buckling": 1.474581500436513,
      "fos_yielding": 7.357957818945696,
      "deflection": 0.011409165691123888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.490)"
      },
      "parent_node_id": "node_845",
      "improvement_over_parent": null
    },
    "node_847": {
      "node_id": "node_847",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_846",
      "improvement_over_parent": null
    },
    "node_848": {
      "node_id": "node_848",
      "content": "INITIAL DESIGN (Trace 122)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0024)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 114.04 kg\n  Factor of Safety: 0.51\n  Max Deflection: 2.89e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.04259343232876,
      "fos_buckling": 0.5115518273934632,
      "fos_yielding": 3.493015867210452,
      "deflection": 0.028921711117082576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_849": {
      "node_id": "node_849",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0024)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n\nPerformance:\n  Mass: 125.85 kg\n  Factor of Safety: 0.82\n  Max Deflection: 2.26e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.84542312054539,
      "fos_buckling": 0.8188288413927614,
      "fos_yielding": 3.8095735330272347,
      "deflection": 0.022593385183695684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003653)"
      },
      "parent_node_id": "node_848",
      "improvement_over_parent": null
    },
    "node_850": {
      "node_id": "node_850",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n\nPerformance:\n  Mass: 149.29 kg\n  Factor of Safety: 0.95\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": 149.28519598643277,
      "fos_buckling": 0.9524453070497247,
      "fos_yielding": 4.519338501753072,
      "deflection": 0.019098351182915307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_849",
      "improvement_over_parent": null
    },
    "node_851": {
      "node_id": "node_851",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n  Mass: 149.71 kg\n  Factor of Safety: 1.00\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": 149.70882403216356,
      "fos_buckling": 0.9989845127538295,
      "fos_yielding": 4.665584457508202,
      "deflection": 0.019065724434497326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001238)"
      },
      "parent_node_id": "node_850",
      "improvement_over_parent": null
    },
    "node_852": {
      "node_id": "node_852",
      "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n  Mass: 151.79 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.78761085836047,
      "fos_buckling": 0.9987305518906098,
      "fos_yielding": 4.65098228986236,
      "deflection": 0.018887618982017827,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.305)"
      },
      "parent_node_id": "node_851",
      "improvement_over_parent": null
    },
    "node_853": {
      "node_id": "node_853",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n  Mass: 197.25 kg\n  Factor of Safety: 1.25\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": 197.24816652037626,
      "fos_buckling": 1.252959449927068,
      "fos_yielding": 6.047087247200006,
      "deflection": 0.014610450227032052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_852",
      "improvement_over_parent": null
    },
    "node_854": {
      "node_id": "node_854",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.41 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4148967382574,
      "fos_buckling": 1.5343564965737724,
      "fos_yielding": 7.743213909061245,
      "deflection": 0.011489260466329665,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_853",
      "improvement_over_parent": null
    },
    "node_855": {
      "node_id": "node_855",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_854",
      "improvement_over_parent": null
    },
    "node_856": {
      "node_id": "node_856",
      "content": "INITIAL DESIGN (Trace 123)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 156.56 kg\n  Factor of Safety: 0.65\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": 156.56181081717932,
      "fos_buckling": 0.6523034275929149,
      "fos_yielding": 3.9224498781771686,
      "deflection": 0.02235130347219822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_857": {
      "node_id": "node_857",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 175.35 kg\n  Factor of Safety: 0.72\n  Max Deflection: 2.00e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.34727872716127,
      "fos_buckling": 0.7169225470766731,
      "fos_yielding": 4.377076564354646,
      "deflection": 0.020005714189871966,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_856",
      "improvement_over_parent": null
    },
    "node_858": {
      "node_id": "node_858",
      "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 177.82 kg\n  Factor of Safety: 0.72\n  Max Deflection: 2.00e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.82322791644754,
      "fos_buckling": 0.7165829722731331,
      "fos_yielding": 4.372432705166266,
      "deflection": 0.020009887685155044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.222)"
      },
      "parent_node_id": "node_857",
      "improvement_over_parent": null
    },
    "node_859": {
      "node_id": "node_859",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 218.63 kg\n  Factor of Safety: 0.85\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": 218.63091823769736,
      "fos_buckling": 0.8455965402849577,
      "fos_yielding": 5.334174715913489,
      "deflection": 0.016357450754151424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_858",
      "improvement_over_parent": null
    },
    "node_860": {
      "node_id": "node_860",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 237.90 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.89715905860467,
      "fos_buckling": 0.844053343446801,
      "fos_yielding": 5.005549801150405,
      "deflection": 0.013140037185414396,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_859",
      "improvement_over_parent": null
    },
    "node_861": {
      "node_id": "node_861",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.62166666726225,
      "fos_buckling": 1.5352817245260366,
      "fos_yielding": 7.750759673996716,
      "deflection": 0.011479858416456672,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_860",
      "improvement_over_parent": null
    },
    "node_862": {
      "node_id": "node_862",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_861",
      "improvement_over_parent": null
    },
    "node_863": {
      "node_id": "node_863",
      "content": "INITIAL DESIGN (Trace 124)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 165.08 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.07682404782565,
      "fos_buckling": 0.7034230608872801,
      "fos_yielding": 3.9868785652261356,
      "deflection": 0.017961299964412588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_864": {
      "node_id": "node_864",
      "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 170.11 kg\n  Factor of Safety: 0.70\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": 170.11408471560537,
      "fos_buckling": 0.7034230608872807,
      "fos_yielding": 3.991714564779816,
      "deflection": 0.017539896465999804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.393)"
      },
      "parent_node_id": "node_863",
      "improvement_over_parent": null
    },
    "node_865": {
      "node_id": "node_865",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 170.35 kg\n  Factor of Safety: 0.70\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": 170.34819209476942,
      "fos_buckling": 0.7034230608872805,
      "fos_yielding": 3.9917145647798202,
      "deflection": 0.01748507662943555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.185)"
      },
      "parent_node_id": "node_864",
      "improvement_over_parent": null
    },
    "node_866": {
      "node_id": "node_866",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n\nPerformance:\n  Mass: 182.76 kg\n  Factor of Safety: 1.03\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": 182.76036163443402,
      "fos_buckling": 1.0282160747048263,
      "fos_yielding": 5.373608110392249,
      "deflection": 0.016063423308020245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004638)"
      },
      "parent_node_id": "node_865",
      "improvement_over_parent": null
    },
    "node_867": {
      "node_id": "node_867",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n\nPerformance:\n  Mass: 203.14 kg\n  Factor of Safety: 1.13\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": 203.14347744279812,
      "fos_buckling": 1.1283870498276476,
      "fos_yielding": 5.975213078727752,
      "deflection": 0.014482631347289606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_866",
      "improvement_over_parent": null
    },
    "node_868": {
      "node_id": "node_868",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 245.60 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.59673906386152,
      "fos_buckling": 1.3281508560382889,
      "fos_yielding": 7.230002958188635,
      "deflection": 0.012032335111316447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_867",
      "improvement_over_parent": null
    },
    "node_869": {
      "node_id": "node_869",
      "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 246.10 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.20e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 246.09858524591198,
      "fos_buckling": 1.5108921416671939,
      "fos_yielding": 7.238001518169865,
      "deflection": 0.011995116962057052,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.484)"
      },
      "parent_node_id": "node_868",
      "improvement_over_parent": null
    },
    "node_870": {
      "node_id": "node_870",
      "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5391563348015,
      "fos_buckling": 1.5346705111833476,
      "fos_yielding": 7.745201930052981,
      "deflection": 0.011483347542427384,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.441)"
      },
      "parent_node_id": "node_869",
      "improvement_over_parent": null
    },
    "node_871": {
      "node_id": "node_871",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_870",
      "improvement_over_parent": null
    },
    "node_872": {
      "node_id": "node_872",
      "content": "INITIAL DESIGN (Trace 125)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 190.14 kg\n  Factor of Safety: 1.26\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": 190.1397939515869,
      "fos_buckling": 1.255668616261277,
      "fos_yielding": 5.981636809215895,
      "deflection": 0.015269474550584347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_873": {
      "node_id": "node_873",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 243.84 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.20e-02 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 243.83512993797098,
      "fos_buckling": 1.5396825237161162,
      "fos_yielding": 7.669825402040656,
      "deflection": 0.011976374386733333,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_872",
      "improvement_over_parent": null
    },
    "node_874": {
      "node_id": "node_874",
      "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 248.08 kg\n  Factor of Safety: 1.58\n  Max Deflection: 1.18e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 248.0801202767072,
      "fos_buckling": 1.5777876836925357,
      "fos_yielding": 7.412231601204003,
      "deflection": 0.011782036755981707,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.245)"
      },
      "parent_node_id": "node_873",
      "improvement_over_parent": null
    },
    "node_875": {
      "node_id": "node_875",
      "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 248.34 kg\n  Factor of Safety: 1.57\n  Max Deflection: 1.18e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 248.3443222229863,
      "fos_buckling": 1.5737925691655321,
      "fos_yielding": 7.449226172823268,
      "deflection": 0.011778035521983175,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.658)"
      },
      "parent_node_id": "node_874",
      "improvement_over_parent": null
    },
    "node_876": {
      "node_id": "node_876",
      "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.34 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.34238604958568,
      "fos_buckling": 1.533830151462993,
      "fos_yielding": 7.740935167131693,
      "deflection": 0.011492630071600205,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.238)"
      },
      "parent_node_id": "node_875",
      "improvement_over_parent": null
    },
    "node_877": {
      "node_id": "node_877",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_876",
      "improvement_over_parent": null
    },
    "node_878": {
      "node_id": "node_878",
      "content": "INITIAL DESIGN (Trace 126)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0023)]\n\nPerformance:\n  Mass: 121.46 kg\n  Factor of Safety: 0.75\n  Max Deflection: 2.35e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.45627915755212,
      "fos_buckling": 0.7505234431723847,
      "fos_yielding": 2.9763301721778563,
      "deflection": 0.023485952437566734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_879": {
      "node_id": "node_879",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n  Mass: 153.61 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.60554195407335,
      "fos_buckling": 0.9353378587015728,
      "fos_yielding": 3.7728743327261394,
      "deflection": 0.018638992076259665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_878",
      "improvement_over_parent": null
    },
    "node_880": {
      "node_id": "node_880",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n\nPerformance:\n  Mass: 154.04 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.04440610287898,
      "fos_buckling": 0.8942609821712209,
      "fos_yielding": 3.903285714437387,
      "deflection": 0.01860371718244447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001285)"
      },
      "parent_node_id": "node_879",
      "improvement_over_parent": null
    },
    "node_881": {
      "node_id": "node_881",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 199.40 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.40135629326122,
      "fos_buckling": 1.124514798768514,
      "fos_yielding": 5.071121774867388,
      "deflection": 0.014446463332317241,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_880",
      "improvement_over_parent": null
    },
    "node_882": {
      "node_id": "node_882",
      "content": "MODIFICATION: Increase 15 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0023)]\n\nPerformance:\n  Mass: 199.59 kg\n  Factor of Safety: 1.12\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": 199.5856792400767,
      "fos_buckling": 1.1202356909488531,
      "fos_yielding": 5.081149259591094,
      "deflection": 0.014445241462843606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.359)"
      },
      "parent_node_id": "node_881",
      "improvement_over_parent": null
    },
    "node_883": {
      "node_id": "node_883",
      "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0023)]\n\nPerformance:\n  Mass: 200.01 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.01244638919897,
      "fos_buckling": 1.117945840894244,
      "fos_yielding": 6.276864062883104,
      "deflection": 0.014335389266317493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.282)"
      },
      "parent_node_id": "node_882",
      "improvement_over_parent": null
    },
    "node_884": {
      "node_id": "node_884",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0029)]\n\nPerformance:\n  Mass: 247.99 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.9914127044005,
      "fos_buckling": 1.3438876188051314,
      "fos_yielding": 7.784237101148759,
      "deflection": 0.011626597401331632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_883",
      "improvement_over_parent": null
    },
    "node_885": {
      "node_id": "node_885",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_884",
      "improvement_over_parent": null
    },
    "node_886": {
      "node_id": "node_886",
      "content": "INITIAL DESIGN (Trace 127)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 171.76 kg\n  Factor of Safety: 0.34\n  Max Deflection: 4.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.76062711266312,
      "fos_buckling": 0.34303185375770845,
      "fos_yielding": 2.9080384353643463,
      "deflection": 0.04045005057288719,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_887": {
      "node_id": "node_887",
      "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 174.96 kg\n  Factor of Safety: 0.34\n  Max Deflection: 4.01e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.96185546282817,
      "fos_buckling": 0.3429230588955479,
      "fos_yielding": 2.9080384353643423,
      "deflection": 0.04014527867708663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.218)"
      },
      "parent_node_id": "node_886",
      "improvement_over_parent": null
    },
    "node_888": {
      "node_id": "node_888",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n  Mass: 177.04 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.040772540751,
      "fos_buckling": 0.3427818564330323,
      "fos_yielding": 4.409886805746809,
      "deflection": 0.018295456177003504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003259)"
      },
      "parent_node_id": "node_887",
      "improvement_over_parent": null
    },
    "node_889": {
      "node_id": "node_889",
      "content": "MODIFICATION: Increase 12 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0081)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n  Mass: 183.97 kg\n  Factor of Safety: 0.32\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": 183.9703480223585,
      "fos_buckling": 0.3178753184671283,
      "fos_yielding": 4.410835248119413,
      "deflection": 0.018179735038022404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.536)"
      },
      "parent_node_id": "node_888",
      "improvement_over_parent": null
    },
    "node_890": {
      "node_id": "node_890",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0081)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n  Mass: 199.36 kg\n  Factor of Safety: 1.03\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": 199.35864322084393,
      "fos_buckling": 1.0282493798822043,
      "fos_yielding": 6.697834413880122,
      "deflection": 0.014907549148822887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005444)"
      },
      "parent_node_id": "node_889",
      "improvement_over_parent": null
    },
    "node_891": {
      "node_id": "node_891",
      "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0081)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n  Mass: 203.57 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.57197104287923,
      "fos_buckling": 1.1165000351294783,
      "fos_yielding": 7.0821133799550156,
      "deflection": 0.014370733022984491,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.321)"
      },
      "parent_node_id": "node_890",
      "improvement_over_parent": null
    },
    "node_892": {
      "node_id": "node_892",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0101)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 249.24 kg\n  Factor of Safety: 1.34\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": 249.2361364745734,
      "fos_buckling": 1.337610211842556,
      "fos_yielding": 8.664336118840003,
      "deflection": 0.01178632905024621,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_891",
      "improvement_over_parent": null
    },
    "node_893": {
      "node_id": "node_893",
      "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0101)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 255.25 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.24749888677428,
      "fos_buckling": 1.433678965737123,
      "fos_yielding": 8.10788208356865,
      "deflection": 0.01148539091530656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.497)"
      },
      "parent_node_id": "node_892",
      "improvement_over_parent": null
    },
    "node_894": {
      "node_id": "node_894",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_893",
      "improvement_over_parent": null
    },
    "node_895": {
      "node_id": "node_895",
      "content": "INITIAL DESIGN (Trace 128)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 188.49 kg\n  Factor of Safety: 0.40\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": 188.49064432611306,
      "fos_buckling": 0.397637164611513,
      "fos_yielding": 4.576658349903043,
      "deflection": 0.01606739577087457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_896": {
      "node_id": "node_896",
      "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 193.20 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.19727385997328,
      "fos_buckling": 0.3984498746458808,
      "fos_yielding": 4.578599892146575,
      "deflection": 0.015811281719047162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.289)"
      },
      "parent_node_id": "node_895",
      "improvement_over_parent": null
    },
    "node_897": {
      "node_id": "node_897",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 226.70 kg\n  Factor of Safety: 0.45\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": 226.7042133733633,
      "fos_buckling": 0.4545019387837413,
      "fos_yielding": 5.37253039815734,
      "deflection": 0.013521777847265779,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_896",
      "improvement_over_parent": null
    },
    "node_898": {
      "node_id": "node_898",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 245.55 kg\n  Factor of Safety: 1.42\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": 245.5522613886755,
      "fos_buckling": 1.4187533153288994,
      "fos_yielding": 7.700090785873342,
      "deflection": 0.011660531693482665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_897",
      "improvement_over_parent": null
    },
    "node_899": {
      "node_id": "node_899",
      "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 249.36 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 249.36252788643816,
      "fos_buckling": 1.5343089751760732,
      "fos_yielding": 7.725371169759665,
      "deflection": 0.011562043908144607,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.383)"
      },
      "parent_node_id": "node_898",
      "improvement_over_parent": null
    },
    "node_900": {
      "node_id": "node_900",
      "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0083)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 253.16 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.1644391218831,
      "fos_buckling": 1.5338725639626858,
      "fos_yielding": 7.708394719518906,
      "deflection": 0.011478418903302291,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.230)"
      },
      "parent_node_id": "node_899",
      "improvement_over_parent": null
    },
    "node_901": {
      "node_id": "node_901",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_900",
      "improvement_over_parent": null
    },
    "node_902": {
      "node_id": "node_902",
      "content": "INITIAL DESIGN (Trace 129)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 178.02 kg\n  Factor of Safety: 0.62\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": 178.01807562760922,
      "fos_buckling": 0.6238780385291036,
      "fos_yielding": 3.3374835226747965,
      "deflection": 0.021281065931435278,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_903": {
      "node_id": "node_903",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 218.26 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.25839976788137,
      "fos_buckling": 0.7428327303318306,
      "fos_yielding": 4.089084657192674,
      "deflection": 0.017420842846394117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_902",
      "improvement_over_parent": null
    },
    "node_904": {
      "node_id": "node_904",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 241.95 kg\n  Factor of Safety: 0.81\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": 241.94797628914642,
      "fos_buckling": 0.8090575626281784,
      "fos_yielding": 4.530974345450974,
      "deflection": 0.015748971726491038,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_903",
      "improvement_over_parent": null
    },
    "node_905": {
      "node_id": "node_905",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 244.49 kg\n  Factor of Safety: 1.42\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": 244.49396845020857,
      "fos_buckling": 1.4207023718867955,
      "fos_yielding": 8.384924473868189,
      "deflection": 0.011865735444270891,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_904",
      "improvement_over_parent": null
    },
    "node_906": {
      "node_id": "node_906",
      "content": "MODIFICATION: Increase 11 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0101)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.84 kg\n  Factor of Safety: 1.42\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": 252.84343670311773,
      "fos_buckling": 1.4170171643146694,
      "fos_yielding": 8.0745922893009,
      "deflection": 0.011760505510607915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.585)"
      },
      "parent_node_id": "node_905",
      "improvement_over_parent": null
    },
    "node_907": {
      "node_id": "node_907",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_906",
      "improvement_over_parent": null
    },
    "node_908": {
      "node_id": "node_908",
      "content": "INITIAL DESIGN (Trace 130)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0032)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 132.22 kg\n  Factor of Safety: 0.45\n  Max Deflection: 3.36e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.22094898756777,
      "fos_buckling": 0.45098320762486743,
      "fos_yielding": 2.419584215677041,
      "deflection": 0.03358131530483901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_909": {
      "node_id": "node_909",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 169.80 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.62e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.79748616227695,
      "fos_buckling": 0.5595806794582814,
      "fos_yielding": 3.090403537642739,
      "deflection": 0.0262236542113695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_908",
      "improvement_over_parent": null
    },
    "node_910": {
      "node_id": "node_910",
      "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 174.95 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.37e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.94614635202095,
      "fos_buckling": 0.5593002276710639,
      "fos_yielding": 3.0865512876095127,
      "deflection": 0.023739181871305633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.416)"
      },
      "parent_node_id": "node_909",
      "improvement_over_parent": null
    },
    "node_911": {
      "node_id": "node_911",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 196.41 kg\n  Factor of Safety: 1.16\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": 196.41067810923772,
      "fos_buckling": 1.1567465419578253,
      "fos_yielding": 6.288068102163593,
      "deflection": 0.014852615395136973,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006313)"
      },
      "parent_node_id": "node_910",
      "improvement_over_parent": null
    },
    "node_912": {
      "node_id": "node_912",
      "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 199.61 kg\n  Factor of Safety: 1.27\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": 199.60994377079862,
      "fos_buckling": 1.2658193360668561,
      "fos_yielding": 6.10273333019702,
      "deflection": 0.014434493577703754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.206)"
      },
      "parent_node_id": "node_911",
      "improvement_over_parent": null
    },
    "node_913": {
      "node_id": "node_913",
      "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 199.78 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.7762359874446,
      "fos_buckling": 1.2660363377684194,
      "fos_yielding": 6.1254348449005835,
      "deflection": 0.014430866186476926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.456)"
      },
      "parent_node_id": "node_912",
      "improvement_over_parent": null
    },
    "node_914": {
      "node_id": "node_914",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.54819241476852,
      "fos_buckling": 1.534482985043648,
      "fos_yielding": 7.748144897164965,
      "deflection": 0.011484248550160399,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_913",
      "improvement_over_parent": null
    },
    "node_915": {
      "node_id": "node_915",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_914",
      "improvement_over_parent": null
    },
    "node_916": {
      "node_id": "node_916",
      "content": "INITIAL DESIGN (Trace 131)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 113.70 kg\n  Factor of Safety: 0.12\n  Max Deflection: 7.66e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.69998566421174,
      "fos_buckling": 0.121416378932645,
      "fos_yielding": 0.8474577543759945,
      "deflection": 76637763231176.75,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_917": {
      "node_id": "node_917",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n\nPerformance:\n  Mass: 115.12 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.36e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.12234023074907,
      "fos_buckling": 0.4598528122873872,
      "fos_yielding": 3.3898310175039783,
      "deflection": 13599712751960.51,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002178)"
      },
      "parent_node_id": "node_916",
      "improvement_over_parent": null
    },
    "node_918": {
      "node_id": "node_918",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n  Mass: 125.89 kg\n  Factor of Safety: 0.41\n  Max Deflection: 3.29e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.88675990635849,
      "fos_buckling": 0.4128227207884748,
      "fos_yielding": 2.19266741081232,
      "deflection": 0.032875284542488954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003823)"
      },
      "parent_node_id": "node_917",
      "improvement_over_parent": null
    },
    "node_919": {
      "node_id": "node_919",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n  Mass: 156.81 kg\n  Factor of Safety: 0.50\n  Max Deflection: 2.65e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.80582935023295,
      "fos_buckling": 0.5008538816098569,
      "fos_yielding": 2.7202506705373333,
      "deflection": 0.026482668620403802,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_918",
      "improvement_over_parent": null
    },
    "node_920": {
      "node_id": "node_920",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 176.69 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.36e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.68529830099814,
      "fos_buckling": 0.5547202065458327,
      "fos_yielding": 3.057230975378949,
      "deflection": 0.023554226839777093,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_919",
      "improvement_over_parent": null
    },
    "node_921": {
      "node_id": "node_921",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 225.29 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.2945949538516,
      "fos_buckling": 0.6775129452516165,
      "fos_yielding": 3.8739570293030194,
      "deflection": 0.01857040459345029,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_920",
      "improvement_over_parent": null
    },
    "node_922": {
      "node_id": "node_922",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.43311852223405,
      "fos_buckling": 1.5344773772594988,
      "fos_yielding": 7.742670812633919,
      "deflection": 0.011488696278812074,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_921",
      "improvement_over_parent": null
    },
    "node_923": {
      "node_id": "node_923",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_922",
      "improvement_over_parent": null
    },
    "node_924": {
      "node_id": "node_924",
      "content": "INITIAL DESIGN (Trace 132)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 197.95 kg\n  Factor of Safety: 0.35\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": 197.95243927945984,
      "fos_buckling": 0.3460776603628675,
      "fos_yielding": 5.141115600839848,
      "deflection": 0.016904506895729844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_925": {
      "node_id": "node_925",
      "content": "MODIFICATION: Increase 12 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 202.52 kg\n  Factor of Safety: 0.31\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": 202.5187865580571,
      "fos_buckling": 0.30933928789844184,
      "fos_yielding": 4.5953530698857135,
      "deflection": 0.01717623462127206,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.479)"
      },
      "parent_node_id": "node_924",
      "improvement_over_parent": null
    },
    "node_926": {
      "node_id": "node_926",
      "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 204.96 kg\n  Factor of Safety: 0.31\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.96134117812232,
      "fos_buckling": 0.3089022369906807,
      "fos_yielding": 4.588860512007531,
      "deflection": 0.01641412686322517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.247)"
      },
      "parent_node_id": "node_925",
      "improvement_over_parent": null
    },
    "node_927": {
      "node_id": "node_927",
      "content": "MODIFICATION: Increase 14 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n  Mass: 208.61 kg\n  Factor of Safety: 0.31\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": 208.61186590074732,
      "fos_buckling": 0.3090287084239566,
      "fos_yielding": 4.590739293371209,
      "deflection": 0.015288362490088796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.323)"
      },
      "parent_node_id": "node_926",
      "improvement_over_parent": null
    },
    "node_928": {
      "node_id": "node_928",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 233.30 kg\n  Factor of Safety: 0.34\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": 233.2965738049834,
      "fos_buckling": 0.34072392167028487,
      "fos_yielding": 5.125408363244552,
      "deflection": 0.013724849032381577,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_927",
      "improvement_over_parent": null
    },
    "node_929": {
      "node_id": "node_929",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.91 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 251.91209986135073,
      "fos_buckling": 1.522439312273343,
      "fos_yielding": 7.772311988205263,
      "deflection": 0.011526753390437067,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_928",
      "improvement_over_parent": null
    },
    "node_930": {
      "node_id": "node_930",
      "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.27 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.2740412901769,
      "fos_buckling": 1.5344445043240948,
      "fos_yielding": 7.714025221163683,
      "deflection": 0.011488674388164127,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.225)"
      },
      "parent_node_id": "node_929",
      "improvement_over_parent": null
    },
    "node_931": {
      "node_id": "node_931",
      "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.50132040401348,
      "fos_buckling": 1.5347295588638277,
      "fos_yielding": 7.74595181475516,
      "deflection": 0.01148555774869667,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.522)"
      },
      "parent_node_id": "node_930",
      "improvement_over_parent": null
    },
    "node_932": {
      "node_id": "node_932",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_931",
      "improvement_over_parent": null
    },
    "node_933": {
      "node_id": "node_933",
      "content": "INITIAL DESIGN (Trace 133)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0010)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n  Mass: 187.31 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.51e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.30708741805572,
      "fos_buckling": 0.8668879514150896,
      "fos_yielding": 4.049546581115857,
      "deflection": 15092006129688.64,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_934": {
      "node_id": "node_934",
      "content": "MODIFICATION: Increase 6 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n  Mass: 187.62 kg\n  Factor of Safety: 1.57\n  Max Deflection: 1.52e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 187.6216068374028,
      "fos_buckling": 1.5675007621039618,
      "fos_yielding": 3.389831017503978,
      "deflection": 15239813524430.336,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.524)"
      },
      "parent_node_id": "node_933",
      "improvement_over_parent": null
    },
    "node_935": {
      "node_id": "node_935",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 208.51 kg\n  Factor of Safety: 1.19\n  Max Deflection: 6.46e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.51159002777905,
      "fos_buckling": 1.1884228054771895,
      "fos_yielding": 5.734308628325356,
      "deflection": 6456854537675.828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_934",
      "improvement_over_parent": null
    },
    "node_936": {
      "node_id": "node_936",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 227.13 kg\n  Factor of Safety: 0.85\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": 227.12711608414637,
      "fos_buckling": 0.8456450594636934,
      "fos_yielding": 4.975905277764818,
      "deflection": 0.013905281615847335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_935",
      "improvement_over_parent": null
    },
    "node_937": {
      "node_id": "node_937",
      "content": "MODIFICATION: Increase 6 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.6002095470819,
      "fos_buckling": 0.8456450594636926,
      "fos_yielding": 5.787195354823431,
      "deflection": 0.013797089433106268,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.481)"
      },
      "parent_node_id": "node_936",
      "improvement_over_parent": null
    },
    "node_938": {
      "node_id": "node_938",
      "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 228.21 kg\n  Factor of Safety: 0.85\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": 228.20837038033685,
      "fos_buckling": 0.8456450594636926,
      "fos_yielding": 5.778618758660956,
      "deflection": 0.013724687496253777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.439)"
      },
      "parent_node_id": "node_937",
      "improvement_over_parent": null
    },
    "node_939": {
      "node_id": "node_939",
      "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 234.56 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.56384152944048,
      "fos_buckling": 0.8441168138886455,
      "fos_yielding": 5.042909437157905,
      "deflection": 0.013149476416409237,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.353)"
      },
      "parent_node_id": "node_938",
      "improvement_over_parent": null
    },
    "node_940": {
      "node_id": "node_940",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3553172178449,
      "fos_buckling": 1.5339728036437779,
      "fos_yielding": 7.739936048539824,
      "deflection": 0.011492990341134992,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_939",
      "improvement_over_parent": null
    },
    "node_941": {
      "node_id": "node_941",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_940",
      "improvement_over_parent": null
    },
    "node_942": {
      "node_id": "node_942",
      "content": "INITIAL DESIGN (Trace 134)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 179.78 kg\n  Factor of Safety: 0.54\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": 179.7808863785236,
      "fos_buckling": 0.5447569746609697,
      "fos_yielding": 2.1630803490592707,
      "deflection": 0.018275363203685124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_943": {
      "node_id": "node_943",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n\nPerformance:\n  Mass: 189.22 kg\n  Factor of Safety: 0.55\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": 189.2160261329021,
      "fos_buckling": 0.545264863383462,
      "fos_yielding": 4.312781071652674,
      "deflection": 0.01598051961202993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003861)"
      },
      "parent_node_id": "node_942",
      "improvement_over_parent": null
    },
    "node_944": {
      "node_id": "node_944",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n  Mass: 226.21 kg\n  Factor of Safety: 0.64\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": 226.20659947094904,
      "fos_buckling": 0.6426000502017696,
      "fos_yielding": 5.1475257715914635,
      "deflection": 0.01340733169437402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_943",
      "improvement_over_parent": null
    },
    "node_945": {
      "node_id": "node_945",
      "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0049)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n  Mass: 226.82 kg\n  Factor of Safety: 0.64\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": 226.82401202170215,
      "fos_buckling": 0.6426000502017698,
      "fos_yielding": 5.147525771591471,
      "deflection": 0.013362512744087845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.330)"
      },
      "parent_node_id": "node_944",
      "improvement_over_parent": null
    },
    "node_946": {
      "node_id": "node_946",
      "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0049)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0101)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n  Mass: 234.96 kg\n  Factor of Safety: 0.64\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": 234.95525086290158,
      "fos_buckling": 0.6431165103533285,
      "fos_yielding": 5.5336912394254085,
      "deflection": 0.013229441480664196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.531)"
      },
      "parent_node_id": "node_945",
      "improvement_over_parent": null
    },
    "node_947": {
      "node_id": "node_947",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0049)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0101)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 251.63 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.62553466915864,
      "fos_buckling": 1.2665048256077434,
      "fos_yielding": 7.324436817015215,
      "deflection": 0.01163880785436741,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_946",
      "improvement_over_parent": null
    },
    "node_948": {
      "node_id": "node_948",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_947",
      "improvement_over_parent": null
    },
    "node_949": {
      "node_id": "node_949",
      "content": "INITIAL DESIGN (Trace 135)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 145.97 kg\n  Factor of Safety: 0.57\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": 145.97423928549202,
      "fos_buckling": 0.5736251080137132,
      "fos_yielding": 2.1382287766502888,
      "deflection": 0.021155782762040387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_950": {
      "node_id": "node_950",
      "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 146.11 kg\n  Factor of Safety: 0.57\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": 146.10931610843755,
      "fos_buckling": 0.5735952347237119,
      "fos_yielding": 2.9202997177264263,
      "deflection": 0.02098179359893575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.466)"
      },
      "parent_node_id": "node_949",
      "improvement_over_parent": null
    },
    "node_951": {
      "node_id": "node_951",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 180.52 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.52077645825818,
      "fos_buckling": 0.6865128469078169,
      "fos_yielding": 3.589962642304509,
      "deflection": 0.017055825490082503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_950",
      "improvement_over_parent": null
    },
    "node_952": {
      "node_id": "node_952",
      "content": "MODIFICATION: Increase 11 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 183.86 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.85863171973045,
      "fos_buckling": 0.6858550991475438,
      "fos_yielding": 3.905016156194139,
      "deflection": 0.016888913288281824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.374)"
      },
      "parent_node_id": "node_951",
      "improvement_over_parent": null
    },
    "node_953": {
      "node_id": "node_953",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 203.75 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.75318244053614,
      "fos_buckling": 0.7462776570113345,
      "fos_yielding": 4.312197635029795,
      "deflection": 0.015277842629788627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_952",
      "improvement_over_parent": null
    },
    "node_954": {
      "node_id": "node_954",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n\nPerformance:\n  Mass: 216.37 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.36909730653073,
      "fos_buckling": 1.353764829453562,
      "fos_yielding": 6.634029619727842,
      "deflection": 0.013348771051327332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005267)"
      },
      "parent_node_id": "node_953",
      "improvement_over_parent": null
    },
    "node_955": {
      "node_id": "node_955",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.42 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4159178733659,
      "fos_buckling": 1.534283385205356,
      "fos_yielding": 7.742443161987062,
      "deflection": 0.01148951644587106,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_954",
      "improvement_over_parent": null
    },
    "node_956": {
      "node_id": "node_956",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_955",
      "improvement_over_parent": null
    },
    "node_957": {
      "node_id": "node_957",
      "content": "INITIAL DESIGN (Trace 136)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 202.62 kg\n  Factor of Safety: 0.35\n  Max Deflection: 5.45e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.61740869949313,
      "fos_buckling": 0.346357921294645,
      "fos_yielding": 2.2727330465074087,
      "deflection": 0.05446626965227637,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_958": {
      "node_id": "node_958",
      "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 203.00 kg\n  Factor of Safety: 0.39\n  Max Deflection: 5.36e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.0009138069024,
      "fos_buckling": 0.39264536365652797,
      "fos_yielding": 2.9662437616571857,
      "deflection": 0.05355814652559805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.335)"
      },
      "parent_node_id": "node_957",
      "improvement_over_parent": null
    },
    "node_959": {
      "node_id": "node_959",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n\nPerformance:\n  Mass: 217.91 kg\n  Factor of Safety: 0.39\n  Max Deflection: 5.17e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.91002740056692,
      "fos_buckling": 0.3920838043772958,
      "fos_yielding": 2.9620222037865105,
      "deflection": 0.051706452013555323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004669)"
      },
      "parent_node_id": "node_958",
      "improvement_over_parent": null
    },
    "node_960": {
      "node_id": "node_960",
      "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n\nPerformance:\n  Mass: 218.27 kg\n  Factor of Safety: 0.39\n  Max Deflection: 5.17e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.27197309609252,
      "fos_buckling": 0.39208380437729456,
      "fos_yielding": 2.9620222037865025,
      "deflection": 0.051686679553908474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.225)"
      },
      "parent_node_id": "node_959",
      "improvement_over_parent": null
    },
    "node_961": {
      "node_id": "node_961",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 243.39 kg\n  Factor of Safety: 1.41\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": 243.39411474793937,
      "fos_buckling": 1.4128929255506666,
      "fos_yielding": 8.056159248081334,
      "deflection": 0.011921685175012306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_960",
      "improvement_over_parent": null
    },
    "node_962": {
      "node_id": "node_962",
      "content": "MODIFICATION: Increase 10 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0110)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 253.30 kg\n  Factor of Safety: 1.41\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": 253.29853132919484,
      "fos_buckling": 1.4119438909612547,
      "fos_yielding": 8.207509861520675,
      "deflection": 0.011794009982102657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.616)"
      },
      "parent_node_id": "node_961",
      "improvement_over_parent": null
    },
    "node_963": {
      "node_id": "node_963",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0110)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 254.00 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.00285217611588,
      "fos_buckling": 1.41559850794064,
      "fos_yielding": 8.827804519658613,
      "deflection": 0.011720620913126652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_962",
      "improvement_over_parent": null
    },
    "node_964": {
      "node_id": "node_964",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 137)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 169.84 kg\n  Factor of Safety: 0.54\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": 169.84426834152674,
      "fos_buckling": 0.5427756891180807,
      "fos_yielding": 3.7250804189469022,
      "deflection": 0.01918042420672259,
      "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 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 209.02 kg\n  Factor of Safety: 0.65\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.0195026518014,
      "fos_buckling": 0.649645302397206,
      "fos_yielding": 4.55017139443054,
      "deflection": 0.015664204782342983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_965",
      "improvement_over_parent": null
    },
    "node_967": {
      "node_id": "node_967",
      "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 211.96 kg\n  Factor of Safety: 0.65\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.95851749032735,
      "fos_buckling": 0.6492818363972944,
      "fos_yielding": 4.544775083459839,
      "deflection": 0.014911574277315438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.290)"
      },
      "parent_node_id": "node_966",
      "improvement_over_parent": null
    },
    "node_968": {
      "node_id": "node_968",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n\nPerformance:\n  Mass: 225.29 kg\n  Factor of Safety: 1.29\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": 225.2859150849839,
      "fos_buckling": 1.2941790640461972,
      "fos_yielding": 7.028598567110406,
      "deflection": 0.01276615190233838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005590)"
      },
      "parent_node_id": "node_967",
      "improvement_over_parent": null
    },
    "node_969": {
      "node_id": "node_969",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 248.89 kg\n  Factor of Safety: 1.41\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": 248.8915056875686,
      "fos_buckling": 1.4062081392613046,
      "fos_yielding": 7.766052126840941,
      "deflection": 0.011587180480994124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_968",
      "improvement_over_parent": null
    },
    "node_970": {
      "node_id": "node_970",
      "content": "MODIFICATION: Increase 15 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0078)]\n\nPerformance:\n  Mass: 252.27 kg\n  Factor of Safety: 1.46\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": 252.26818532762618,
      "fos_buckling": 1.4597260148673024,
      "fos_yielding": 7.782965931213686,
      "deflection": 0.011516393703528848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.259)"
      },
      "parent_node_id": "node_969",
      "improvement_over_parent": null
    },
    "node_971": {
      "node_id": "node_971",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_970",
      "improvement_over_parent": null
    },
    "node_972": {
      "node_id": "node_972",
      "content": "INITIAL DESIGN (Trace 138)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 184.39 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.29e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.38930162089258,
      "fos_buckling": 0.5760866738084751,
      "fos_yielding": 2.650049173156627,
      "deflection": 0.022927790950145795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_973": {
      "node_id": "node_973",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 224.86 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.8648802251404,
      "fos_buckling": 0.6776670332163511,
      "fos_yielding": 3.239039933076757,
      "deflection": 0.01887730877647077,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_972",
      "improvement_over_parent": null
    },
    "node_974": {
      "node_id": "node_974",
      "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 225.36 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.35708447723383,
      "fos_buckling": 0.6776024348777383,
      "fos_yielding": 3.875025066323096,
      "deflection": 0.01856535405924887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.263)"
      },
      "parent_node_id": "node_973",
      "improvement_over_parent": null
    },
    "node_975": {
      "node_id": "node_975",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49560804561628,
      "fos_buckling": 1.5345595377524592,
      "fos_yielding": 7.746951511949699,
      "deflection": 0.011485935543703972,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_974",
      "improvement_over_parent": null
    },
    "node_976": {
      "node_id": "node_976",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_975",
      "improvement_over_parent": null
    },
    "node_977": {
      "node_id": "node_977",
      "content": "INITIAL DESIGN (Trace 139)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 222.39 kg\n  Factor of Safety: 1.13\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.3925588108942,
      "fos_buckling": 1.1346164892491122,
      "fos_yielding": 6.582715053591737,
      "deflection": 0.013363209501282163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_978": {
      "node_id": "node_978",
      "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 232.21 kg\n  Factor of Safety: 1.16\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": 232.20782385357296,
      "fos_buckling": 1.1602036246254435,
      "fos_yielding": 7.129895596010895,
      "deflection": 0.012628308000489941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.621)"
      },
      "parent_node_id": "node_977",
      "improvement_over_parent": null
    },
    "node_979": {
      "node_id": "node_979",
      "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 239.05 kg\n  Factor of Safety: 1.16\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": 239.0462510456558,
      "fos_buckling": 1.163303167730374,
      "fos_yielding": 7.668582128019096,
      "deflection": 0.012018846532453177,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.481)"
      },
      "parent_node_id": "node_978",
      "improvement_over_parent": null
    },
    "node_980": {
      "node_id": "node_980",
      "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 243.45 kg\n  Factor of Safety: 1.16\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": 243.44849188392215,
      "fos_buckling": 1.1607430806446764,
      "fos_yielding": 7.363242044891574,
      "deflection": 0.011818872144078259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.325)"
      },
      "parent_node_id": "node_979",
      "improvement_over_parent": null
    },
    "node_981": {
      "node_id": "node_981",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 244.15 kg\n  Factor of Safety: 1.27\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": 244.15281273084318,
      "fos_buckling": 1.2676627208298508,
      "fos_yielding": 7.733294418277452,
      "deflection": 0.011774160979121632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_980",
      "improvement_over_parent": null
    },
    "node_982": {
      "node_id": "node_982",
      "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 247.92 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.91758715762978,
      "fos_buckling": 1.3575703308181752,
      "fos_yielding": 7.706194867011877,
      "deflection": 0.011633372650635583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.355)"
      },
      "parent_node_id": "node_981",
      "improvement_over_parent": null
    },
    "node_983": {
      "node_id": "node_983",
      "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0114)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 257.37 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.37014618512165,
      "fos_buckling": 1.3572579972840904,
      "fos_yielding": 8.164001091267417,
      "deflection": 0.011215226440505235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.399)"
      },
      "parent_node_id": "node_982",
      "improvement_over_parent": null
    },
    "node_984": {
      "node_id": "node_984",
      "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0114)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 261.48 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 261.4845198128185,
      "fos_buckling": 1.3886464444113347,
      "fos_yielding": 8.197073875765723,
      "deflection": 0.011100240633960581,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.425)"
      },
      "parent_node_id": "node_983",
      "improvement_over_parent": null
    },
    "node_985": {
      "node_id": "node_985",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_984",
      "improvement_over_parent": null
    },
    "node_986": {
      "node_id": "node_986",
      "content": "INITIAL DESIGN (Trace 140)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 189.50 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.5004418415352,
      "fos_buckling": 1.1119804039239356,
      "fos_yielding": 5.913728636296719,
      "deflection": 0.015112116057602052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_987": {
      "node_id": "node_987",
      "content": "MODIFICATION: Increase 15 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 192.35 kg\n  Factor of Safety: 1.23\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": 192.35142748431548,
      "fos_buckling": 1.2264453503793096,
      "fos_yielding": 5.895939942354137,
      "deflection": 0.01497464314318764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.269)"
      },
      "parent_node_id": "node_986",
      "improvement_over_parent": null
    },
    "node_988": {
      "node_id": "node_988",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 220.94 kg\n  Factor of Safety: 1.38\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": 220.94151204330626,
      "fos_buckling": 1.3773188456881416,
      "fos_yielding": 6.774496146657931,
      "deflection": 0.013079533250475084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_987",
      "improvement_over_parent": null
    },
    "node_989": {
      "node_id": "node_989",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.51372978374138,
      "fos_buckling": 1.5347128791964038,
      "fos_yielding": 7.745359852052058,
      "deflection": 0.011485363731404795,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_988",
      "improvement_over_parent": null
    },
    "node_990": {
      "node_id": "node_990",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 141)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0023)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 160.10 kg\n  Factor of Safety: 0.52\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": 160.09950762778448,
      "fos_buckling": 0.5236007225445884,
      "fos_yielding": 2.8613791149144086,
      "deflection": 0.02551454397447959,
      "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 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0023)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n\nPerformance:\n  Mass: 172.98 kg\n  Factor of Safety: 0.85\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": 172.98211396310026,
      "fos_buckling": 0.8494763070797389,
      "fos_yielding": 5.116844639506251,
      "deflection": 0.016909626881833638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.003683)"
      },
      "parent_node_id": "node_991",
      "improvement_over_parent": null
    },
    "node_993": {
      "node_id": "node_993",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n  Mass: 207.76 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.75889015737917,
      "fos_buckling": 1.0042084357324916,
      "fos_yielding": 6.150571686922255,
      "deflection": 0.014129951897020918,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_992",
      "improvement_over_parent": null
    },
    "node_994": {
      "node_id": "node_994",
      "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n  Mass: 210.50 kg\n  Factor of Safety: 1.06\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": 210.50411165789782,
      "fos_buckling": 1.0618294845483531,
      "fos_yielding": 6.175853290519688,
      "deflection": 0.01397202688100343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.414)"
      },
      "parent_node_id": "node_993",
      "improvement_over_parent": null
    },
    "node_995": {
      "node_id": "node_995",
      "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n  Mass: 213.69 kg\n  Factor of Safety: 1.06\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": 213.6879727985503,
      "fos_buckling": 1.0618524149911301,
      "fos_yielding": 6.194712918600186,
      "deflection": 0.01385672121452655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.353)"
      },
      "parent_node_id": "node_994",
      "improvement_over_parent": null
    },
    "node_996": {
      "node_id": "node_996",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n\nPerformance:\n  Mass: 243.14 kg\n  Factor of Safety: 1.19\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.13653342319438,
      "fos_buckling": 1.1916633425564884,
      "fos_yielding": 7.05467805897914,
      "deflection": 0.012214450270948512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_995",
      "improvement_over_parent": null
    },
    "node_997": {
      "node_id": "node_997",
      "content": "MODIFICATION: Increase 10 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0119)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n\nPerformance:\n  Mass: 254.70 kg\n  Factor of Safety: 1.28\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": 254.70348581601942,
      "fos_buckling": 1.2825144048236863,
      "fos_yielding": 6.689317711469094,
      "deflection": 0.011827299458648882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.580)"
      },
      "parent_node_id": "node_996",
      "improvement_over_parent": null
    },
    "node_998": {
      "node_id": "node_998",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_997",
      "improvement_over_parent": null
    },
    "node_999": {
      "node_id": "node_999",
      "content": "INITIAL DESIGN (Trace 142)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 188.62 kg\n  Factor of Safety: 1.11\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": 188.61946215810818,
      "fos_buckling": 1.106524111944258,
      "fos_yielding": 4.469140086687147,
      "deflection": 0.015323791360114396,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1000": {
      "node_id": "node_1000",
      "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 190.97 kg\n  Factor of Safety: 1.08\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": 190.9705309992186,
      "fos_buckling": 1.0837200284464452,
      "fos_yielding": 4.377036676919453,
      "deflection": 0.015252429147056127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.235)"
      },
      "parent_node_id": "node_999",
      "improvement_over_parent": null
    },
    "node_1001": {
      "node_id": "node_1001",
      "content": "MODIFICATION: Increase 11 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 197.43 kg\n  Factor of Safety: 1.00\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": 197.42544767866227,
      "fos_buckling": 1.0023040077090801,
      "fos_yielding": 4.048205521729732,
      "deflection": 0.01478866653938556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.585)"
      },
      "parent_node_id": "node_1000",
      "improvement_over_parent": null
    },
    "node_1002": {
      "node_id": "node_1002",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.40 kg\n  Factor of Safety: 1.26\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": 251.39686060294972,
      "fos_buckling": 1.2561336352091443,
      "fos_yielding": 5.195236339270524,
      "deflection": 0.011680408334175423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_1001",
      "improvement_over_parent": null
    },
    "node_1003": {
      "node_id": "node_1003",
      "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.31 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3098537759624,
      "fos_buckling": 1.5338509533165627,
      "fos_yielding": 7.7429723607910175,
      "deflection": 0.011494010228902458,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.613)"
      },
      "parent_node_id": "node_1002",
      "improvement_over_parent": null
    },
    "node_1004": {
      "node_id": "node_1004",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 143)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_1006": {
      "node_id": "node_1006",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 188.17 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.167078164616,
      "fos_buckling": 0.6885715547284759,
      "fos_yielding": 5.0466209564188045,
      "deflection": 0.018676975167419996,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006020)"
      },
      "parent_node_id": "node_1005",
      "improvement_over_parent": null
    },
    "node_1007": {
      "node_id": "node_1007",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n  Mass: 208.10 kg\n  Factor of Safety: 1.20\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": 208.10201006700015,
      "fos_buckling": 1.2027961671247327,
      "fos_yielding": 6.145111512857464,
      "deflection": 0.014235658405512927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006369)"
      },
      "parent_node_id": "node_1006",
      "improvement_over_parent": null
    },
    "node_1008": {
      "node_id": "node_1008",
      "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n  Mass: 212.22 kg\n  Factor of Safety: 1.20\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.22356056246576,
      "fos_buckling": 1.2044199106416325,
      "fos_yielding": 6.37154413551701,
      "deflection": 0.013711589162163947,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.244)"
      },
      "parent_node_id": "node_1007",
      "improvement_over_parent": null
    },
    "node_1009": {
      "node_id": "node_1009",
      "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0066)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n  Mass: 215.07 kg\n  Factor of Safety: 1.20\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": 215.0734373535983,
      "fos_buckling": 1.202941580110992,
      "fos_yielding": 6.270801894546596,
      "deflection": 0.013652639486982957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.220)"
      },
      "parent_node_id": "node_1008",
      "improvement_over_parent": null
    },
    "node_1010": {
      "node_id": "node_1010",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0078)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 251.29 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.2870409305815,
      "fos_buckling": 1.3740847396449414,
      "fos_yielding": 7.335994624039503,
      "deflection": 0.011729741007902753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_1009",
      "improvement_over_parent": null
    },
    "node_1011": {
      "node_id": "node_1011",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 144)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0019)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n  Mass: 136.37 kg\n  Factor of Safety: 0.88\n  Max Deflection: 2.16e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.37250698375706,
      "fos_buckling": 0.8796273710915664,
      "fos_yielding": 4.0405261409232684,
      "deflection": 0.02162981673493988,
      "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 12 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n  Mass: 139.34 kg\n  Factor of Safety: 0.87\n  Max Deflection: 2.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.34460744411732,
      "fos_buckling": 0.8651518030042433,
      "fos_yielding": 4.232919550483505,
      "deflection": 0.021226599639015024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.582)"
      },
      "parent_node_id": "node_1012",
      "improvement_over_parent": null
    },
    "node_1014": {
      "node_id": "node_1014",
      "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n  Mass: 140.83 kg\n  Factor of Safety: 0.86\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.8276983710577,
      "fos_buckling": 0.8602804573517524,
      "fos_yielding": 4.225827569383323,
      "deflection": 0.021093427182799107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.188)"
      },
      "parent_node_id": "node_1013",
      "improvement_over_parent": null
    },
    "node_1015": {
      "node_id": "node_1015",
      "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 143.10 kg\n  Factor of Safety: 0.96\n  Max Deflection: 2.09e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.10229445493295,
      "fos_buckling": 0.9554522082762439,
      "fos_yielding": 4.213994976163869,
      "deflection": 0.020899776758476114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.277)"
      },
      "parent_node_id": "node_1014",
      "improvement_over_parent": null
    },
    "node_1016": {
      "node_id": "node_1016",
      "content": "MODIFICATION: Increase 1 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 148.01 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.01157271403747,
      "fos_buckling": 0.9765707951060796,
      "fos_yielding": 4.5346761286958905,
      "deflection": 0.019360637962231184,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.495)"
      },
      "parent_node_id": "node_1015",
      "improvement_over_parent": null
    },
    "node_1017": {
      "node_id": "node_1017",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 176.96 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.62e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.96422244620308,
      "fos_buckling": 1.1418961748384044,
      "fos_yielding": 5.423505160135449,
      "deflection": 0.01624700389341046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_1016",
      "improvement_over_parent": null
    },
    "node_1018": {
      "node_id": "node_1018",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 222.70 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.6972810364328,
      "fos_buckling": 1.386277468565833,
      "fos_yielding": 6.8286840995510865,
      "deflection": 0.012978190062551945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1017",
      "improvement_over_parent": null
    },
    "node_1019": {
      "node_id": "node_1019",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49175763568735,
      "fos_buckling": 1.53455607362034,
      "fos_yielding": 7.744931809950426,
      "deflection": 0.011485622969804545,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_1018",
      "improvement_over_parent": null
    },
    "node_1020": {
      "node_id": "node_1020",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1019",
      "improvement_over_parent": null
    },
    "node_1021": {
      "node_id": "node_1021",
      "content": "INITIAL DESIGN (Trace 145)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 221.50 kg\n  Factor of Safety: 0.77\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": 221.49934541314255,
      "fos_buckling": 0.7686756256871586,
      "fos_yielding": 5.720701378920174,
      "deflection": 0.016950665877567838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1022": {
      "node_id": "node_1022",
      "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 226.63 kg\n  Factor of Safety: 0.92\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": 226.62814319691333,
      "fos_buckling": 0.9162128285956741,
      "fos_yielding": 5.717702138396922,
      "deflection": 0.01593398824949752,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.256)"
      },
      "parent_node_id": "node_1021",
      "improvement_over_parent": null
    },
    "node_1023": {
      "node_id": "node_1023",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 249.91 kg\n  Factor of Safety: 0.80\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": 249.91398279901057,
      "fos_buckling": 0.8023626544290119,
      "fos_yielding": 4.470998340619049,
      "deflection": 0.015750289819608132,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_1022",
      "improvement_over_parent": null
    },
    "node_1024": {
      "node_id": "node_1024",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4599749600727,
      "fos_buckling": 1.5340941132791661,
      "fos_yielding": 7.743062057752533,
      "deflection": 0.011487729875720599,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_1023",
      "improvement_over_parent": null
    },
    "node_1025": {
      "node_id": "node_1025",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1024",
      "improvement_over_parent": null
    },
    "node_1026": {
      "node_id": "node_1026",
      "content": "INITIAL DESIGN (Trace 146)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 124.61 kg\n  Factor of Safety: 0.83\n  Max Deflection: 2.11e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.60839144506828,
      "fos_buckling": 0.8340505615248421,
      "fos_yielding": 3.3898310175039783,
      "deflection": 21149353877555.52,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1027": {
      "node_id": "node_1027",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n\nPerformance:\n  Mass: 143.07 kg\n  Factor of Safety: 0.29\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.0679309191725,
      "fos_buckling": 0.29227740405945096,
      "fos_yielding": 4.3983484636984445,
      "deflection": 0.02398027036658652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005374)"
      },
      "parent_node_id": "node_1026",
      "improvement_over_parent": null
    },
    "node_1028": {
      "node_id": "node_1028",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n  Mass: 169.95 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.9466550539849,
      "fos_buckling": 0.339578328274212,
      "fos_yielding": 5.223972515255007,
      "deflection": 0.020240857715384628,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_1027",
      "improvement_over_parent": null
    },
    "node_1029": {
      "node_id": "node_1029",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n\nPerformance:\n  Mass: 188.76 kg\n  Factor of Safety: 0.34\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": 188.75929241578507,
      "fos_buckling": 0.33894707668517926,
      "fos_yielding": 4.340568176567354,
      "deflection": 0.016503654498042048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005983)"
      },
      "parent_node_id": "node_1028",
      "improvement_over_parent": null
    },
    "node_1030": {
      "node_id": "node_1030",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 233.63 kg\n  Factor of Safety: 0.41\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": 233.62935677519494,
      "fos_buckling": 0.40521341488770596,
      "fos_yielding": 5.375074004534124,
      "deflection": 0.013391219857260621,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_1029",
      "improvement_over_parent": null
    },
    "node_1031": {
      "node_id": "node_1031",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47740479050714,
      "fos_buckling": 1.5345575252551817,
      "fos_yielding": 7.7446838870780255,
      "deflection": 0.011486754727762425,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_1030",
      "improvement_over_parent": null
    },
    "node_1032": {
      "node_id": "node_1032",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 147)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 168.81 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.81239137769202,
      "fos_buckling": 1.0117955701814239,
      "fos_yielding": 4.887788388769062,
      "deflection": 0.017299343064042235,
      "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 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 217.03 kg\n  Factor of Safety: 1.27\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": 217.02591303162274,
      "fos_buckling": 1.2677963221564774,
      "fos_yielding": 6.291571773508439,
      "deflection": 0.0135234223108799,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1033",
      "improvement_over_parent": null
    },
    "node_1035": {
      "node_id": "node_1035",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 241.80 kg\n  Factor of Safety: 1.39\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": 241.80134343855875,
      "fos_buckling": 1.3935621373702718,
      "fos_yielding": 7.01454242735943,
      "deflection": 0.012168666029140457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_1034",
      "improvement_over_parent": null
    },
    "node_1036": {
      "node_id": "node_1036",
      "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 245.40 kg\n  Factor of Safety: 1.49\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": 245.39566827585026,
      "fos_buckling": 1.4935768104038665,
      "fos_yielding": 7.180392120538242,
      "deflection": 0.012061991004600448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.259)"
      },
      "parent_node_id": "node_1035",
      "improvement_over_parent": null
    },
    "node_1037": {
      "node_id": "node_1037",
      "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.40 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.39728553103382,
      "fos_buckling": 1.5341091176372144,
      "fos_yielding": 7.742232627709258,
      "deflection": 0.011489937465996884,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.497)"
      },
      "parent_node_id": "node_1036",
      "improvement_over_parent": null
    },
    "node_1038": {
      "node_id": "node_1038",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 148)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 216.94 kg\n  Factor of Safety: 1.16\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": 216.94020408329524,
      "fos_buckling": 1.1623193110110819,
      "fos_yielding": 6.72527822302173,
      "deflection": 0.013233270489654725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1040": {
      "node_id": "node_1040",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 247.98 kg\n  Factor of Safety: 1.30\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": 247.9847349311604,
      "fos_buckling": 1.3049895329388927,
      "fos_yielding": 7.689519987059175,
      "deflection": 0.011618404578329787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_1039",
      "improvement_over_parent": null
    },
    "node_1041": {
      "node_id": "node_1041",
      "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.35989913364762,
      "fos_buckling": 1.5345711609726334,
      "fos_yielding": 7.728526807830759,
      "deflection": 0.011487375731584985,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.464)"
      },
      "parent_node_id": "node_1040",
      "improvement_over_parent": null
    },
    "node_1042": {
      "node_id": "node_1042",
      "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4961245268707,
      "fos_buckling": 1.534719690244642,
      "fos_yielding": 7.745443954071833,
      "deflection": 0.01148575377742619,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.263)"
      },
      "parent_node_id": "node_1041",
      "improvement_over_parent": null
    },
    "node_1043": {
      "node_id": "node_1043",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1042",
      "improvement_over_parent": null
    },
    "node_1044": {
      "node_id": "node_1044",
      "content": "INITIAL DESIGN (Trace 149)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0010)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0015)]\n\nPerformance:\n  Mass: 135.75 kg\n  Factor of Safety: 0.54\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.74734055406327,
      "fos_buckling": 0.5436787800419424,
      "fos_yielding": 3.3123919712761882,
      "deflection": 0.02112364252745959,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1045": {
      "node_id": "node_1045",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0011)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0018)]\n\nPerformance:\n  Mass: 155.79 kg\n  Factor of Safety: 0.62\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": 155.79438635739646,
      "fos_buckling": 0.6185862831476503,
      "fos_yielding": 3.7984400930584683,
      "deflection": 0.018447491105727454,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_1044",
      "improvement_over_parent": null
    },
    "node_1046": {
      "node_id": "node_1046",
      "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0018)]\n\nPerformance:\n  Mass: 155.91 kg\n  Factor of Safety: 0.64\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": 155.90549716968013,
      "fos_buckling": 0.6434627230369203,
      "fos_yielding": 4.448055996129092,
      "deflection": 0.018395212254704314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.190)"
      },
      "parent_node_id": "node_1045",
      "improvement_over_parent": null
    },
    "node_1047": {
      "node_id": "node_1047",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0022)]\n\nPerformance:\n  Mass: 189.39 kg\n  Factor of Safety: 0.77\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": 189.3936991442695,
      "fos_buckling": 0.7725279225774677,
      "fos_yielding": 5.390870650446289,
      "deflection": 0.015200427635265447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_1046",
      "improvement_over_parent": null
    },
    "node_1048": {
      "node_id": "node_1048",
      "content": "MODIFICATION: Increase 9 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0022)]\n\nPerformance:\n  Mass: 189.80 kg\n  Factor of Safety: 0.79\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": 189.80373099135838,
      "fos_buckling": 0.7928522487500029,
      "fos_yielding": 6.150558866354204,
      "deflection": 0.015123301453215688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.502)"
      },
      "parent_node_id": "node_1047",
      "improvement_over_parent": null
    },
    "node_1049": {
      "node_id": "node_1049",
      "content": "MODIFICATION: Increase 15 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 193.68 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.67743397312591,
      "fos_buckling": 1.0492436686869575,
      "fos_yielding": 6.101820423120556,
      "deflection": 0.014772424553758618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.639)"
      },
      "parent_node_id": "node_1048",
      "improvement_over_parent": null
    },
    "node_1050": {
      "node_id": "node_1050",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 246.70 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.70363392770716,
      "fos_buckling": 1.2947205909586947,
      "fos_yielding": 7.773831103922647,
      "deflection": 0.011669353222276961,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_1049",
      "improvement_over_parent": null
    },
    "node_1051": {
      "node_id": "node_1051",
      "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.20 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.199890471011,
      "fos_buckling": 1.5332139704317629,
      "fos_yielding": 7.73582048390849,
      "deflection": 0.01149920132131194,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.460)"
      },
      "parent_node_id": "node_1050",
      "improvement_over_parent": null
    },
    "node_1052": {
      "node_id": "node_1052",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1051",
      "improvement_over_parent": null
    },
    "node_1053": {
      "node_id": "node_1053",
      "content": "INITIAL DESIGN (Trace 150)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 190.20 kg\n  Factor of Safety: 0.85\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": 190.20240580346143,
      "fos_buckling": 0.8515240603225559,
      "fos_yielding": 5.85390355537308,
      "deflection": 0.01910358314555664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1054": {
      "node_id": "node_1054",
      "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 195.85 kg\n  Factor of Safety: 0.85\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": 195.84995129630553,
      "fos_buckling": 0.8506053865427183,
      "fos_yielding": 6.494821892278939,
      "deflection": 0.018276287097173032,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.634)"
      },
      "parent_node_id": "node_1053",
      "improvement_over_parent": null
    },
    "node_1055": {
      "node_id": "node_1055",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 215.12 kg\n  Factor of Safety: 0.85\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": 215.11619211721285,
      "fos_buckling": 0.8490429538757347,
      "fos_yielding": 5.373982367347174,
      "deflection": 0.015252231563501863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_1054",
      "improvement_over_parent": null
    },
    "node_1056": {
      "node_id": "node_1056",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 233.96 kg\n  Factor of Safety: 0.84\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": 233.96424013252505,
      "fos_buckling": 0.844490363981361,
      "fos_yielding": 4.666624077905801,
      "deflection": 0.013480875011652915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_1055",
      "improvement_over_parent": null
    },
    "node_1057": {
      "node_id": "node_1057",
      "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0044)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 234.33 kg\n  Factor of Safety: 0.84\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": 234.33421593757114,
      "fos_buckling": 0.8444903639813593,
      "fos_yielding": 4.6644417678988646,
      "deflection": 0.013452915090239598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.195)"
      },
      "parent_node_id": "node_1056",
      "improvement_over_parent": null
    },
    "node_1058": {
      "node_id": "node_1058",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0044)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 249.06 kg\n  Factor of Safety: 1.43\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": 249.05872354622872,
      "fos_buckling": 1.4270042483579304,
      "fos_yielding": 7.929043862424232,
      "deflection": 0.01176375347609264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_1057",
      "improvement_over_parent": null
    },
    "node_1059": {
      "node_id": "node_1059",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1058",
      "improvement_over_parent": null
    },
    "node_1060": {
      "node_id": "node_1060",
      "content": "INITIAL DESIGN (Trace 151)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 219.62 kg\n  Factor of Safety: 0.44\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": 219.62130128074716,
      "fos_buckling": 0.44268861036973495,
      "fos_yielding": 1.9258211421465083,
      "deflection": 0.02425311503717736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1061": {
      "node_id": "node_1061",
      "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 222.37 kg\n  Factor of Safety: 0.44\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": 222.370986392291,
      "fos_buckling": 0.44257058898708046,
      "fos_yielding": 1.9253120695449462,
      "deflection": 0.02409699113902699,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.183)"
      },
      "parent_node_id": "node_1060",
      "improvement_over_parent": null
    },
    "node_1062": {
      "node_id": "node_1062",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 247.49 kg\n  Factor of Safety: 1.49\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": 247.49312804413785,
      "fos_buckling": 1.492322008432292,
      "fos_yielding": 7.784802323748849,
      "deflection": 0.011659239507874094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_1061",
      "improvement_over_parent": null
    },
    "node_1063": {
      "node_id": "node_1063",
      "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46101292910384,
      "fos_buckling": 1.5344219589638475,
      "fos_yielding": 7.7451967201077325,
      "deflection": 0.011487373683114225,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.522)"
      },
      "parent_node_id": "node_1062",
      "improvement_over_parent": null
    },
    "node_1064": {
      "node_id": "node_1064",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1063",
      "improvement_over_parent": null
    },
    "node_1065": {
      "node_id": "node_1065",
      "content": "INITIAL DESIGN (Trace 152)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n  Mass: 170.81 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.8121044312113,
      "fos_buckling": 0.3425065943466155,
      "fos_yielding": 4.693501555214059,
      "deflection": 0.020998380766993934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1066": {
      "node_id": "node_1066",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 214.69 kg\n  Factor of Safety: 0.41\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": 214.68577532293747,
      "fos_buckling": 0.4116854214630969,
      "fos_yielding": 5.837854317297096,
      "deflection": 0.01680079578767616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_1065",
      "improvement_over_parent": null
    },
    "node_1067": {
      "node_id": "node_1067",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.30 kg\n  Factor of Safety: 0.92\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": 233.3013013793048,
      "fos_buckling": 0.9161129426395258,
      "fos_yielding": 6.812255925553805,
      "deflection": 0.014731881734678034,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_1066",
      "improvement_over_parent": null
    },
    "node_1068": {
      "node_id": "node_1068",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5675422002121,
      "fos_buckling": 1.535002819756451,
      "fos_yielding": 7.748379584041763,
      "deflection": 0.011482568085746962,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_1067",
      "improvement_over_parent": null
    },
    "node_1069": {
      "node_id": "node_1069",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1068",
      "improvement_over_parent": null
    },
    "node_1070": {
      "node_id": "node_1070",
      "content": "INITIAL DESIGN (Trace 153)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n\nPerformance:\n  Mass: 172.54 kg\n  Factor of Safety: 0.36\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": 172.53984340241053,
      "fos_buckling": 0.3573163937884512,
      "fos_yielding": 4.45075612896084,
      "deflection": 0.018256136512461826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1071": {
      "node_id": "node_1071",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 193.98 kg\n  Factor of Safety: 0.39\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": 193.98026922100826,
      "fos_buckling": 0.39349984831706836,
      "fos_yielding": 4.978397732067731,
      "deflection": 0.016282406918657295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_1070",
      "improvement_over_parent": null
    },
    "node_1072": {
      "node_id": "node_1072",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 229.02 kg\n  Factor of Safety: 0.45\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": 229.0161331574685,
      "fos_buckling": 0.448896779148275,
      "fos_yielding": 5.829083397351272,
      "deflection": 0.013852446449062654,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_1071",
      "improvement_over_parent": null
    },
    "node_1073": {
      "node_id": "node_1073",
      "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 233.92 kg\n  Factor of Safety: 0.45\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": 233.91756054662292,
      "fos_buckling": 0.4460935023122783,
      "fos_yielding": 5.8264010660446255,
      "deflection": 0.013532304446501095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.242)"
      },
      "parent_node_id": "node_1072",
      "improvement_over_parent": null
    },
    "node_1074": {
      "node_id": "node_1074",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.53308660299024,
      "fos_buckling": 1.5347454409766317,
      "fos_yielding": 7.746357465593666,
      "deflection": 0.01148426184135844,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_1073",
      "improvement_over_parent": null
    },
    "node_1075": {
      "node_id": "node_1075",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1074",
      "improvement_over_parent": null
    },
    "node_1076": {
      "node_id": "node_1076",
      "content": "INITIAL DESIGN (Trace 154)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_1077": {
      "node_id": "node_1077",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 229.19 kg\n  Factor of Safety: 0.92\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": 229.18889632966773,
      "fos_buckling": 0.9161524298001135,
      "fos_yielding": 6.812016400201646,
      "deflection": 0.0147329496186236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_1076",
      "improvement_over_parent": null
    },
    "node_1078": {
      "node_id": "node_1078",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47473593176497,
      "fos_buckling": 1.5345834291354261,
      "fos_yielding": 7.744422612795698,
      "deflection": 0.011486886429108655,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_1077",
      "improvement_over_parent": null
    },
    "node_1079": {
      "node_id": "node_1079",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1078",
      "improvement_over_parent": null
    },
    "node_1080": {
      "node_id": "node_1080",
      "content": "INITIAL DESIGN (Trace 155)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 158.43 kg\n  Factor of Safety: 0.67\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": 158.42980895623225,
      "fos_buckling": 0.6680835159181904,
      "fos_yielding": 3.8628034638170394,
      "deflection": 0.019117554146324118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1081": {
      "node_id": "node_1081",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 178.26 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.26455561634043,
      "fos_buckling": 0.7400586985677708,
      "fos_yielding": 4.341047001483382,
      "deflection": 0.017019391233024015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_1080",
      "improvement_over_parent": null
    },
    "node_1082": {
      "node_id": "node_1082",
      "content": "MODIFICATION: Increase 11 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 182.55 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.54751487439083,
      "fos_buckling": 0.7397453619253664,
      "fos_yielding": 4.339220631032602,
      "deflection": 0.016714504691477002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.326)"
      },
      "parent_node_id": "node_1081",
      "improvement_over_parent": null
    },
    "node_1083": {
      "node_id": "node_1083",
      "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 186.22 kg\n  Factor of Safety: 0.74\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": 186.21839866461198,
      "fos_buckling": 0.7397453619253681,
      "fos_yielding": 4.334531584920653,
      "deflection": 0.015809123140773765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.232)"
      },
      "parent_node_id": "node_1082",
      "improvement_over_parent": null
    },
    "node_1084": {
      "node_id": "node_1084",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n  Mass: 199.37 kg\n  Factor of Safety: 1.26\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": 199.3733721207633,
      "fos_buckling": 1.264214874446655,
      "fos_yielding": 6.114002093463364,
      "deflection": 0.014457565317689719,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004936)"
      },
      "parent_node_id": "node_1083",
      "improvement_over_parent": null
    },
    "node_1085": {
      "node_id": "node_1085",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.76 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.76127280489033,
      "fos_buckling": 1.5358713401994624,
      "fos_yielding": 7.755872828835772,
      "deflection": 0.011473453555397332,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_1084",
      "improvement_over_parent": null
    },
    "node_1086": {
      "node_id": "node_1086",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1085",
      "improvement_over_parent": null
    },
    "node_1087": {
      "node_id": "node_1087",
      "content": "INITIAL DESIGN (Trace 156)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0031)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 143.06 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.23e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.05937909278157,
      "fos_buckling": 0.5729453693477393,
      "fos_yielding": 2.6332737674698814,
      "deflection": 0.02233624441694042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1088": {
      "node_id": "node_1088",
      "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 148.50 kg\n  Factor of Safety: 0.57\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": 148.497946553756,
      "fos_buckling": 0.5720450040554197,
      "fos_yielding": 3.173886182804598,
      "deflection": 0.020818240133031705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.560)"
      },
      "parent_node_id": "node_1087",
      "improvement_over_parent": null
    },
    "node_1089": {
      "node_id": "node_1089",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 178.24 kg\n  Factor of Safety: 0.67\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": 178.23592384698074,
      "fos_buckling": 0.668359326797253,
      "fos_yielding": 3.7891788585205153,
      "deflection": 0.01740967575015837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_1088",
      "improvement_over_parent": null
    },
    "node_1090": {
      "node_id": "node_1090",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 206.23 kg\n  Factor of Safety: 0.75\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": 206.23356070057895,
      "fos_buckling": 0.7536870256431972,
      "fos_yielding": 4.36249902231393,
      "deflection": 0.015098980828591823,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_1089",
      "improvement_over_parent": null
    },
    "node_1091": {
      "node_id": "node_1091",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 237.77 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.77135244096291,
      "fos_buckling": 0.8436921154143672,
      "fos_yielding": 5.001494982180989,
      "deflection": 0.013147841455483141,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1090",
      "improvement_over_parent": null
    },
    "node_1092": {
      "node_id": "node_1092",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n  Mass: 249.09 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.0893886347832,
      "fos_buckling": 1.3875526381760712,
      "fos_yielding": 7.722351834920961,
      "deflection": 0.011580449315421673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004686)"
      },
      "parent_node_id": "node_1091",
      "improvement_over_parent": null
    },
    "node_1093": {
      "node_id": "node_1093",
      "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0049)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n  Mass: 249.71 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.70696503275286,
      "fos_buckling": 1.3874166144056554,
      "fos_yielding": 7.657833356722832,
      "deflection": 0.011537634810901897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.330)"
      },
      "parent_node_id": "node_1092",
      "improvement_over_parent": null
    },
    "node_1094": {
      "node_id": "node_1094",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1093",
      "improvement_over_parent": null
    },
    "node_1095": {
      "node_id": "node_1095",
      "content": "INITIAL DESIGN (Trace 157)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 134.78 kg\n  Factor of Safety: 0.40\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": 134.7825198435889,
      "fos_buckling": 0.40462946346059053,
      "fos_yielding": 1.6949155087519892,
      "deflection": 11828042540759.717,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1096": {
      "node_id": "node_1096",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n\nPerformance:\n  Mass: 154.21 kg\n  Factor of Safety: 0.64\n  Max Deflection: 2.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.20924967051621,
      "fos_buckling": 0.6439905438366217,
      "fos_yielding": 3.8865791111249686,
      "deflection": 0.022684932048432634,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005674)"
      },
      "parent_node_id": "node_1095",
      "improvement_over_parent": null
    },
    "node_1097": {
      "node_id": "node_1097",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n  Mass: 166.94 kg\n  Factor of Safety: 0.69\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": 166.9444371811445,
      "fos_buckling": 0.6937380383752552,
      "fos_yielding": 4.907309719830209,
      "deflection": 0.02043368385549081,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004594)"
      },
      "parent_node_id": "node_1096",
      "improvement_over_parent": null
    },
    "node_1098": {
      "node_id": "node_1098",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 180.74 kg\n  Factor of Safety: 1.16\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": 180.7369026436191,
      "fos_buckling": 1.1628486604617165,
      "fos_yielding": 5.539399495740763,
      "deflection": 0.015915469630468745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004968)"
      },
      "parent_node_id": "node_1097",
      "improvement_over_parent": null
    },
    "node_1099": {
      "node_id": "node_1099",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 207.59 kg\n  Factor of Safety: 1.31\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": 207.5873547305721,
      "fos_buckling": 1.307812443027014,
      "fos_yielding": 6.364289540880674,
      "deflection": 0.013899489542721969,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_1098",
      "improvement_over_parent": null
    },
    "node_1100": {
      "node_id": "node_1100",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.57671756725185,
      "fos_buckling": 1.5349869210761902,
      "fos_yielding": 7.747571680251941,
      "deflection": 0.01148237072772545,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_1099",
      "improvement_over_parent": null
    },
    "node_1101": {
      "node_id": "node_1101",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1100",
      "improvement_over_parent": null
    },
    "node_1102": {
      "node_id": "node_1102",
      "content": "INITIAL DESIGN (Trace 158)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 164.19 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.84e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.18818390819246,
      "fos_buckling": 0.5303325327313352,
      "fos_yielding": 4.631278445984636,
      "deflection": 18350043003691.555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1103": {
      "node_id": "node_1103",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n  Mass: 166.32 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.27e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.3232344881254,
      "fos_buckling": 0.3961149123721231,
      "fos_yielding": 1.6949155087519892,
      "deflection": 12731388714124.166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003354)"
      },
      "parent_node_id": "node_1102",
      "improvement_over_parent": null
    },
    "node_1104": {
      "node_id": "node_1104",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 198.43 kg\n  Factor of Safety: 0.10\n  Max Deflection: 9.20e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.42683590369674,
      "fos_buckling": 0.10439022823717507,
      "fos_yielding": 0.4237288771879973,
      "deflection": 91962156329667.53,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1103",
      "improvement_over_parent": null
    },
    "node_1105": {
      "node_id": "node_1105",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 217.04 kg\n  Factor of Safety: 0.21\n  Max Deflection: 8.88e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.04236196006406,
      "fos_buckling": 0.21296007283223686,
      "fos_yielding": 3.3898310175039783,
      "deflection": 8879866605037.77,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_1104",
      "improvement_over_parent": null
    },
    "node_1106": {
      "node_id": "node_1106",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 233.71 kg\n  Factor of Safety: 0.41\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": 233.71264576632115,
      "fos_buckling": 0.40529819853505783,
      "fos_yielding": 5.377021444630626,
      "deflection": 0.013386690526092492,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_1105",
      "improvement_over_parent": null
    },
    "node_1107": {
      "node_id": "node_1107",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.56069378163335,
      "fos_buckling": 1.5350922213493954,
      "fos_yielding": 7.747441162883894,
      "deflection": 0.011482631231461567,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_1106",
      "improvement_over_parent": null
    },
    "node_1108": {
      "node_id": "node_1108",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1107",
      "improvement_over_parent": null
    },
    "node_1109": {
      "node_id": "node_1109",
      "content": "INITIAL DESIGN (Trace 159)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 158.03 kg\n  Factor of Safety: 0.65\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": 158.03498751109348,
      "fos_buckling": 0.6494711309096326,
      "fos_yielding": 3.0976986926624197,
      "deflection": 0.01976708322100135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1110": {
      "node_id": "node_1110",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 184.65 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.64735372076913,
      "fos_buckling": 0.7389313773402351,
      "fos_yielding": 3.609191018699628,
      "deflection": 0.016967585530915482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_1109",
      "improvement_over_parent": null
    },
    "node_1111": {
      "node_id": "node_1111",
      "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 191.62 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.61752191565452,
      "fos_buckling": 0.7374559465866983,
      "fos_yielding": 4.306268967020196,
      "deflection": 0.01591801852349475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.529)"
      },
      "parent_node_id": "node_1110",
      "improvement_over_parent": null
    },
    "node_1112": {
      "node_id": "node_1112",
      "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 197.94 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.9370237948718,
      "fos_buckling": 0.7370112056067815,
      "fos_yielding": 4.276128710641354,
      "deflection": 0.015512713973748518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.511)"
      },
      "parent_node_id": "node_1111",
      "improvement_over_parent": null
    },
    "node_1113": {
      "node_id": "node_1113",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 234.88 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.87789082866573,
      "fos_buckling": 0.8446083441633266,
      "fos_yielding": 5.0469718104821,
      "deflection": 0.013133201005382686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_1112",
      "improvement_over_parent": null
    },
    "node_1114": {
      "node_id": "node_1114",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.66936651707016,
      "fos_buckling": 1.535784018416134,
      "fos_yielding": 7.750497885400335,
      "deflection": 0.011478490339599782,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_1113",
      "improvement_over_parent": null
    },
    "node_1115": {
      "node_id": "node_1115",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1114",
      "improvement_over_parent": null
    },
    "node_1116": {
      "node_id": "node_1116",
      "content": "INITIAL DESIGN (Trace 160)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n  Mass: 123.71 kg\n  Factor of Safety: 0.35\n  Max Deflection: 3.56e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.71397960648451,
      "fos_buckling": 0.3530192466382898,
      "fos_yielding": 2.5011661037181088,
      "deflection": 0.035631084787428116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1117": {
      "node_id": "node_1117",
      "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n  Mass: 127.09 kg\n  Factor of Safety: 0.35\n  Max Deflection: 3.56e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.09167192448928,
      "fos_buckling": 0.35318267933602804,
      "fos_yielding": 2.500754680913979,
      "deflection": 0.03563971577687917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.553)"
      },
      "parent_node_id": "node_1116",
      "improvement_over_parent": null
    },
    "node_1118": {
      "node_id": "node_1118",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n\nPerformance:\n  Mass: 141.09 kg\n  Factor of Safety: 0.39\n  Max Deflection: 3.21e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.08696846539073,
      "fos_buckling": 0.38614779536240795,
      "fos_yielding": 2.770468758654994,
      "deflection": 0.032142102981995345,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1117",
      "improvement_over_parent": null
    },
    "node_1119": {
      "node_id": "node_1119",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n  Mass: 161.07 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.07038763821217,
      "fos_buckling": 0.43125601107752465,
      "fos_yielding": 3.153648992375977,
      "deflection": 0.02820088342480759,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_1118",
      "improvement_over_parent": null
    },
    "node_1120": {
      "node_id": "node_1120",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n  Mass: 183.02 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.01518357722023,
      "fos_buckling": 0.37282069116504546,
      "fos_yielding": 4.754996954136653,
      "deflection": 0.017076167292843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006465)"
      },
      "parent_node_id": "node_1119",
      "improvement_over_parent": null
    },
    "node_1121": {
      "node_id": "node_1121",
      "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n  Mass: 188.92 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.91666633681598,
      "fos_buckling": 0.3396991868178842,
      "fos_yielding": 4.7470217014583085,
      "deflection": 0.01700186928229863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.490)"
      },
      "parent_node_id": "node_1120",
      "improvement_over_parent": null
    },
    "node_1122": {
      "node_id": "node_1122",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0095)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 233.35 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.34778726509649,
      "fos_buckling": 0.4035058651113425,
      "fos_yielding": 5.807252843036788,
      "deflection": 0.013832294226271401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_1121",
      "improvement_over_parent": null
    },
    "node_1123": {
      "node_id": "node_1123",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0095)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.96 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.9633133214638,
      "fos_buckling": 1.4313267016628357,
      "fos_yielding": 8.00455591622714,
      "deflection": 0.011739556094878773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_1122",
      "improvement_over_parent": null
    },
    "node_1124": {
      "node_id": "node_1124",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1123",
      "improvement_over_parent": null
    },
    "node_1125": {
      "node_id": "node_1125",
      "content": "INITIAL DESIGN (Trace 161)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 153.45 kg\n  Factor of Safety: 0.30\n  Max Deflection: 5.58e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.4535400870549,
      "fos_buckling": 0.29991550275014484,
      "fos_yielding": 1.0430249284627626,
      "deflection": 5584816636511.01,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1126": {
      "node_id": "node_1126",
      "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 158.61 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.99e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.6086129419473,
      "fos_buckling": 0.2624260649063767,
      "fos_yielding": 1.129943672501326,
      "deflection": 8991672162414.635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.383)"
      },
      "parent_node_id": "node_1125",
      "improvement_over_parent": null
    },
    "node_1127": {
      "node_id": "node_1127",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 187.62 kg\n  Factor of Safety: 0.30\n  Max Deflection: 7.15e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.62429702594434,
      "fos_buckling": 0.30183474729831045,
      "fos_yielding": 1.0430249284627628,
      "deflection": 7153534456396.837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_1126",
      "improvement_over_parent": null
    },
    "node_1128": {
      "node_id": "node_1128",
      "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 193.11 kg\n  Factor of Safety: 0.30\n  Max Deflection: 1.64e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.11186962107448,
      "fos_buckling": 0.30183474729831045,
      "fos_yielding": 1.6949155087519892,
      "deflection": 16399893540106.023,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.292)"
      },
      "parent_node_id": "node_1127",
      "improvement_over_parent": null
    },
    "node_1129": {
      "node_id": "node_1129",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 218.23 kg\n  Factor of Safety: 0.30\n  Max Deflection: 5.39e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.23401127292132,
      "fos_buckling": 0.2996338945326203,
      "fos_yielding": 1.1658463025349133,
      "deflection": 0.053889051125972504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_1128",
      "improvement_over_parent": null
    },
    "node_1130": {
      "node_id": "node_1130",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 245.37 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.37253484130378,
      "fos_buckling": 0.8058946224983047,
      "fos_yielding": 4.503933494748302,
      "deflection": 0.015754844152216927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_1129",
      "improvement_over_parent": null
    },
    "node_1131": {
      "node_id": "node_1131",
      "content": "MODIFICATION: Increase 3 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 249.80 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.80431864304597,
      "fos_buckling": 0.8022144957888095,
      "fos_yielding": 4.47056898352579,
      "deflection": 0.015755462143981463,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.328)"
      },
      "parent_node_id": "node_1130",
      "improvement_over_parent": null
    },
    "node_1132": {
      "node_id": "node_1132",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.35031080410812,
      "fos_buckling": 1.534279526198677,
      "fos_yielding": 7.74370189103375,
      "deflection": 0.01149188815403221,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_1131",
      "improvement_over_parent": null
    },
    "node_1133": {
      "node_id": "node_1133",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1132",
      "improvement_over_parent": null
    },
    "node_1134": {
      "node_id": "node_1134",
      "content": "INITIAL DESIGN (Trace 162)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 205.32 kg\n  Factor of Safety: 0.69\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": 205.32299705553473,
      "fos_buckling": 0.6909352302947087,
      "fos_yielding": 3.9897682177966045,
      "deflection": 0.018852381473676193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1135": {
      "node_id": "node_1135",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n  Mass: 207.46 kg\n  Factor of Safety: 1.13\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": 207.45981615064653,
      "fos_buckling": 1.128069009127597,
      "fos_yielding": 6.526550414013596,
      "deflection": 0.013815265061746287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003357)"
      },
      "parent_node_id": "node_1134",
      "improvement_over_parent": null
    },
    "node_1136": {
      "node_id": "node_1136",
      "content": "MODIFICATION: Increase 15 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0048)]\n\nPerformance:\n  Mass: 208.28 kg\n  Factor of Safety: 1.12\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": 208.27596891866457,
      "fos_buckling": 1.1248373077294842,
      "fos_yielding": 7.850125685798118,
      "deflection": 0.013699666226618527,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.427)"
      },
      "parent_node_id": "node_1135",
      "improvement_over_parent": null
    },
    "node_1137": {
      "node_id": "node_1137",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0058)]\n\nPerformance:\n  Mass: 248.33 kg\n  Factor of Safety: 1.31\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": 248.32708939029612,
      "fos_buckling": 1.308835631320852,
      "fos_yielding": 9.300076252879052,
      "deflection": 0.01154533477403786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_1136",
      "improvement_over_parent": null
    },
    "node_1138": {
      "node_id": "node_1138",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 166.52 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.97e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.5210513953936,
      "fos_buckling": 0.7273040757251094,
      "fos_yielding": 5.179438037567079,
      "deflection": 0.019708396855079333,
      "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: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 190.59 kg\n  Factor of Safety: 0.81\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": 190.59173539104717,
      "fos_buckling": 0.8145441458220881,
      "fos_yielding": 5.91193028620144,
      "deflection": 0.01726827166311832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_1139",
      "improvement_over_parent": null
    },
    "node_1141": {
      "node_id": "node_1141",
      "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 192.64 kg\n  Factor of Safety: 0.81\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": 192.64435683700805,
      "fos_buckling": 0.8144629063264155,
      "fos_yielding": 5.911340653046053,
      "deflection": 0.01720132990638612,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.208)"
      },
      "parent_node_id": "node_1140",
      "improvement_over_parent": null
    },
    "node_1142": {
      "node_id": "node_1142",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 222.87 kg\n  Factor of Safety: 0.92\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": 222.8693452426106,
      "fos_buckling": 0.9167814116571503,
      "fos_yielding": 6.816350219065638,
      "deflection": 0.014920019809794283,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1141",
      "improvement_over_parent": null
    },
    "node_1143": {
      "node_id": "node_1143",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 246.16 kg\n  Factor of Safety: 1.26\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": 246.15518484470783,
      "fos_buckling": 1.262621168737863,
      "fos_yielding": 7.372513902106316,
      "deflection": 0.011700304349011705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_1142",
      "improvement_over_parent": null
    },
    "node_1144": {
      "node_id": "node_1144",
      "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0102)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 254.50 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.50204307645035,
      "fos_buckling": 1.2522123872741935,
      "fos_yielding": 7.398014758687347,
      "deflection": 0.011578872249742533,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.546)"
      },
      "parent_node_id": "node_1143",
      "improvement_over_parent": null
    },
    "node_1145": {
      "node_id": "node_1145",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1144",
      "improvement_over_parent": null
    },
    "node_1146": {
      "node_id": "node_1146",
      "content": "INITIAL DESIGN (Trace 164)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 131.65 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.94e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.6531755220061,
      "fos_buckling": 0.4878141360949646,
      "fos_yielding": 2.639787064264404,
      "deflection": 0.02936467707999355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1147": {
      "node_id": "node_1147",
      "content": "MODIFICATION: Increase 4 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 136.93 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.88e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.92769918434809,
      "fos_buckling": 0.4874369282464226,
      "fos_yielding": 2.637754778967531,
      "deflection": 0.028796697813712652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.481)"
      },
      "parent_node_id": "node_1146",
      "improvement_over_parent": null
    },
    "node_1148": {
      "node_id": "node_1148",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n\nPerformance:\n  Mass: 148.15 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.76e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.14729265877986,
      "fos_buckling": 0.4866364954198498,
      "fos_yielding": 2.633442235836642,
      "deflection": 0.02759314287636443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004165)"
      },
      "parent_node_id": "node_1147",
      "improvement_over_parent": null
    },
    "node_1149": {
      "node_id": "node_1149",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n  Mass: 171.81 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.39e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.8064452310754,
      "fos_buckling": 0.5525919926686903,
      "fos_yielding": 3.043955315081545,
      "deflection": 0.023858531672191815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_1148",
      "improvement_over_parent": null
    },
    "node_1150": {
      "node_id": "node_1150",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 220.26 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.257784024375,
      "fos_buckling": 0.6777975091965296,
      "fos_yielding": 3.876166840472783,
      "deflection": 0.018714625071500006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1149",
      "improvement_over_parent": null
    },
    "node_1151": {
      "node_id": "node_1151",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 247.40 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.39630759275747,
      "fos_buckling": 1.3198107324363206,
      "fos_yielding": 7.780810937815491,
      "deflection": 0.011640658824220565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_1150",
      "improvement_over_parent": null
    },
    "node_1152": {
      "node_id": "node_1152",
      "content": "MODIFICATION: Increase 15 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0115)]\n\nPerformance:\n  Mass: 257.14 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.14216831751787,
      "fos_buckling": 1.3177914377949596,
      "fos_yielding": 8.259858893845045,
      "deflection": 0.011212596176857903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.412)"
      },
      "parent_node_id": "node_1151",
      "improvement_over_parent": null
    },
    "node_1153": {
      "node_id": "node_1153",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 174.87 kg\n  Factor of Safety: 0.73\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": 174.86690861026077,
      "fos_buckling": 0.733844634177125,
      "fos_yielding": 4.650242274465947,
      "deflection": 0.01778476567623542,
      "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 all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 209.98 kg\n  Factor of Safety: 0.85\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": 209.975502899074,
      "fos_buckling": 0.8496892631855535,
      "fos_yielding": 5.580546531435086,
      "deflection": 0.014868726351977612,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_1154",
      "improvement_over_parent": null
    },
    "node_1156": {
      "node_id": "node_1156",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 227.77 kg\n  Factor of Safety: 0.41\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": 227.76697858747843,
      "fos_buckling": 0.40581846801309795,
      "fos_yielding": 5.583862275953085,
      "deflection": 0.013623922643204228,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_1155",
      "improvement_over_parent": null
    },
    "node_1157": {
      "node_id": "node_1157",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 246.62 kg\n  Factor of Safety: 1.46\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.61502660279064,
      "fos_buckling": 1.45527934465046,
      "fos_yielding": 8.178758138143984,
      "deflection": 0.011740670044709984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_1156",
      "improvement_over_parent": null
    },
    "node_1158": {
      "node_id": "node_1158",
      "content": "MODIFICATION: Increase 11 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.66916606860644,
      "fos_buckling": 1.5357005169529623,
      "fos_yielding": 7.750137792963963,
      "deflection": 0.011477683153980005,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.385)"
      },
      "parent_node_id": "node_1157",
      "improvement_over_parent": null
    },
    "node_1159": {
      "node_id": "node_1159",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1158",
      "improvement_over_parent": null
    },
    "node_1160": {
      "node_id": "node_1160",
      "content": "INITIAL DESIGN (Trace 166)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 150.09 kg\n  Factor of Safety: 0.29\n  Max Deflection: 4.34e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.09140996616222,
      "fos_buckling": 0.2877674034568643,
      "fos_yielding": 3.1020491451102568,
      "deflection": 0.043436798579261866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1161": {
      "node_id": "node_1161",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 184.31 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.54e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.30915187337177,
      "fos_buckling": 0.3437988118851111,
      "fos_yielding": 3.8037868267227766,
      "deflection": 0.0354273742005773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_1160",
      "improvement_over_parent": null
    },
    "node_1162": {
      "node_id": "node_1162",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n\nPerformance:\n  Mass: 199.83 kg\n  Factor of Safety: 0.72\n  Max Deflection: 2.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.83118461671594,
      "fos_buckling": 0.7215073590008976,
      "fos_yielding": 4.064911040944313,
      "deflection": 0.020735100549952815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005495)"
      },
      "parent_node_id": "node_1161",
      "improvement_over_parent": null
    },
    "node_1163": {
      "node_id": "node_1163",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 242.88 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.8770594976959,
      "fos_buckling": 0.8487045863303155,
      "fos_yielding": 4.929998044966156,
      "deflection": 0.017100200016677836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1162",
      "improvement_over_parent": null
    },
    "node_1164": {
      "node_id": "node_1164",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 245.42 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.22e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 245.42305165875806,
      "fos_buckling": 1.515580597621826,
      "fos_yielding": 7.2945502967389775,
      "deflection": 0.01220789164287553,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_1163",
      "improvement_over_parent": null
    },
    "node_1165": {
      "node_id": "node_1165",
      "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.45217019097487,
      "fos_buckling": 1.5344990974304449,
      "fos_yielding": 7.743439573124477,
      "deflection": 0.01148874080632207,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.404)"
      },
      "parent_node_id": "node_1164",
      "improvement_over_parent": null
    },
    "node_1166": {
      "node_id": "node_1166",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1165",
      "improvement_over_parent": null
    },
    "node_1167": {
      "node_id": "node_1167",
      "content": "INITIAL DESIGN (Trace 167)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 125.49 kg\n  Factor of Safety: 0.52\n  Max Deflection: 5.29e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.49033510180878,
      "fos_buckling": 0.524285298251027,
      "fos_yielding": 0.8474577543759945,
      "deflection": 52932114625094.8,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1168": {
      "node_id": "node_1168",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n\nPerformance:\n  Mass: 141.47 kg\n  Factor of Safety: 0.41\n  Max Deflection: 3.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.4697072482006,
      "fos_buckling": 0.4083224383228302,
      "fos_yielding": 2.2160305464003853,
      "deflection": 0.03024081038963271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005025)"
      },
      "parent_node_id": "node_1167",
      "improvement_over_parent": null
    },
    "node_1169": {
      "node_id": "node_1169",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 154.24 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.74e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.24454319672606,
      "fos_buckling": 0.49483236052303736,
      "fos_yielding": 2.147349897308507,
      "deflection": 0.02739411937301038,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004493)"
      },
      "parent_node_id": "node_1168",
      "improvement_over_parent": null
    },
    "node_1170": {
      "node_id": "node_1170",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 177.67 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.38e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.6718451902013,
      "fos_buckling": 0.5585162127895605,
      "fos_yielding": 2.476995742175218,
      "deflection": 0.02383769121819937,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_1169",
      "improvement_over_parent": null
    },
    "node_1171": {
      "node_id": "node_1171",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 224.62 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.62019429452275,
      "fos_buckling": 0.6772383816443118,
      "fos_yielding": 3.14124793736666,
      "deflection": 0.018943185766420154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_1170",
      "improvement_over_parent": null
    },
    "node_1172": {
      "node_id": "node_1172",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 251.76 kg\n  Factor of Safety: 1.46\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.7587178629052,
      "fos_buckling": 1.4616567220808667,
      "fos_yielding": 6.1923011145224605,
      "deflection": 0.011588636160017672,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_1171",
      "improvement_over_parent": null
    },
    "node_1173": {
      "node_id": "node_1173",
      "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.31 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.31167445658008,
      "fos_buckling": 1.5342533312214546,
      "fos_yielding": 7.735580354644774,
      "deflection": 0.011494018967435743,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.305)"
      },
      "parent_node_id": "node_1172",
      "improvement_over_parent": null
    },
    "node_1174": {
      "node_id": "node_1174",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1173",
      "improvement_over_parent": null
    },
    "node_1175": {
      "node_id": "node_1175",
      "content": "INITIAL DESIGN (Trace 168)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 148.99 kg\n  Factor of Safety: 0.43\n  Max Deflection: 6.16e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.98716593728815,
      "fos_buckling": 0.4291068627605147,
      "fos_yielding": 3.0022160500754027,
      "deflection": 0.061644988597148474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1176": {
      "node_id": "node_1176",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n\nPerformance:\n  Mass: 150.65 kg\n  Factor of Safety: 0.59\n  Max Deflection: 3.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.64711302539322,
      "fos_buckling": 0.5941766932256048,
      "fos_yielding": 3.4757335885373752,
      "deflection": 0.03043251749374142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002563)"
      },
      "parent_node_id": "node_1175",
      "improvement_over_parent": null
    },
    "node_1177": {
      "node_id": "node_1177",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n  Mass: 187.66 kg\n  Factor of Safety: 0.71\n  Max Deflection: 2.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.6598705058112,
      "fos_buckling": 0.7149848056093112,
      "fos_yielding": 4.323121340703021,
      "deflection": 0.02456315206426853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_1176",
      "improvement_over_parent": null
    },
    "node_1178": {
      "node_id": "node_1178",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 188.23 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": 188.23213728452183,
      "fos_buckling": 0.714828335062512,
      "fos_yielding": 4.128024055060786,
      "deflection": 0.01650285031171474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001705)"
      },
      "parent_node_id": "node_1177",
      "improvement_over_parent": null
    },
    "node_1179": {
      "node_id": "node_1179",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 190.58 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.57564313015368,
      "fos_buckling": 0.7145081651669177,
      "fos_yielding": 4.1240768259013505,
      "deflection": 0.01609648898485236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.248)"
      },
      "parent_node_id": "node_1178",
      "improvement_over_parent": null
    },
    "node_1180": {
      "node_id": "node_1180",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 234.49 kg\n  Factor of Safety: 0.84\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": 234.49117822509595,
      "fos_buckling": 0.8435546959588317,
      "fos_yielding": 5.041993407348702,
      "deflection": 0.013153726480604757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_1179",
      "improvement_over_parent": null
    },
    "node_1181": {
      "node_id": "node_1181",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.28 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.28265391350038,
      "fos_buckling": 1.5335965787881534,
      "fos_yielding": 7.737608826375088,
      "deflection": 0.011495640765314969,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_1180",
      "improvement_over_parent": null
    },
    "node_1182": {
      "node_id": "node_1182",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1181",
      "improvement_over_parent": null
    },
    "node_1183": {
      "node_id": "node_1183",
      "content": "INITIAL DESIGN (Trace 169)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 196.43 kg\n  Factor of Safety: 1.18\n  Max Deflection: 2.10e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.4303575947432,
      "fos_buckling": 1.1782643830781911,
      "fos_yielding": 8.439583133077026,
      "deflection": 20997588119671.266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1184": {
      "node_id": "node_1184",
      "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 196.69 kg\n  Factor of Safety: 1.18\n  Max Deflection: 2.10e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.69236770817776,
      "fos_buckling": 1.1782643830781911,
      "fos_yielding": 8.439583133077026,
      "deflection": 20997588119671.266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.209)"
      },
      "parent_node_id": "node_1183",
      "improvement_over_parent": null
    },
    "node_1185": {
      "node_id": "node_1185",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 223.83 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.8308912765602,
      "fos_buckling": 0.9168238285276803,
      "fos_yielding": 6.817318866801045,
      "deflection": 0.014874436203657707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_1184",
      "improvement_over_parent": null
    },
    "node_1186": {
      "node_id": "node_1186",
      "content": "MODIFICATION: Increase 11 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0103)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 232.28 kg\n  Factor of Safety: 0.92\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": 232.27729562517465,
      "fos_buckling": 0.9156999410831649,
      "fos_yielding": 6.8089618642436776,
      "deflection": 0.014712154805629669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.520)"
      },
      "parent_node_id": "node_1185",
      "improvement_over_parent": null
    },
    "node_1187": {
      "node_id": "node_1187",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0103)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 255.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.56313522727189,
      "fos_buckling": 1.5397013160006923,
      "fos_yielding": 8.380570392457967,
      "deflection": 0.011426614562679065,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_1186",
      "improvement_over_parent": null
    },
    "node_1188": {
      "node_id": "node_1188",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1187",
      "improvement_over_parent": null
    },
    "node_1189": {
      "node_id": "node_1189",
      "content": "INITIAL DESIGN (Trace 170)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_1190": {
      "node_id": "node_1190",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 214.36 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.36103328134644,
      "fos_buckling": 0.4059800903763004,
      "fos_yielding": 6.4617626897978635,
      "deflection": 0.01642328941470369,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_1189",
      "improvement_over_parent": null
    },
    "node_1191": {
      "node_id": "node_1191",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 233.21 kg\n  Factor of Safety: 0.92\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": 233.20908129665864,
      "fos_buckling": 0.9157960237783777,
      "fos_yielding": 6.809366356839621,
      "deflection": 0.014737915970650224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_1190",
      "improvement_over_parent": null
    },
    "node_1192": {
      "node_id": "node_1192",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47532211756595,
      "fos_buckling": 1.5345835755991575,
      "fos_yielding": 7.744449924388303,
      "deflection": 0.011486871833020086,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_1191",
      "improvement_over_parent": null
    },
    "node_1193": {
      "node_id": "node_1193",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1192",
      "improvement_over_parent": null
    },
    "node_1194": {
      "node_id": "node_1194",
      "content": "INITIAL DESIGN (Trace 171)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 184.84 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.8400569128845,
      "fos_buckling": 0.779684652082526,
      "fos_yielding": 5.615496835244887,
      "deflection": 0.01873835980325309,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1195": {
      "node_id": "node_1195",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 185.42 kg\n  Factor of Safety: 0.78\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": 185.41793041759246,
      "fos_buckling": 0.7796408336597133,
      "fos_yielding": 5.615181243275783,
      "deflection": 0.018739865425439435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001723)"
      },
      "parent_node_id": "node_1194",
      "improvement_over_parent": null
    },
    "node_1196": {
      "node_id": "node_1196",
      "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 191.34 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.33515405965045,
      "fos_buckling": 0.7789684238046278,
      "fos_yielding": 5.610338368142701,
      "deflection": 0.017878186514260867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.410)"
      },
      "parent_node_id": "node_1195",
      "improvement_over_parent": null
    },
    "node_1197": {
      "node_id": "node_1197",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n  Mass: 207.14 kg\n  Factor of Safety: 1.31\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": 207.14122667160743,
      "fos_buckling": 1.3055289271477355,
      "fos_yielding": 6.350710038013851,
      "deflection": 0.013928697163936398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005749)"
      },
      "parent_node_id": "node_1196",
      "improvement_over_parent": null
    },
    "node_1198": {
      "node_id": "node_1198",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.6000785265684,
      "fos_buckling": 1.5351750484447595,
      "fos_yielding": 7.748447335024852,
      "deflection": 0.011481323928253297,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_1197",
      "improvement_over_parent": null
    },
    "node_1199": {
      "node_id": "node_1199",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1198",
      "improvement_over_parent": null
    },
    "node_1200": {
      "node_id": "node_1200",
      "content": "INITIAL DESIGN (Trace 172)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 155.72 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.74e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.71503031466327,
      "fos_buckling": 0.48908218988418084,
      "fos_yielding": 1.971101820453342,
      "deflection": 0.02737033445703952,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1201": {
      "node_id": "node_1201",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n\nPerformance:\n  Mass: 174.53 kg\n  Factor of Safety: 0.97\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": 174.53321038427586,
      "fos_buckling": 0.9667514989587243,
      "fos_yielding": 3.896207383823962,
      "deflection": 0.016628237881016684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005485)"
      },
      "parent_node_id": "node_1200",
      "improvement_over_parent": null
    },
    "node_1202": {
      "node_id": "node_1202",
      "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n\nPerformance:\n  Mass: 175.06 kg\n  Factor of Safety: 1.13\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": 175.05923453318587,
      "fos_buckling": 1.1313252156251403,
      "fos_yielding": 5.362809329740365,
      "deflection": 0.01642112435107923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.451)"
      },
      "parent_node_id": "node_1201",
      "improvement_over_parent": null
    },
    "node_1203": {
      "node_id": "node_1203",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n\nPerformance:\n  Mass: 218.28 kg\n  Factor of Safety: 1.36\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": 218.27930076904062,
      "fos_buckling": 1.3636161037244265,
      "fos_yielding": 6.690176547706446,
      "deflection": 0.013234911241936615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_1202",
      "improvement_over_parent": null
    },
    "node_1204": {
      "node_id": "node_1204",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.26 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.25961946160982,
      "fos_buckling": 1.5334919368430466,
      "fos_yielding": 7.734712131680638,
      "deflection": 0.011496493492198832,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_1203",
      "improvement_over_parent": null
    },
    "node_1205": {
      "node_id": "node_1205",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1204",
      "improvement_over_parent": null
    },
    "node_1206": {
      "node_id": "node_1206",
      "content": "INITIAL DESIGN (Trace 173)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 135.46 kg\n  Factor of Safety: 0.55\n  Max Deflection: 3.25e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.46274200302145,
      "fos_buckling": 0.5529864567482291,
      "fos_yielding": 3.019643855408885,
      "deflection": 0.03248293108245475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1207": {
      "node_id": "node_1207",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n  Mass: 135.89 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.8853954286129,
      "fos_buckling": 0.5528962382542737,
      "fos_yielding": 3.0460057364366397,
      "deflection": 0.022667812640125753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001235)"
      },
      "parent_node_id": "node_1206",
      "improvement_over_parent": null
    },
    "node_1208": {
      "node_id": "node_1208",
      "content": "MODIFICATION: Increase 10 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n  Mass: 141.81 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.21e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.8129114579317,
      "fos_buckling": 0.5525801526532218,
      "fos_yielding": 3.029271773514218,
      "deflection": 0.022120448362403636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.458)"
      },
      "parent_node_id": "node_1207",
      "improvement_over_parent": null
    },
    "node_1209": {
      "node_id": "node_1209",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n\nPerformance:\n  Mass: 149.44 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.4412195528601,
      "fos_buckling": 0.8363774014051917,
      "fos_yielding": 4.0745090527782075,
      "deflection": 0.01961425870100304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.002683)"
      },
      "parent_node_id": "node_1208",
      "improvement_over_parent": null
    },
    "node_1210": {
      "node_id": "node_1210",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0083)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n\nPerformance:\n  Mass: 191.94 kg\n  Factor of Safety: 1.05\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": 191.93523584013627,
      "fos_buckling": 1.0511952726709595,
      "fos_yielding": 5.247247121457119,
      "deflection": 0.015335787298760742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_1209",
      "improvement_over_parent": null
    },
    "node_1211": {
      "node_id": "node_1211",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0099)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n  Mass: 225.24 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.24419918417408,
      "fos_buckling": 1.2124386334618709,
      "fos_yielding": 6.171711911083791,
      "deflection": 0.013110325951956835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_1210",
      "improvement_over_parent": null
    },
    "node_1212": {
      "node_id": "node_1212",
      "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0099)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n  Mass: 225.48 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.48124787564637,
      "fos_buckling": 1.2126834967938482,
      "fos_yielding": 6.193066053834412,
      "deflection": 0.01310570651907285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.420)"
      },
      "parent_node_id": "node_1211",
      "improvement_over_parent": null
    },
    "node_1213": {
      "node_id": "node_1213",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0110)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0030)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n  Mass: 249.01 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.01167374747948,
      "fos_buckling": 1.3227148326514806,
      "fos_yielding": 6.850559458756769,
      "deflection": 0.011894061245703812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_1212",
      "improvement_over_parent": null
    },
    "node_1214": {
      "node_id": "node_1214",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1213",
      "improvement_over_parent": null
    },
    "node_1215": {
      "node_id": "node_1215",
      "content": "INITIAL DESIGN (Trace 174)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 178.66 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.17e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.66464289060715,
      "fos_buckling": 0.36452263982486544,
      "fos_yielding": 1.0720017273341576,
      "deflection": 0.031685435484056286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1216": {
      "node_id": "node_1216",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 226.20 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.52e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.20334600897078,
      "fos_buckling": 0.44262234576909426,
      "fos_yielding": 1.3565016109301542,
      "deflection": 0.02516326858866622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_1215",
      "improvement_over_parent": null
    },
    "node_1217": {
      "node_id": "node_1217",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 251.33 kg\n  Factor of Safety: 1.22\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": 251.32548766081763,
      "fos_buckling": 1.2174522929955278,
      "fos_yielding": 5.0168073860677165,
      "deflection": 0.011693843832166382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_1216",
      "improvement_over_parent": null
    },
    "node_1218": {
      "node_id": "node_1218",
      "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 251.47 kg\n  Factor of Safety: 1.22\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": 251.4744844181042,
      "fos_buckling": 1.2218637531042382,
      "fos_yielding": 5.034985877154433,
      "deflection": 0.011690280280687072,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.335)"
      },
      "parent_node_id": "node_1217",
      "improvement_over_parent": null
    },
    "node_1219": {
      "node_id": "node_1219",
      "content": "MODIFICATION: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.19 kg\n  Factor of Safety: 1.22\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": 252.18796037912662,
      "fos_buckling": 1.2229901417269309,
      "fos_yielding": 5.03962743460553,
      "deflection": 0.011663295301134406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.504)"
      },
      "parent_node_id": "node_1218",
      "improvement_over_parent": null
    },
    "node_1220": {
      "node_id": "node_1220",
      "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.33 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.33175215476112,
      "fos_buckling": 1.225825885521385,
      "fos_yielding": 5.051312804533257,
      "deflection": 0.011661226646618006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.253)"
      },
      "parent_node_id": "node_1219",
      "improvement_over_parent": null
    },
    "node_1221": {
      "node_id": "node_1221",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1220",
      "improvement_over_parent": null
    },
    "node_1222": {
      "node_id": "node_1222",
      "content": "INITIAL DESIGN (Trace 175)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n  Mass: 165.88 kg\n  Factor of Safety: 0.27\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": 165.8808682432273,
      "fos_buckling": 0.26545809143268945,
      "fos_yielding": 3.977973441225396,
      "deflection": 0.0217478746275899,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1223": {
      "node_id": "node_1223",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 176.35 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.3513349283961,
      "fos_buckling": 0.7557338996038799,
      "fos_yielding": 5.4148707252952235,
      "deflection": 0.01927137950131031,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003642)"
      },
      "parent_node_id": "node_1222",
      "improvement_over_parent": null
    },
    "node_1224": {
      "node_id": "node_1224",
      "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 176.45 kg\n  Factor of Safety: 0.76\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": 176.44641681081646,
      "fos_buckling": 0.7557269072180856,
      "fos_yielding": 5.414820624505573,
      "deflection": 0.019271623058703412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.221)"
      },
      "parent_node_id": "node_1223",
      "improvement_over_parent": null
    },
    "node_1225": {
      "node_id": "node_1225",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 191.68 kg\n  Factor of Safety: 1.06\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": 191.67926069056145,
      "fos_buckling": 1.057592867753842,
      "fos_yielding": 5.928649056897021,
      "deflection": 0.015199536452859815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005525)"
      },
      "parent_node_id": "node_1224",
      "improvement_over_parent": null
    },
    "node_1226": {
      "node_id": "node_1226",
      "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 195.39 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.39375556429138,
      "fos_buckling": 1.0671606889614478,
      "fos_yielding": 6.149500314226806,
      "deflection": 0.014646579115464709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.235)"
      },
      "parent_node_id": "node_1225",
      "improvement_over_parent": null
    },
    "node_1227": {
      "node_id": "node_1227",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 215.98 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.9848190755973,
      "fos_buckling": 1.1649823547978626,
      "fos_yielding": 6.798086433018993,
      "deflection": 0.013282221910297445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_1226",
      "improvement_over_parent": null
    },
    "node_1228": {
      "node_id": "node_1228",
      "content": "MODIFICATION: Increase 15 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0088)]\n\nPerformance:\n  Mass: 222.49 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.49391955291543,
      "fos_buckling": 1.1647954064160808,
      "fos_yielding": 6.508745697732785,
      "deflection": 0.013037547042221393,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.435)"
      },
      "parent_node_id": "node_1227",
      "improvement_over_parent": null
    },
    "node_1229": {
      "node_id": "node_1229",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n\nPerformance:\n  Mass: 254.58 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.58355965789949,
      "fos_buckling": 1.308220077802018,
      "fos_yielding": 7.456714573915625,
      "deflection": 0.011433245645604289,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_1228",
      "improvement_over_parent": null
    },
    "node_1230": {
      "node_id": "node_1230",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 176)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 180.65 kg\n  Factor of Safety: 0.56\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": 180.6537915015837,
      "fos_buckling": 0.5591359996250391,
      "fos_yielding": 3.996571167780812,
      "deflection": 0.020395441563361923,
      "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 4 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 184.63 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.6336692632858,
      "fos_buckling": 0.5590278503194309,
      "fos_yielding": 3.995798142261261,
      "deflection": 0.02016599136930234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.499)"
      },
      "parent_node_id": "node_1231",
      "improvement_over_parent": null
    },
    "node_1233": {
      "node_id": "node_1233",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 216.05 kg\n  Factor of Safety: 0.64\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": 216.0515541942918,
      "fos_buckling": 0.6442418211507336,
      "fos_yielding": 4.68230721020005,
      "deflection": 0.017268798472573663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_1232",
      "improvement_over_parent": null
    },
    "node_1234": {
      "node_id": "node_1234",
      "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 218.93 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.93013231962644,
      "fos_buckling": 0.644151994920213,
      "fos_yielding": 4.681654359060892,
      "deflection": 0.01711600697107629,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.379)"
      },
      "parent_node_id": "node_1233",
      "improvement_over_parent": null
    },
    "node_1235": {
      "node_id": "node_1235",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 219.63 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.63445316654747,
      "fos_buckling": 0.6441080472856486,
      "fos_yielding": 4.68133495054155,
      "deflection": 0.017112713001220525,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_1234",
      "improvement_over_parent": null
    },
    "node_1236": {
      "node_id": "node_1236",
      "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0118)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 230.83 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.82696481805274,
      "fos_buckling": 0.6434104700745642,
      "fos_yielding": 4.67626500522304,
      "deflection": 0.017130866414027116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.560)"
      },
      "parent_node_id": "node_1235",
      "improvement_over_parent": null
    },
    "node_1237": {
      "node_id": "node_1237",
      "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0118)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 235.27 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.27292565600658,
      "fos_buckling": 0.6432721018532822,
      "fos_yielding": 4.675259354085686,
      "deflection": 0.01698204677000268,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.445)"
      },
      "parent_node_id": "node_1236",
      "improvement_over_parent": null
    },
    "node_1238": {
      "node_id": "node_1238",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0118)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 254.54 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.5391664769139,
      "fos_buckling": 1.2887029010737965,
      "fos_yielding": 6.715483767482524,
      "deflection": 0.011816910102490178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_1237",
      "improvement_over_parent": null
    },
    "node_1239": {
      "node_id": "node_1239",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1238",
      "improvement_over_parent": null
    },
    "node_1240": {
      "node_id": "node_1240",
      "content": "INITIAL DESIGN (Trace 177)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 215.15 kg\n  Factor of Safety: 1.04\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": 215.15073581902254,
      "fos_buckling": 1.0441052887461275,
      "fos_yielding": 6.821760479298537,
      "deflection": 0.013240569762579622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1241": {
      "node_id": "node_1241",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 237.97 kg\n  Factor of Safety: 1.14\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": 237.96537405720045,
      "fos_buckling": 1.1409559964798823,
      "fos_yielding": 7.5460923004620275,
      "deflection": 0.01200263432112467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1240",
      "improvement_over_parent": null
    },
    "node_1242": {
      "node_id": "node_1242",
      "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 243.74 kg\n  Factor of Safety: 1.29\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": 243.7408874512391,
      "fos_buckling": 1.287022681537166,
      "fos_yielding": 7.503350206338744,
      "deflection": 0.011747760658102131,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.658)"
      },
      "parent_node_id": "node_1241",
      "improvement_over_parent": null
    },
    "node_1243": {
      "node_id": "node_1243",
      "content": "MODIFICATION: Increase 13 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 247.62 kg\n  Factor of Safety: 1.27\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": 247.62384150862522,
      "fos_buckling": 1.2747181347912815,
      "fos_yielding": 7.707279074085899,
      "deflection": 0.011635030764190516,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.285)"
      },
      "parent_node_id": "node_1242",
      "improvement_over_parent": null
    },
    "node_1244": {
      "node_id": "node_1244",
      "content": "MODIFICATION: Increase 5 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.50313083113488,
      "fos_buckling": 1.5347958372555395,
      "fos_yielding": 7.745515997018029,
      "deflection": 0.011485304966213857,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.543)"
      },
      "parent_node_id": "node_1243",
      "improvement_over_parent": null
    },
    "node_1245": {
      "node_id": "node_1245",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1244",
      "improvement_over_parent": null
    },
    "node_1246": {
      "node_id": "node_1246",
      "content": "INITIAL DESIGN (Trace 178)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n  Mass: 155.06 kg\n  Factor of Safety: 0.13\n  Max Deflection: 4.60e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.06025945322392,
      "fos_buckling": 0.12822767225959644,
      "fos_yielding": 1.9532337933552586,
      "deflection": 0.04604123608085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1247": {
      "node_id": "node_1247",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n\nPerformance:\n  Mass: 156.97 kg\n  Factor of Safety: 0.13\n  Max Deflection: 2.18e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.97225837469605,
      "fos_buckling": 0.12817984818614192,
      "fos_yielding": 1.9525053110022592,
      "deflection": 0.02183823084393156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002979)"
      },
      "parent_node_id": "node_1246",
      "improvement_over_parent": null
    },
    "node_1248": {
      "node_id": "node_1248",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n\nPerformance:\n  Mass: 171.13 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.1269412547941,
      "fos_buckling": 0.35709182685378577,
      "fos_yielding": 4.434409368645958,
      "deflection": 0.018504080461151894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004977)"
      },
      "parent_node_id": "node_1247",
      "improvement_over_parent": null
    },
    "node_1249": {
      "node_id": "node_1249",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 185.11 kg\n  Factor of Safety: 1.20\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": 185.10646001267557,
      "fos_buckling": 1.2030528774501237,
      "fos_yielding": 5.4648147292645,
      "deflection": 0.01580666977984919,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004946)"
      },
      "parent_node_id": "node_1248",
      "improvement_over_parent": null
    },
    "node_1250": {
      "node_id": "node_1250",
      "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 189.61 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.60590141183016,
      "fos_buckling": 1.2116970960272033,
      "fos_yielding": 5.811037764264328,
      "deflection": 0.015186602677696233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.389)"
      },
      "parent_node_id": "node_1249",
      "improvement_over_parent": null
    },
    "node_1251": {
      "node_id": "node_1251",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 223.88 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.87620095134923,
      "fos_buckling": 1.3925338093213742,
      "fos_yielding": 6.864051082976669,
      "deflection": 0.012912310533221989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_1250",
      "improvement_over_parent": null
    },
    "node_1252": {
      "node_id": "node_1252",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.40 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.40194639943576,
      "fos_buckling": 1.534363686591779,
      "fos_yielding": 7.741185663353148,
      "deflection": 0.011490228884197737,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_1251",
      "improvement_over_parent": null
    },
    "node_1253": {
      "node_id": "node_1253",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1252",
      "improvement_over_parent": null
    },
    "node_1254": {
      "node_id": "node_1254",
      "content": "INITIAL DESIGN (Trace 179)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 236.58 kg\n  Factor of Safety: 0.84\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": 236.57546284180958,
      "fos_buckling": 0.8438080602998033,
      "fos_yielding": 3.34045974947597,
      "deflection": 0.013481545090244575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1255": {
      "node_id": "node_1255",
      "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 236.82 kg\n  Factor of Safety: 0.84\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": 236.81979112486366,
      "fos_buckling": 0.8437299285782184,
      "fos_yielding": 4.768865056515945,
      "deflection": 0.013360278154208002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.582)"
      },
      "parent_node_id": "node_1254",
      "improvement_over_parent": null
    },
    "node_1256": {
      "node_id": "node_1256",
      "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 237.75 kg\n  Factor of Safety: 0.84\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": 237.74767267804867,
      "fos_buckling": 0.8435816086081582,
      "fos_yielding": 5.0031654706792175,
      "deflection": 0.013148808702977235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.629)"
      },
      "parent_node_id": "node_1255",
      "improvement_over_parent": null
    },
    "node_1257": {
      "node_id": "node_1257",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47218028670625,
      "fos_buckling": 1.5345368994882984,
      "fos_yielding": 7.741194261586679,
      "deflection": 0.011487098252790793,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_1256",
      "improvement_over_parent": null
    },
    "node_1258": {
      "node_id": "node_1258",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1257",
      "improvement_over_parent": null
    },
    "node_1259": {
      "node_id": "node_1259",
      "content": "INITIAL DESIGN (Trace 180)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 209.36 kg\n  Factor of Safety: 1.23\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": 209.36357230564428,
      "fos_buckling": 1.2349777239856754,
      "fos_yielding": 6.7254300833317595,
      "deflection": 0.01372215944478818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1260": {
      "node_id": "node_1260",
      "content": "MODIFICATION: Increase 12 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 214.17 kg\n  Factor of Safety: 1.23\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": 214.17045754267488,
      "fos_buckling": 1.2315560130651684,
      "fos_yielding": 6.451476928773598,
      "deflection": 0.013570371540474097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.543)"
      },
      "parent_node_id": "node_1259",
      "improvement_over_parent": null
    },
    "node_1261": {
      "node_id": "node_1261",
      "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 217.60 kg\n  Factor of Safety: 1.36\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": 217.60290627128154,
      "fos_buckling": 1.3601334350635914,
      "fos_yielding": 6.671960517194647,
      "deflection": 0.01327501703710552,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.186)"
      },
      "parent_node_id": "node_1260",
      "improvement_over_parent": null
    },
    "node_1262": {
      "node_id": "node_1262",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4662220615085,
      "fos_buckling": 1.5345072002941578,
      "fos_yielding": 7.743998866606137,
      "deflection": 0.011487348213946045,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_1261",
      "improvement_over_parent": null
    },
    "node_1263": {
      "node_id": "node_1263",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1262",
      "improvement_over_parent": null
    },
    "node_1264": {
      "node_id": "node_1264",
      "content": "INITIAL DESIGN (Trace 181)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 174.74 kg\n  Factor of Safety: 0.35\n  Max Deflection: 2.56e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.7406868580744,
      "fos_buckling": 0.3453225569832276,
      "fos_yielding": 2.2812600479636163,
      "deflection": 0.025557872700913843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1265": {
      "node_id": "node_1265",
      "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 178.29 kg\n  Factor of Safety: 0.35\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": 178.28575752040015,
      "fos_buckling": 0.34520148256692307,
      "fos_yielding": 2.2793028934833024,
      "deflection": 0.02435197125207589,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.227)"
      },
      "parent_node_id": "node_1264",
      "improvement_over_parent": null
    },
    "node_1266": {
      "node_id": "node_1266",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n  Mass: 202.14 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.13753512406655,
      "fos_buckling": 0.344389077431444,
      "fos_yielding": 4.781978602596703,
      "deflection": 0.015406736138390597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007074)"
      },
      "parent_node_id": "node_1265",
      "improvement_over_parent": null
    },
    "node_1267": {
      "node_id": "node_1267",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n  Mass: 218.70 kg\n  Factor of Safety: 1.17\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": 218.70178109062797,
      "fos_buckling": 1.1678937352215875,
      "fos_yielding": 5.723134842950736,
      "deflection": 0.013218498228782606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005895)"
      },
      "parent_node_id": "node_1266",
      "improvement_over_parent": null
    },
    "node_1268": {
      "node_id": "node_1268",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 249.00 kg\n  Factor of Safety: 1.31\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": 248.99654616602547,
      "fos_buckling": 1.3094783730590733,
      "fos_yielding": 6.508493717224545,
      "deflection": 0.011650550916438704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_1267",
      "improvement_over_parent": null
    },
    "node_1269": {
      "node_id": "node_1269",
      "content": "MODIFICATION: Increase 15 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0081)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.3560808542718,
      "fos_buckling": 1.307114557297111,
      "fos_yielding": 6.49674485572982,
      "deflection": 0.011577009997282686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.200)"
      },
      "parent_node_id": "node_1268",
      "improvement_over_parent": null
    },
    "node_1270": {
      "node_id": "node_1270",
      "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0081)]\n\nPerformance:\n  Mass: 253.06 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.06446599199273,
      "fos_buckling": 1.450803738152326,
      "fos_yielding": 7.906677104320025,
      "deflection": 0.01148571825022124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.546)"
      },
      "parent_node_id": "node_1269",
      "improvement_over_parent": null
    },
    "node_1271": {
      "node_id": "node_1271",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1270",
      "improvement_over_parent": null
    },
    "node_1272": {
      "node_id": "node_1272",
      "content": "INITIAL DESIGN (Trace 182)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 201.11 kg\n  Factor of Safety: 1.22\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": 201.1065879254223,
      "fos_buckling": 1.222818283103092,
      "fos_yielding": 6.5806485902580825,
      "deflection": 0.014146322281670528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1273": {
      "node_id": "node_1273",
      "content": "MODIFICATION: Increase 12 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.21\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": 204.77163086895195,
      "fos_buckling": 1.2108600410117394,
      "fos_yielding": 6.372466544494937,
      "deflection": 0.014026898273610776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.393)"
      },
      "parent_node_id": "node_1272",
      "improvement_over_parent": null
    },
    "node_1274": {
      "node_id": "node_1274",
      "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 204.97 kg\n  Factor of Safety: 1.22\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": 204.96735225412547,
      "fos_buckling": 1.2206663847485155,
      "fos_yielding": 6.375377140414793,
      "deflection": 0.014007826866243446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.183)"
      },
      "parent_node_id": "node_1273",
      "improvement_over_parent": null
    },
    "node_1275": {
      "node_id": "node_1275",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 249.44 kg\n  Factor of Safety: 1.44\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": 249.44191501815985,
      "fos_buckling": 1.437961741513556,
      "fos_yielding": 7.760912575194222,
      "deflection": 0.01156998952589642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_1274",
      "improvement_over_parent": null
    },
    "node_1276": {
      "node_id": "node_1276",
      "content": "MODIFICATION: Increase 15 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.44 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.44336214399397,
      "fos_buckling": 1.534330007582311,
      "fos_yielding": 7.7427394865668955,
      "deflection": 0.011488662056108578,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.211)"
      },
      "parent_node_id": "node_1275",
      "improvement_over_parent": null
    },
    "node_1277": {
      "node_id": "node_1277",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 218.26 kg\n  Factor of Safety: 0.50\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": 218.26438973358404,
      "fos_buckling": 0.4984323696719166,
      "fos_yielding": 5.8384490594676315,
      "deflection": 0.014399723618775192,
      "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: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 236.88 kg\n  Factor of Safety: 1.46\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": 236.87991578995135,
      "fos_buckling": 1.464365184659589,
      "fos_yielding": 7.559945203994645,
      "deflection": 0.01239337426444776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_1278",
      "improvement_over_parent": null
    },
    "node_1280": {
      "node_id": "node_1280",
      "content": "MODIFICATION: Increase 12 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 241.45 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.23e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 241.44679147636433,
      "fos_buckling": 1.5405984346814015,
      "fos_yielding": 7.326595816180724,
      "deflection": 0.012294412830262858,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.414)"
      },
      "parent_node_id": "node_1279",
      "improvement_over_parent": null
    },
    "node_1281": {
      "node_id": "node_1281",
      "content": "MODIFICATION: Increase 0 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 248.95 kg\n  Factor of Safety: 1.49\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": 248.94734763408076,
      "fos_buckling": 1.4908096113384706,
      "fos_yielding": 7.9661419449831135,
      "deflection": 0.011626130602014853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.550)"
      },
      "parent_node_id": "node_1280",
      "improvement_over_parent": null
    },
    "node_1282": {
      "node_id": "node_1282",
      "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47241600771378,
      "fos_buckling": 1.5344509189284141,
      "fos_yielding": 7.745028169390854,
      "deflection": 0.011486887119541376,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.196)"
      },
      "parent_node_id": "node_1281",
      "improvement_over_parent": null
    },
    "node_1283": {
      "node_id": "node_1283",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1282",
      "improvement_over_parent": null
    },
    "node_1284": {
      "node_id": "node_1284",
      "content": "INITIAL DESIGN (Trace 184)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 181.97 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.96998747747173,
      "fos_buckling": 0.6992997580650941,
      "fos_yielding": 3.9611958148268402,
      "deflection": 0.017345124779392956,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1285": {
      "node_id": "node_1285",
      "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 188.08 kg\n  Factor of Safety: 0.70\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": 188.0786591597638,
      "fos_buckling": 0.6988913537792962,
      "fos_yielding": 3.9921549994415524,
      "deflection": 0.016518419266827823,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.562)"
      },
      "parent_node_id": "node_1284",
      "improvement_over_parent": null
    },
    "node_1286": {
      "node_id": "node_1286",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n  Mass: 199.73 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.7272717576995,
      "fos_buckling": 1.2661151928060714,
      "fos_yielding": 6.122938250807188,
      "deflection": 0.014433451982559188,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004833)"
      },
      "parent_node_id": "node_1285",
      "improvement_over_parent": null
    },
    "node_1287": {
      "node_id": "node_1287",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.48774873669717,
      "fos_buckling": 1.5345660158412944,
      "fos_yielding": 7.74505511808793,
      "deflection": 0.01148624235675243,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_1286",
      "improvement_over_parent": null
    },
    "node_1288": {
      "node_id": "node_1288",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1287",
      "improvement_over_parent": null
    },
    "node_1289": {
      "node_id": "node_1289",
      "content": "INITIAL DESIGN (Trace 185)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 193.69 kg\n  Factor of Safety: 1.26\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": 193.6930693928032,
      "fos_buckling": 1.255117529838089,
      "fos_yielding": 5.808334764904092,
      "deflection": 0.01523121451344241,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1290": {
      "node_id": "node_1290",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 215.55 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.54578058466709,
      "fos_buckling": 1.372196939831355,
      "fos_yielding": 6.465590018097345,
      "deflection": 0.013717741643441571,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_1289",
      "improvement_over_parent": null
    },
    "node_1291": {
      "node_id": "node_1291",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 247.00 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.20e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 246.99848439224382,
      "fos_buckling": 1.532202694992374,
      "fos_yielding": 7.412403617324063,
      "deflection": 0.012009333369467773,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_1290",
      "improvement_over_parent": null
    },
    "node_1292": {
      "node_id": "node_1292",
      "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46139999912867,
      "fos_buckling": 1.5344761461593348,
      "fos_yielding": 7.744282987898466,
      "deflection": 0.011487206492434758,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.290)"
      },
      "parent_node_id": "node_1291",
      "improvement_over_parent": null
    },
    "node_1293": {
      "node_id": "node_1293",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1292",
      "improvement_over_parent": null
    },
    "node_1294": {
      "node_id": "node_1294",
      "content": "INITIAL DESIGN (Trace 186)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 159.58 kg\n  Factor of Safety: 0.62\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": 159.5811611590373,
      "fos_buckling": 0.6225465748547195,
      "fos_yielding": 3.892969505749661,
      "deflection": 0.019146228730435418,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1295": {
      "node_id": "node_1295",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 205.88 kg\n  Factor of Safety: 0.77\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": 205.88077975508295,
      "fos_buckling": 0.7689531075468893,
      "fos_yielding": 4.966038522621603,
      "deflection": 0.014926709790539078,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_1294",
      "improvement_over_parent": null
    },
    "node_1296": {
      "node_id": "node_1296",
      "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 211.07 kg\n  Factor of Safety: 0.77\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": 211.06515889181736,
      "fos_buckling": 0.7678145926857055,
      "fos_yielding": 4.460833726464356,
      "deflection": 0.014762299515150549,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.486)"
      },
      "parent_node_id": "node_1295",
      "improvement_over_parent": null
    },
    "node_1297": {
      "node_id": "node_1297",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n  Mass: 224.13 kg\n  Factor of Safety: 1.39\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": 224.13126743496483,
      "fos_buckling": 1.3936834334059958,
      "fos_yielding": 6.873186755957138,
      "deflection": 0.012897941839068056,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005471)"
      },
      "parent_node_id": "node_1296",
      "improvement_over_parent": null
    },
    "node_1298": {
      "node_id": "node_1298",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.48423969425576,
      "fos_buckling": 1.5345967213629736,
      "fos_yielding": 7.745158939464503,
      "deflection": 0.011486550284262478,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_1297",
      "improvement_over_parent": null
    },
    "node_1299": {
      "node_id": "node_1299",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1298",
      "improvement_over_parent": null
    },
    "node_1300": {
      "node_id": "node_1300",
      "content": "INITIAL DESIGN (Trace 187)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0016)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 129.53 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.84e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.52527615838756,
      "fos_buckling": 0.26195841474331905,
      "fos_yielding": 2.5642803468444932,
      "deflection": 0.028392532108609342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1301": {
      "node_id": "node_1301",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0016)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 142.02 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.32e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.0223953802597,
      "fos_buckling": 0.2616347702009673,
      "fos_yielding": 2.561112228194328,
      "deflection": 0.023159586416273338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004474)"
      },
      "parent_node_id": "node_1300",
      "improvement_over_parent": null
    },
    "node_1302": {
      "node_id": "node_1302",
      "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0038)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0016)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 142.80 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.30e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.80319255013515,
      "fos_buckling": 0.2616347702009673,
      "fos_yielding": 2.561112228194328,
      "deflection": 0.02304925622340766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.621)"
      },
      "parent_node_id": "node_1301",
      "improvement_over_parent": null
    },
    "node_1303": {
      "node_id": "node_1303",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0038)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0016)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n\nPerformance:\n  Mass: 153.62 kg\n  Factor of Safety: 0.65\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": 153.61561123984893,
      "fos_buckling": 0.6488610523419612,
      "fos_yielding": 4.390500264610633,
      "deflection": 0.01850614100723177,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004005)"
      },
      "parent_node_id": "node_1302",
      "improvement_over_parent": null
    },
    "node_1304": {
      "node_id": "node_1304",
      "content": "MODIFICATION: Increase 13 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0038)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0016)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0070)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n\nPerformance:\n  Mass: 160.78 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.78193027861087,
      "fos_buckling": 0.6568938174659105,
      "fos_yielding": 4.377069776265027,
      "deflection": 0.018163473778127152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.653)"
      },
      "parent_node_id": "node_1303",
      "improvement_over_parent": null
    },
    "node_1305": {
      "node_id": "node_1305",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0020)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0087)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n  Mass: 197.16 kg\n  Factor of Safety: 0.80\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": 197.15607199896615,
      "fos_buckling": 0.8015859987979339,
      "fos_yielding": 5.38132417547608,
      "deflection": 0.01485460598551856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_1304",
      "improvement_over_parent": null
    },
    "node_1306": {
      "node_id": "node_1306",
      "content": "MODIFICATION: Increase 13 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0020)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0138)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n  Mass: 208.31 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.31007725273759,
      "fos_buckling": 0.8081735651339089,
      "fos_yielding": 5.371715710703449,
      "deflection": 0.014687184145600064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.590)"
      },
      "parent_node_id": "node_1305",
      "improvement_over_parent": null
    },
    "node_1307": {
      "node_id": "node_1307",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0060)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0026)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0177)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 260.23 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.2318009128033,
      "fos_buckling": 1.0074414476471676,
      "fos_yielding": 6.769594057101033,
      "deflection": 0.011752832027537883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_1306",
      "improvement_over_parent": null
    },
    "node_1308": {
      "node_id": "node_1308",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1307",
      "improvement_over_parent": null
    },
    "node_1309": {
      "node_id": "node_1309",
      "content": "INITIAL DESIGN (Trace 188)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 125.42 kg\n  Factor of Safety: 0.06\n  Max Deflection: 4.02e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.41799670739613,
      "fos_buckling": 0.05636271263829691,
      "fos_yielding": 0.8474577543759946,
      "deflection": 40151711944857.47,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1310": {
      "node_id": "node_1310",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 143.72 kg\n  Factor of Safety: 0.26\n  Max Deflection: 7.44e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.7193014793198,
      "fos_buckling": 0.26280865576961826,
      "fos_yielding": 1.632005359118354,
      "deflection": 74390516681724.34,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_1309",
      "improvement_over_parent": null
    },
    "node_1311": {
      "node_id": "node_1311",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n\nPerformance:\n  Mass: 156.62 kg\n  Factor of Safety: 0.33\n  Max Deflection: 2.32e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.62077007556894,
      "fos_buckling": 0.3276522963581486,
      "fos_yielding": 4.082762339292277,
      "deflection": 0.023150534920614908,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004834)"
      },
      "parent_node_id": "node_1310",
      "improvement_over_parent": null
    },
    "node_1312": {
      "node_id": "node_1312",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n  Mass: 171.21 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.20787129628619,
      "fos_buckling": 0.7421162080527156,
      "fos_yielding": 5.301443607167446,
      "deflection": 0.019946286020509685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005140)"
      },
      "parent_node_id": "node_1311",
      "improvement_over_parent": null
    },
    "node_1313": {
      "node_id": "node_1313",
      "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n  Mass: 177.29 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.29169654314123,
      "fos_buckling": 0.7414572154287503,
      "fos_yielding": 5.296735972169609,
      "deflection": 0.018934469106969182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.488)"
      },
      "parent_node_id": "node_1312",
      "improvement_over_parent": null
    },
    "node_1314": {
      "node_id": "node_1314",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 229.14 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.141674255029,
      "fos_buckling": 0.9159436238290162,
      "fos_yielding": 6.810116475157372,
      "deflection": 0.0147367782330335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_1313",
      "improvement_over_parent": null
    },
    "node_1315": {
      "node_id": "node_1315",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.42751385712623,
      "fos_buckling": 1.534306203508063,
      "fos_yielding": 7.742096986297927,
      "deflection": 0.011489576079752106,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_1314",
      "improvement_over_parent": null
    },
    "node_1316": {
      "node_id": "node_1316",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1315",
      "improvement_over_parent": null
    },
    "node_1317": {
      "node_id": "node_1317",
      "content": "INITIAL DESIGN (Trace 189)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 191.51 kg\n  Factor of Safety: 0.29\n  Max Deflection: 5.38e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.50902775286804,
      "fos_buckling": 0.2942425160648998,
      "fos_yielding": 1.6949155087519892,
      "deflection": 53845875493027.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1318": {
      "node_id": "node_1318",
      "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 192.06 kg\n  Factor of Safety: 0.29\n  Max Deflection: 5.38e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.05963291515613,
      "fos_buckling": 0.2942425160648998,
      "fos_yielding": 1.6949155087519892,
      "deflection": 53845875493027.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.555)"
      },
      "parent_node_id": "node_1317",
      "improvement_over_parent": null
    },
    "node_1319": {
      "node_id": "node_1319",
      "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 197.73 kg\n  Factor of Safety: 0.09\n  Max Deflection: 6.79e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.73011365333642,
      "fos_buckling": 0.09451216535691528,
      "fos_yielding": 0.4237288771879973,
      "deflection": 67867964571674.7,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.565)"
      },
      "parent_node_id": "node_1318",
      "improvement_over_parent": null
    },
    "node_1320": {
      "node_id": "node_1320",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n  Mass: 199.78 kg\n  Factor of Safety: 0.20\n  Max Deflection: 4.95e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.78175936836814,
      "fos_buckling": 0.19919427437565068,
      "fos_yielding": 0.8474577543759946,
      "deflection": 49534186901766.195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003213)"
      },
      "parent_node_id": "node_1319",
      "improvement_over_parent": null
    },
    "node_1321": {
      "node_id": "node_1321",
      "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n  Mass: 207.29 kg\n  Factor of Safety: 0.11\n  Max Deflection: 5.36e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.28940686305626,
      "fos_buckling": 0.10648827331739273,
      "fos_yielding": 1.6949155087519892,
      "deflection": 53577882608701.62,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.488)"
      },
      "parent_node_id": "node_1320",
      "improvement_over_parent": null
    },
    "node_1322": {
      "node_id": "node_1322",
      "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n  Mass: 207.45 kg\n  Factor of Safety: 0.24\n  Max Deflection: 9.16e+13 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.45400572035925,
      "fos_buckling": 0.2405385668664576,
      "fos_yielding": 0.4237288771879973,
      "deflection": 91589729987910.12,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.264)"
      },
      "parent_node_id": "node_1321",
      "improvement_over_parent": null
    },
    "node_1323": {
      "node_id": "node_1323",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 234.59 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.5925292887417,
      "fos_buckling": 0.9162649555895952,
      "fos_yielding": 6.81316319926013,
      "deflection": 0.014806326700459768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_1322",
      "improvement_over_parent": null
    },
    "node_1324": {
      "node_id": "node_1324",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 253.86 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.85877010964902,
      "fos_buckling": 1.252276238880511,
      "fos_yielding": 6.105160384794438,
      "deflection": 0.011654028139135712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_1323",
      "improvement_over_parent": null
    },
    "node_1325": {
      "node_id": "node_1325",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1324",
      "improvement_over_parent": null
    },
    "node_1326": {
      "node_id": "node_1326",
      "content": "INITIAL DESIGN (Trace 190)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 151.63 kg\n  Factor of Safety: 0.53\n  Max Deflection: 2.70e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.63262700312742,
      "fos_buckling": 0.5316335585941246,
      "fos_yielding": 2.7774231738924837,
      "deflection": 0.02699641425067299,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1327": {
      "node_id": "node_1327",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 177.73 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.31e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.72898780121935,
      "fos_buckling": 0.6077072606635515,
      "fos_yielding": 3.2639827336347174,
      "deflection": 0.023086294638177386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_1326",
      "improvement_over_parent": null
    },
    "node_1328": {
      "node_id": "node_1328",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n\nPerformance:\n  Mass: 192.26 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.17e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.26196634660909,
      "fos_buckling": 0.6064199142363436,
      "fos_yielding": 3.392222554505548,
      "deflection": 0.021738209392714047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005496)"
      },
      "parent_node_id": "node_1327",
      "improvement_over_parent": null
    },
    "node_1329": {
      "node_id": "node_1329",
      "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n\nPerformance:\n  Mass: 196.21 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.12e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.2124175225374,
      "fos_buckling": 0.6060709213933779,
      "fos_yielding": 3.390281354724585,
      "deflection": 0.02124123104331107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.227)"
      },
      "parent_node_id": "node_1328",
      "improvement_over_parent": null
    },
    "node_1330": {
      "node_id": "node_1330",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n  Mass: 219.87 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.87442694359638,
      "fos_buckling": 1.3727867099244464,
      "fos_yielding": 6.7165565000155185,
      "deflection": 0.013132324822547363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007013)"
      },
      "parent_node_id": "node_1329",
      "improvement_over_parent": null
    },
    "node_1331": {
      "node_id": "node_1331",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.10 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.1001653687901,
      "fos_buckling": 1.5337236045482112,
      "fos_yielding": 7.704058165430395,
      "deflection": 0.011495757313528235,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1330",
      "improvement_over_parent": null
    },
    "node_1332": {
      "node_id": "node_1332",
      "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.35172468709396,
      "fos_buckling": 1.5340529681896256,
      "fos_yielding": 7.740757682330876,
      "deflection": 0.01149215180006445,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.610)"
      },
      "parent_node_id": "node_1331",
      "improvement_over_parent": null
    },
    "node_1333": {
      "node_id": "node_1333",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1332",
      "improvement_over_parent": null
    },
    "node_1334": {
      "node_id": "node_1334",
      "content": "INITIAL DESIGN (Trace 191)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 162.80 kg\n  Factor of Safety: 0.83\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": 162.8017403112288,
      "fos_buckling": 0.8297958101976209,
      "fos_yielding": 4.7153786867906975,
      "deflection": 0.018088499437623765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1335": {
      "node_id": "node_1335",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 186.41 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.41405867533223,
      "fos_buckling": 0.939913121240419,
      "fos_yielding": 5.402860248209439,
      "deflection": 0.015835411691812816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_1334",
      "improvement_over_parent": null
    },
    "node_1336": {
      "node_id": "node_1336",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 243.13 kg\n  Factor of Safety: 1.19\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.12502946237288,
      "fos_buckling": 1.193822205219606,
      "fos_yielding": 7.058314964028596,
      "deflection": 0.012211350087763152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_1335",
      "improvement_over_parent": null
    },
    "node_1337": {
      "node_id": "node_1337",
      "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.42 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.42156878195726,
      "fos_buckling": 1.5337286285395175,
      "fos_yielding": 7.74232023329075,
      "deflection": 0.01148947825137777,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.572)"
      },
      "parent_node_id": "node_1336",
      "improvement_over_parent": null
    },
    "node_1338": {
      "node_id": "node_1338",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1337",
      "improvement_over_parent": null
    },
    "node_1339": {
      "node_id": "node_1339",
      "content": "INITIAL DESIGN (Trace 192)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 130.31 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.31343144863376,
      "fos_buckling": 0.5574232040783048,
      "fos_yielding": 3.240792858470862,
      "deflection": 0.024023678544518878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1340": {
      "node_id": "node_1340",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 152.60 kg\n  Factor of Safety: 0.64\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.60246642426878,
      "fos_buckling": 0.6388585805258165,
      "fos_yielding": 3.79592171773929,
      "deflection": 0.020564132518608884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_1339",
      "improvement_over_parent": null
    },
    "node_1341": {
      "node_id": "node_1341",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n\nPerformance:\n  Mass: 165.93 kg\n  Factor of Safety: 0.64\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": 165.9293057333688,
      "fos_buckling": 0.636406492533803,
      "fos_yielding": 3.602383434439333,
      "deflection": 0.018430261752065046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004667)"
      },
      "parent_node_id": "node_1340",
      "improvement_over_parent": null
    },
    "node_1342": {
      "node_id": "node_1342",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n  Mass: 198.52 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.51524350742346,
      "fos_buckling": 0.7387703802903337,
      "fos_yielding": 4.289324840543832,
      "deflection": 0.01546788926232983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1341",
      "improvement_over_parent": null
    },
    "node_1343": {
      "node_id": "node_1343",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 234.66 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.66314169924726,
      "fos_buckling": 0.844013903632642,
      "fos_yielding": 5.04374643183602,
      "deflection": 0.013144239227515316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_1342",
      "improvement_over_parent": null
    },
    "node_1344": {
      "node_id": "node_1344",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4546173876517,
      "fos_buckling": 1.534462287336996,
      "fos_yielding": 7.74388589353331,
      "deflection": 0.011487836516956746,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_1343",
      "improvement_over_parent": null
    },
    "node_1345": {
      "node_id": "node_1345",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1344",
      "improvement_over_parent": null
    },
    "node_1346": {
      "node_id": "node_1346",
      "content": "INITIAL DESIGN (Trace 193)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 222.30 kg\n  Factor of Safety: 0.30\n  Max Deflection: 5.29e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.30065639793867,
      "fos_buckling": 0.2996360040377997,
      "fos_yielding": 1.1659674895923793,
      "deflection": 0.05285669619877409,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1347": {
      "node_id": "node_1347",
      "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 222.79 kg\n  Factor of Safety: 0.30\n  Max Deflection: 5.25e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.78814321755107,
      "fos_buckling": 0.2996360040377999,
      "fos_yielding": 1.1659674895923793,
      "deflection": 0.0525186699627309,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.326)"
      },
      "parent_node_id": "node_1346",
      "improvement_over_parent": null
    },
    "node_1348": {
      "node_id": "node_1348",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 225.33 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.3341353786132,
      "fos_buckling": 0.6775490203067843,
      "fos_yielding": 3.8751380422130275,
      "deflection": 0.018567459496429267,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_1347",
      "improvement_over_parent": null
    },
    "node_1349": {
      "node_id": "node_1349",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47265894699567,
      "fos_buckling": 1.5345129750696223,
      "fos_yielding": 7.743853865704763,
      "deflection": 0.011486985392814193,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_1348",
      "improvement_over_parent": null
    },
    "node_1350": {
      "node_id": "node_1350",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1349",
      "improvement_over_parent": null
    },
    "node_1351": {
      "node_id": "node_1351",
      "content": "INITIAL DESIGN (Trace 194)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 166.81 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.30e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.8100332199739,
      "fos_buckling": 0.5789354161550232,
      "fos_yielding": 3.2815267018629934,
      "deflection": 0.023046864865503055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1352": {
      "node_id": "node_1352",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 197.11 kg\n  Factor of Safety: 0.67\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.11163431773403,
      "fos_buckling": 0.6694478906863507,
      "fos_yielding": 3.8744078008918517,
      "deflection": 0.01955544629900928,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_1351",
      "improvement_over_parent": null
    },
    "node_1353": {
      "node_id": "node_1353",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n  Mass: 199.17 kg\n  Factor of Safety: 1.26\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": 199.17099317141742,
      "fos_buckling": 1.2563418812770597,
      "fos_yielding": 6.292864275775667,
      "deflection": 0.014335294296167974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003226)"
      },
      "parent_node_id": "node_1352",
      "improvement_over_parent": null
    },
    "node_1354": {
      "node_id": "node_1354",
      "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n  Mass: 201.89 kg\n  Factor of Safety: 1.21\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": 201.8915949803424,
      "fos_buckling": 1.2077031379104821,
      "fos_yielding": 6.27505455393984,
      "deflection": 0.014217283615830708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.300)"
      },
      "parent_node_id": "node_1353",
      "improvement_over_parent": null
    },
    "node_1355": {
      "node_id": "node_1355",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 249.57 kg\n  Factor of Safety: 1.44\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": 249.56732157956364,
      "fos_buckling": 1.4415243202775303,
      "fos_yielding": 7.759323660614727,
      "deflection": 0.011565260692130826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_1354",
      "improvement_over_parent": null
    },
    "node_1356": {
      "node_id": "node_1356",
      "content": "MODIFICATION: Increase 15 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0049)]\n\nPerformance:\n  Mass: 250.03 kg\n  Factor of Safety: 1.44\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": 250.0319502460617,
      "fos_buckling": 1.439248209913419,
      "fos_yielding": 9.058937153063088,
      "deflection": 0.011511399764239668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.205)"
      },
      "parent_node_id": "node_1355",
      "improvement_over_parent": null
    },
    "node_1357": {
      "node_id": "node_1357",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1356",
      "improvement_over_parent": null
    },
    "node_1358": {
      "node_id": "node_1358",
      "content": "INITIAL DESIGN (Trace 195)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 158.24 kg\n  Factor of Safety: 0.93\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": 158.23742135777388,
      "fos_buckling": 0.9345464108512795,
      "fos_yielding": 4.48186453703024,
      "deflection": 0.018206022182562977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1359": {
      "node_id": "node_1359",
      "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 158.61 kg\n  Factor of Safety: 1.02\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": 158.60965635193656,
      "fos_buckling": 1.0226127663896465,
      "fos_yielding": 4.676314799469158,
      "deflection": 0.018095922793056943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.406)"
      },
      "parent_node_id": "node_1358",
      "improvement_over_parent": null
    },
    "node_1360": {
      "node_id": "node_1360",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n\nPerformance:\n  Mass: 159.05 kg\n  Factor of Safety: 1.04\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": 159.05337004871475,
      "fos_buckling": 1.0406510725829439,
      "fos_yielding": 4.873840746623869,
      "deflection": 0.01804040019738951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001300)"
      },
      "parent_node_id": "node_1359",
      "improvement_over_parent": null
    },
    "node_1361": {
      "node_id": "node_1361",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 202.73 kg\n  Factor of Safety: 1.28\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": 202.7293813086882,
      "fos_buckling": 1.2821477161911266,
      "fos_yielding": 6.2152919144333465,
      "deflection": 0.014224750696314863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1360",
      "improvement_over_parent": null
    },
    "node_1362": {
      "node_id": "node_1362",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.40 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.40129768300827,
      "fos_buckling": 1.5341837909095433,
      "fos_yielding": 7.742524803385366,
      "deflection": 0.011490188932182626,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_1361",
      "improvement_over_parent": null
    },
    "node_1363": {
      "node_id": "node_1363",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1362",
      "improvement_over_parent": null
    },
    "node_1364": {
      "node_id": "node_1364",
      "content": "INITIAL DESIGN (Trace 196)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 207.79 kg\n  Factor of Safety: 0.70\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": 207.79485191623226,
      "fos_buckling": 0.7042501050109625,
      "fos_yielding": 4.755541524784215,
      "deflection": 0.015720879697314765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1365": {
      "node_id": "node_1365",
      "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 208.24 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.2407363199287,
      "fos_buckling": 0.7042501050109625,
      "fos_yielding": 4.755541524784215,
      "deflection": 0.015720879697314765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.410)"
      },
      "parent_node_id": "node_1364",
      "improvement_over_parent": null
    },
    "node_1366": {
      "node_id": "node_1366",
      "content": "MODIFICATION: Increase 7 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 209.16 kg\n  Factor of Safety: 0.70\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": 209.15918540837353,
      "fos_buckling": 0.704126639234166,
      "fos_yielding": 5.549203153073304,
      "deflection": 0.015499193092781116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.618)"
      },
      "parent_node_id": "node_1365",
      "improvement_over_parent": null
    },
    "node_1367": {
      "node_id": "node_1367",
      "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 214.23 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.22544508715515,
      "fos_buckling": 0.7031067229136352,
      "fos_yielding": 5.121987521697187,
      "deflection": 0.015383138200750861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.403)"
      },
      "parent_node_id": "node_1366",
      "improvement_over_parent": null
    },
    "node_1368": {
      "node_id": "node_1368",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 232.02 kg\n  Factor of Safety: 1.15\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": 232.01692077555958,
      "fos_buckling": 1.149329436148165,
      "fos_yielding": 6.701276471084008,
      "deflection": 0.013447040518086739,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_1367",
      "improvement_over_parent": null
    },
    "node_1369": {
      "node_id": "node_1369",
      "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0084)]\n\nPerformance:\n  Mass: 236.36 kg\n  Factor of Safety: 1.15\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": 236.3577404758021,
      "fos_buckling": 1.1509626421923316,
      "fos_yielding": 6.687130668968831,
      "deflection": 0.013364373022496413,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.276)"
      },
      "parent_node_id": "node_1368",
      "improvement_over_parent": null
    },
    "node_1370": {
      "node_id": "node_1370",
      "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0084)]\n\nPerformance:\n  Mass: 245.17 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.17219424269538,
      "fos_buckling": 1.2375034404372822,
      "fos_yielding": 7.750032274489055,
      "deflection": 0.012262413012844024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.558)"
      },
      "parent_node_id": "node_1369",
      "improvement_over_parent": null
    },
    "node_1371": {
      "node_id": "node_1371",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0084)]\n\nPerformance:\n  Mass: 253.11 kg\n  Factor of Safety: 1.46\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.10647397463816,
      "fos_buckling": 1.4610240174865001,
      "fos_yielding": 7.79189463509567,
      "deflection": 0.011506343140612649,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.506)"
      },
      "parent_node_id": "node_1370",
      "improvement_over_parent": null
    },
    "node_1372": {
      "node_id": "node_1372",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1371",
      "improvement_over_parent": null
    },
    "node_1373": {
      "node_id": "node_1373",
      "content": "INITIAL DESIGN (Trace 197)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 212.20 kg\n  Factor of Safety: 0.92\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": 212.19643052230583,
      "fos_buckling": 0.9181584738338703,
      "fos_yielding": 6.826932263995692,
      "deflection": 0.015884314296439543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1374": {
      "node_id": "node_1374",
      "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 212.60 kg\n  Factor of Safety: 0.92\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": 212.59519810493083,
      "fos_buckling": 0.9181584738338703,
      "fos_yielding": 6.826932263995692,
      "deflection": 0.015884314296439543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.253)"
      },
      "parent_node_id": "node_1373",
      "improvement_over_parent": null
    },
    "node_1375": {
      "node_id": "node_1375",
      "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 222.00 kg\n  Factor of Safety: 0.92\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": 222.0005707219563,
      "fos_buckling": 0.9169035729589583,
      "fos_yielding": 6.817601496470033,
      "deflection": 0.014820679223770472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.616)"
      },
      "parent_node_id": "node_1374",
      "improvement_over_parent": null
    },
    "node_1376": {
      "node_id": "node_1376",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 241.27 kg\n  Factor of Safety: 1.43\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": 241.26681154286362,
      "fos_buckling": 1.4285060409645864,
      "fos_yielding": 8.535003449834765,
      "deflection": 0.01193327772309743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_1375",
      "improvement_over_parent": null
    },
    "node_1377": {
      "node_id": "node_1377",
      "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0085)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 245.59 kg\n  Factor of Safety: 1.43\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": 245.58959513844988,
      "fos_buckling": 1.4289128681244743,
      "fos_yielding": 8.743636647613963,
      "deflection": 0.01183473087860731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.259)"
      },
      "parent_node_id": "node_1376",
      "improvement_over_parent": null
    },
    "node_1378": {
      "node_id": "node_1378",
      "content": "MODIFICATION: Increase 11 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0078)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0085)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.11 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.11337770026213,
      "fos_buckling": 1.4254132225049543,
      "fos_yielding": 8.387231293085904,
      "deflection": 0.011733955262263547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.543)"
      },
      "parent_node_id": "node_1377",
      "improvement_over_parent": null
    },
    "node_1379": {
      "node_id": "node_1379",
      "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0102)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0078)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0085)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 258.31 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.31458164830843,
      "fos_buckling": 1.500840024742363,
      "fos_yielding": 8.74570903526472,
      "deflection": 0.011390914774292918,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.258)"
      },
      "parent_node_id": "node_1378",
      "improvement_over_parent": null
    },
    "node_1380": {
      "node_id": "node_1380",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1379",
      "improvement_over_parent": null
    },
    "node_1381": {
      "node_id": "node_1381",
      "content": "INITIAL DESIGN (Trace 198)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 158.76 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.02e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.76039446945282,
      "fos_buckling": 0.35857414441775043,
      "fos_yielding": 2.7172102902936452,
      "deflection": 0.03015764902109162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1382": {
      "node_id": "node_1382",
      "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 164.06 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.80e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.0607158117634,
      "fos_buckling": 0.358385225839032,
      "fos_yielding": 2.7172102902936377,
      "deflection": 0.02802387459383872,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.391)"
      },
      "parent_node_id": "node_1381",
      "improvement_over_parent": null
    },
    "node_1383": {
      "node_id": "node_1383",
      "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 169.21 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.58e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.20612410024654,
      "fos_buckling": 0.3578361670748883,
      "fos_yielding": 2.715829890651632,
      "deflection": 0.025820157305101857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.460)"
      },
      "parent_node_id": "node_1382",
      "improvement_over_parent": null
    },
    "node_1384": {
      "node_id": "node_1384",
      "content": "MODIFICATION: Increase 4 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 173.72 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.48e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.7231130983179,
      "fos_buckling": 0.35735555082138293,
      "fos_yielding": 2.7146192376006764,
      "deflection": 0.02476013333058481,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.287)"
      },
      "parent_node_id": "node_1383",
      "improvement_over_parent": null
    },
    "node_1385": {
      "node_id": "node_1385",
      "content": "MODIFICATION: Increase 11 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 176.86 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.42e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.85909164387832,
      "fos_buckling": 0.35702263531663647,
      "fos_yielding": 2.714619237600684,
      "deflection": 0.02419626577738591,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.304)"
      },
      "parent_node_id": "node_1384",
      "improvement_over_parent": null
    },
    "node_1386": {
      "node_id": "node_1386",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 206.33 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.08e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.32549495963661,
      "fos_buckling": 0.40601929155585603,
      "fos_yielding": 3.1648110870730926,
      "deflection": 0.02079815545467123,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_1385",
      "improvement_over_parent": null
    },
    "node_1387": {
      "node_id": "node_1387",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 225.17 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.17354297494882,
      "fos_buckling": 0.6770984904723072,
      "fos_yielding": 3.871518820423146,
      "deflection": 0.01858197166563967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_1386",
      "improvement_over_parent": null
    },
    "node_1388": {
      "node_id": "node_1388",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.31 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.31206654333127,
      "fos_buckling": 1.534234120901025,
      "fos_yielding": 7.739597934093399,
      "deflection": 0.01149405724546432,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_1387",
      "improvement_over_parent": null
    },
    "node_1389": {
      "node_id": "node_1389",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1388",
      "improvement_over_parent": null
    },
    "node_1390": {
      "node_id": "node_1390",
      "content": "INITIAL DESIGN (Trace 199)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n  Mass: 185.84 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.84205294152213,
      "fos_buckling": 0.3750470712909221,
      "fos_yielding": 4.747162511721851,
      "deflection": 0.017428150517096685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1391": {
      "node_id": "node_1391",
      "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n  Mass: 188.41 kg\n  Factor of Safety: 0.38\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": 188.41324642762717,
      "fos_buckling": 0.375155801799509,
      "fos_yielding": 4.74137376817684,
      "deflection": 0.01670282780569282,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.235)"
      },
      "parent_node_id": "node_1390",
      "improvement_over_parent": null
    },
    "node_1392": {
      "node_id": "node_1392",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 203.41 kg\n  Factor of Safety: 1.29\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": 203.41245592868944,
      "fos_buckling": 1.2858178059553853,
      "fos_yielding": 6.236113324063842,
      "deflection": 0.014177924512649527,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005334)"
      },
      "parent_node_id": "node_1391",
      "improvement_over_parent": null
    },
    "node_1393": {
      "node_id": "node_1393",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.33 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.32571702258832,
      "fos_buckling": 1.5338669489560086,
      "fos_yielding": 7.7399926382404844,
      "deflection": 0.011493401102105585,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_1392",
      "improvement_over_parent": null
    },
    "node_1394": {
      "node_id": "node_1394",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 200)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 242.05 kg\n  Factor of Safety: 0.78\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": 242.05326455915196,
      "fos_buckling": 0.7765118495108992,
      "fos_yielding": 4.035994418040044,
      "deflection": 0.016636968480791242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1396": {
      "node_id": "node_1396",
      "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 245.69 kg\n  Factor of Safety: 0.78\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": 245.68765710315705,
      "fos_buckling": 0.7750430567626931,
      "fos_yielding": 4.218305430517885,
      "deflection": 0.01651879688852194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.282)"
      },
      "parent_node_id": "node_1395",
      "improvement_over_parent": null
    },
    "node_1397": {
      "node_id": "node_1397",
      "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.92 kg\n  Factor of Safety: 0.80\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": 249.91913285917025,
      "fos_buckling": 0.8024406350428133,
      "fos_yielding": 4.471284996080757,
      "deflection": 0.015748481250558635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.255)"
      },
      "parent_node_id": "node_1396",
      "improvement_over_parent": null
    },
    "node_1398": {
      "node_id": "node_1398",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4651250202324,
      "fos_buckling": 1.534558212207607,
      "fos_yielding": 7.743926765330727,
      "deflection": 0.011487109895700346,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_1397",
      "improvement_over_parent": null
    },
    "node_1399": {
      "node_id": "node_1399",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1398",
      "improvement_over_parent": null
    },
    "node_1400": {
      "node_id": "node_1400",
      "content": "INITIAL DESIGN (Trace 201)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 181.11 kg\n  Factor of Safety: 0.74\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": 181.10872360273464,
      "fos_buckling": 0.7350859738987617,
      "fos_yielding": 2.872090769243972,
      "deflection": 0.01829503039011692,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1401": {
      "node_id": "node_1401",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 195.99 kg\n  Factor of Safety: 0.87\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": 195.98752373965203,
      "fos_buckling": 0.8694799994958831,
      "fos_yielding": 5.2545397598639365,
      "deflection": 0.016161228125715455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005428)"
      },
      "parent_node_id": "node_1400",
      "improvement_over_parent": null
    },
    "node_1402": {
      "node_id": "node_1402",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 234.56 kg\n  Factor of Safety: 1.03\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": 234.55638297636008,
      "fos_buckling": 1.0250519078683407,
      "fos_yielding": 6.294894557146606,
      "deflection": 0.01353776586348327,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1401",
      "improvement_over_parent": null
    },
    "node_1403": {
      "node_id": "node_1403",
      "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 237.98 kg\n  Factor of Safety: 1.19\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": 237.98070337977705,
      "fos_buckling": 1.190138445188282,
      "fos_yielding": 7.372239088424901,
      "deflection": 0.01296228772709433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.255)"
      },
      "parent_node_id": "node_1402",
      "improvement_over_parent": null
    },
    "node_1404": {
      "node_id": "node_1404",
      "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 245.41 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.22e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 245.40593097329963,
      "fos_buckling": 1.5171196014417583,
      "fos_yielding": 7.299793368657309,
      "deflection": 0.012186219167402748,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.460)"
      },
      "parent_node_id": "node_1403",
      "improvement_over_parent": null
    },
    "node_1405": {
      "node_id": "node_1405",
      "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 245.58 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.22e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 245.58127924500945,
      "fos_buckling": 1.518188050113193,
      "fos_yielding": 7.30590674959857,
      "deflection": 0.01218627790726512,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.364)"
      },
      "parent_node_id": "node_1404",
      "improvement_over_parent": null
    },
    "node_1406": {
      "node_id": "node_1406",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47434786742033,
      "fos_buckling": 1.53448752895316,
      "fos_yielding": 7.743461967853703,
      "deflection": 0.011486508506615504,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.393)"
      },
      "parent_node_id": "node_1405",
      "improvement_over_parent": null
    },
    "node_1407": {
      "node_id": "node_1407",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 202)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 194.34 kg\n  Factor of Safety: 0.35\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": 194.34410792949788,
      "fos_buckling": 0.34788987641533015,
      "fos_yielding": 4.49494681834351,
      "deflection": 0.01605263964801096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1409": {
      "node_id": "node_1409",
      "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 194.60 kg\n  Factor of Safety: 0.35\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": 194.60498314822829,
      "fos_buckling": 0.34788987641532965,
      "fos_yielding": 4.4752542546524525,
      "deflection": 0.01601687546460642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.186)"
      },
      "parent_node_id": "node_1408",
      "improvement_over_parent": null
    },
    "node_1410": {
      "node_id": "node_1410",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n\nPerformance:\n  Mass: 210.31 kg\n  Factor of Safety: 1.32\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": 210.30503169356024,
      "fos_buckling": 1.322162450320341,
      "fos_yielding": 6.447901773703893,
      "deflection": 0.013724147171015087,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005563)"
      },
      "parent_node_id": "node_1409",
      "improvement_over_parent": null
    },
    "node_1411": {
      "node_id": "node_1411",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.43463375500932,
      "fos_buckling": 1.5343776654396613,
      "fos_yielding": 7.743310540119814,
      "deflection": 0.011488662402057702,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_1410",
      "improvement_over_parent": null
    },
    "node_1412": {
      "node_id": "node_1412",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1411",
      "improvement_over_parent": null
    },
    "node_1413": {
      "node_id": "node_1413",
      "content": "INITIAL DESIGN (Trace 203)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0025)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n  Mass: 127.30 kg\n  Factor of Safety: 0.75\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": 127.30239671934524,
      "fos_buckling": 0.7462090616204304,
      "fos_yielding": 3.771419381587121,
      "deflection": 0.02248759076539304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1414": {
      "node_id": "node_1414",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 141.98 kg\n  Factor of Safety: 0.83\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.9786351704903,
      "fos_buckling": 0.8266042049870519,
      "fos_yielding": 4.207705424451543,
      "deflection": 0.020195748350011672,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_1413",
      "improvement_over_parent": null
    },
    "node_1415": {
      "node_id": "node_1415",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 172.33 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.33091172653755,
      "fos_buckling": 0.989131971025339,
      "fos_yielding": 5.111044351160196,
      "deflection": 0.016694395754675136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1414",
      "improvement_over_parent": null
    },
    "node_1416": {
      "node_id": "node_1416",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 210.83 kg\n  Factor of Safety: 1.19\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": 210.82847292735778,
      "fos_buckling": 1.1879750514628782,
      "fos_yielding": 6.258903527217256,
      "deflection": 0.013703689099574813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_1415",
      "improvement_over_parent": null
    },
    "node_1417": {
      "node_id": "node_1417",
      "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 214.46 kg\n  Factor of Safety: 1.19\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": 214.46211948983856,
      "fos_buckling": 1.1913489341114636,
      "fos_yielding": 6.479440421721755,
      "deflection": 0.013390463649492848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.198)"
      },
      "parent_node_id": "node_1416",
      "improvement_over_parent": null
    },
    "node_1418": {
      "node_id": "node_1418",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 247.70 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.70447170853163,
      "fos_buckling": 1.354284078005266,
      "fos_yielding": 7.488755556514379,
      "deflection": 0.011636902471616846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_1417",
      "improvement_over_parent": null
    },
    "node_1419": {
      "node_id": "node_1419",
      "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.22 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.2180696008467,
      "fos_buckling": 1.5336820698237303,
      "fos_yielding": 7.737001872028854,
      "deflection": 0.011498108105488996,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.346)"
      },
      "parent_node_id": "node_1418",
      "improvement_over_parent": null
    },
    "node_1420": {
      "node_id": "node_1420",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1419",
      "improvement_over_parent": null
    },
    "node_1421": {
      "node_id": "node_1421",
      "content": "INITIAL DESIGN (Trace 204)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0029)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n  Mass: 99.39 kg\n  Factor of Safety: 0.23\n  Max Deflection: 6.28e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.38577823792512,
      "fos_buckling": 0.22940369401283423,
      "fos_yielding": 0.6078322788625917,
      "deflection": 0.06277664421906216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1422": {
      "node_id": "node_1422",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 129.85 kg\n  Factor of Safety: 0.29\n  Max Deflection: 4.83e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.8519139987583,
      "fos_buckling": 0.29177309388159395,
      "fos_yielding": 0.7904615191449965,
      "deflection": 0.048263217750457325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_1421",
      "improvement_over_parent": null
    },
    "node_1423": {
      "node_id": "node_1423",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n\nPerformance:\n  Mass: 145.19 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.13e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.19498810835307,
      "fos_buckling": 0.5609418153724558,
      "fos_yielding": 3.1058656169001644,
      "deflection": 0.021282288709628477,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004794)"
      },
      "parent_node_id": "node_1422",
      "improvement_over_parent": null
    },
    "node_1424": {
      "node_id": "node_1424",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n\nPerformance:\n  Mass: 151.97 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.96548340590365,
      "fos_buckling": 0.8945086923456954,
      "fos_yielding": 4.708604693244582,
      "deflection": 0.01876547736791636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.002727)"
      },
      "parent_node_id": "node_1423",
      "improvement_over_parent": null
    },
    "node_1425": {
      "node_id": "node_1425",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n\nPerformance:\n  Mass: 175.27 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.26734195540297,
      "fos_buckling": 1.016828270983286,
      "fos_yielding": 5.431568542982384,
      "deflection": 0.016314969526479643,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_1424",
      "improvement_over_parent": null
    },
    "node_1426": {
      "node_id": "node_1426",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n\nPerformance:\n  Mass: 210.53 kg\n  Factor of Safety: 1.19\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": 210.533280469456,
      "fos_buckling": 1.1946364868237782,
      "fos_yielding": 6.526188176347243,
      "deflection": 0.013638009421869815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_1425",
      "improvement_over_parent": null
    },
    "node_1427": {
      "node_id": "node_1427",
      "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0046)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n\nPerformance:\n  Mass: 211.20 kg\n  Factor of Safety: 1.20\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.20361761848625,
      "fos_buckling": 1.1976052354788287,
      "fos_yielding": 7.93364810455352,
      "deflection": 0.01353817961502699,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.346)"
      },
      "parent_node_id": "node_1426",
      "improvement_over_parent": null
    },
    "node_1428": {
      "node_id": "node_1428",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0055)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n\nPerformance:\n  Mass: 249.69 kg\n  Factor of Safety: 1.38\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.68857807092334,
      "fos_buckling": 1.3815557301413386,
      "fos_yielding": 9.321887488075472,
      "deflection": 0.011504013003248497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_1427",
      "improvement_over_parent": null
    },
    "node_1429": {
      "node_id": "node_1429",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1428",
      "improvement_over_parent": null
    },
    "node_1430": {
      "node_id": "node_1430",
      "content": "INITIAL DESIGN (Trace 205)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 241.52 kg\n  Factor of Safety: 1.37\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": 241.52412227549723,
      "fos_buckling": 1.3726376635645716,
      "fos_yielding": 7.587612511460261,
      "deflection": 0.012262858808826526,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1431": {
      "node_id": "node_1431",
      "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 241.99 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.22e-02 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 241.9910408852366,
      "fos_buckling": 1.5352688240729684,
      "fos_yielding": 7.594495351446933,
      "deflection": 0.012229680991442457,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.437)"
      },
      "parent_node_id": "node_1430",
      "improvement_over_parent": null
    },
    "node_1432": {
      "node_id": "node_1432",
      "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 246.23 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.21e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 246.23045909281433,
      "fos_buckling": 1.526221593929832,
      "fos_yielding": 7.354830284301541,
      "deflection": 0.012104439550312873,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.374)"
      },
      "parent_node_id": "node_1431",
      "improvement_over_parent": null
    },
    "node_1433": {
      "node_id": "node_1433",
      "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4991567289877,
      "fos_buckling": 1.5345676330732654,
      "fos_yielding": 7.7448921969992135,
      "deflection": 0.011485515618002392,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.346)"
      },
      "parent_node_id": "node_1432",
      "improvement_over_parent": null
    },
    "node_1434": {
      "node_id": "node_1434",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1433",
      "improvement_over_parent": null
    },
    "node_1435": {
      "node_id": "node_1435",
      "content": "INITIAL DESIGN (Trace 206)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n  Mass: 124.64 kg\n  Factor of Safety: 0.37\n  Max Deflection: 3.47e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.64069103079044,
      "fos_buckling": 0.36526075327497726,
      "fos_yielding": 2.245376400459122,
      "deflection": 0.0346603629782417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1436": {
      "node_id": "node_1436",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n\nPerformance:\n  Mass: 138.51 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.5097124875164,
      "fos_buckling": 0.3647747151837621,
      "fos_yielding": 2.242388566562506,
      "deflection": 0.030867469679271144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004326)"
      },
      "parent_node_id": "node_1435",
      "improvement_over_parent": null
    },
    "node_1437": {
      "node_id": "node_1437",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 149.60 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.59740311934667,
      "fos_buckling": 0.7135630110130445,
      "fos_yielding": 4.386503424754902,
      "deflection": 0.019216772997092013,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003868)"
      },
      "parent_node_id": "node_1436",
      "improvement_over_parent": null
    },
    "node_1438": {
      "node_id": "node_1438",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 173.68 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.67785719626227,
      "fos_buckling": 0.8178637383073619,
      "fos_yielding": 5.078810263551471,
      "deflection": 0.016597963490417852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_1437",
      "improvement_over_parent": null
    },
    "node_1439": {
      "node_id": "node_1439",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 224.60 kg\n  Factor of Safety: 1.03\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": 224.60018904140665,
      "fos_buckling": 1.0292134273367128,
      "fos_yielding": 6.533476571919705,
      "deflection": 0.012909304834753124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_1438",
      "improvement_over_parent": null
    },
    "node_1440": {
      "node_id": "node_1440",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.18 kg\n  Factor of Safety: 1.13\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.17575996862516,
      "fos_buckling": 1.1346428062717915,
      "fos_yielding": 7.288514962673117,
      "deflection": 0.01157817739736496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_1439",
      "improvement_over_parent": null
    },
    "node_1441": {
      "node_id": "node_1441",
      "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.76 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.7615052843303,
      "fos_buckling": 1.4974963838811044,
      "fos_yielding": 7.427236225904274,
      "deflection": 0.011522178213277312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.610)"
      },
      "parent_node_id": "node_1440",
      "improvement_over_parent": null
    },
    "node_1442": {
      "node_id": "node_1442",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46582613125133,
      "fos_buckling": 1.5345371932614957,
      "fos_yielding": 7.744200678607598,
      "deflection": 0.011487296044103179,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_1441",
      "improvement_over_parent": null
    },
    "node_1443": {
      "node_id": "node_1443",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1442",
      "improvement_over_parent": null
    },
    "node_1444": {
      "node_id": "node_1444",
      "content": "INITIAL DESIGN (Trace 207)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 199.49 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.73e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.4873891726861,
      "fos_buckling": 0.3986020866979417,
      "fos_yielding": 1.6594753354612983,
      "deflection": 0.027257145838330953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1445": {
      "node_id": "node_1445",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n  Mass: 221.58 kg\n  Factor of Safety: 1.34\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": 221.57776246004497,
      "fos_buckling": 1.3439972478864544,
      "fos_yielding": 5.627109334760194,
      "deflection": 0.013109017844933096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007076)"
      },
      "parent_node_id": "node_1444",
      "improvement_over_parent": null
    },
    "node_1446": {
      "node_id": "node_1446",
      "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n  Mass: 221.72 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.7191424237274,
      "fos_buckling": 1.3467375903344199,
      "fos_yielding": 5.638582726237473,
      "deflection": 0.013107144966768965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.253)"
      },
      "parent_node_id": "node_1445",
      "improvement_over_parent": null
    },
    "node_1447": {
      "node_id": "node_1447",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.19 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.19286821925846,
      "fos_buckling": 1.509478871283634,
      "fos_yielding": 6.430294304943665,
      "deflection": 0.011562108809719909,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_1446",
      "improvement_over_parent": null
    },
    "node_1448": {
      "node_id": "node_1448",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1447",
      "improvement_over_parent": null
    },
    "node_1449": {
      "node_id": "node_1449",
      "content": "INITIAL DESIGN (Trace 208)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 145.93 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.68e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.931285339439,
      "fos_buckling": 0.5596831263006576,
      "fos_yielding": 3.969178457855809,
      "deflection": 0.026798654296628744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1450": {
      "node_id": "node_1450",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 172.68 kg\n  Factor of Safety: 0.65\n  Max Deflection: 2.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.676361243331,
      "fos_buckling": 0.6488526863258286,
      "fos_yielding": 4.6906298792582435,
      "deflection": 0.022689341933056755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_1449",
      "improvement_over_parent": null
    },
    "node_1451": {
      "node_id": "node_1451",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 199.78 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.77695586147476,
      "fos_buckling": 0.7349775038533001,
      "fos_yielding": 5.419768853799226,
      "deflection": 0.019647884124393493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_1450",
      "improvement_over_parent": null
    },
    "node_1452": {
      "node_id": "node_1452",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 216.89 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.88531795024952,
      "fos_buckling": 0.7994380208662105,
      "fos_yielding": 5.82743440991462,
      "deflection": 0.019518292844951685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006263)"
      },
      "parent_node_id": "node_1451",
      "improvement_over_parent": null
    },
    "node_1453": {
      "node_id": "node_1453",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 244.36 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.36204647464427,
      "fos_buckling": 0.8813420788669761,
      "fos_yielding": 6.554748883791177,
      "deflection": 0.017361482261645186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 246.91 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.90803863570642,
      "fos_buckling": 1.419183459553934,
      "fos_yielding": 7.59506483952836,
      "deflection": 0.01167094786625467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_1453",
      "improvement_over_parent": null
    },
    "node_1455": {
      "node_id": "node_1455",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 247.61 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.61235948262745,
      "fos_buckling": 1.4534499412773385,
      "fos_yielding": 8.053096778202,
      "deflection": 0.011591463832856013,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_1454",
      "improvement_over_parent": null
    },
    "node_1456": {
      "node_id": "node_1456",
      "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0101)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 255.55 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.55246991601726,
      "fos_buckling": 1.4652779647500036,
      "fos_yielding": 8.023532542172722,
      "deflection": 0.011455674065107866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.493)"
      },
      "parent_node_id": "node_1455",
      "improvement_over_parent": null
    },
    "node_1457": {
      "node_id": "node_1457",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 209)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 174.48 kg\n  Factor of Safety: 0.05\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": 174.48385469813314,
      "fos_buckling": 0.053244136658696366,
      "fos_yielding": 0.8474577543759946,
      "deflection": 50318059370992.81,
      "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n\nPerformance:\n  Mass: 189.84 kg\n  Factor of Safety: 0.13\n  Max Deflection: 1.41e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.8420605713475,
      "fos_buckling": 0.13453537700089288,
      "fos_yielding": 0.8860336084031388,
      "deflection": 140950706123386.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004818)"
      },
      "parent_node_id": "node_1458",
      "improvement_over_parent": null
    },
    "node_1460": {
      "node_id": "node_1460",
      "content": "MODIFICATION: Increase 0 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n\nPerformance:\n  Mass: 194.30 kg\n  Factor of Safety: 0.11\n  Max Deflection: 2.36e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.29870527933096,
      "fos_buckling": 0.10648827331739273,
      "fos_yielding": 1.6949155087519892,
      "deflection": 23577899066412.117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.272)"
      },
      "parent_node_id": "node_1459",
      "improvement_over_parent": null
    },
    "node_1461": {
      "node_id": "node_1461",
      "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n\nPerformance:\n  Mass: 202.92 kg\n  Factor of Safety: 0.20\n  Max Deflection: 4.88e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.92059694798593,
      "fos_buckling": 0.19637739717969852,
      "fos_yielding": 0.8474577543759946,
      "deflection": 48847245945298.16,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.565)"
      },
      "parent_node_id": "node_1460",
      "improvement_over_parent": null
    },
    "node_1462": {
      "node_id": "node_1462",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 217.65 kg\n  Factor of Safety: 0.21\n  Max Deflection: 1.75e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.6451045566435,
      "fos_buckling": 0.21297654663478546,
      "fos_yielding": 1.6949155087519892,
      "deflection": 17528937504268.635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_1461",
      "improvement_over_parent": null
    },
    "node_1463": {
      "node_id": "node_1463",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 236.49 kg\n  Factor of Safety: 0.90\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": 236.4931525719557,
      "fos_buckling": 0.9034326776798205,
      "fos_yielding": 6.007218778897886,
      "deflection": 0.012783245609954237,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_1462",
      "improvement_over_parent": null
    },
    "node_1464": {
      "node_id": "node_1464",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 253.16 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.1634363782128,
      "fos_buckling": 1.422857466721528,
      "fos_yielding": 8.404403363332653,
      "deflection": 0.011732857380787245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_1463",
      "improvement_over_parent": null
    },
    "node_1465": {
      "node_id": "node_1465",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1464",
      "improvement_over_parent": null
    },
    "node_1466": {
      "node_id": "node_1466",
      "content": "INITIAL DESIGN (Trace 210)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 156.72 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.97e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.7241439273597,
      "fos_buckling": 0.5992408233432155,
      "fos_yielding": 3.34544559570119,
      "deflection": 0.019745366643714814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1467": {
      "node_id": "node_1467",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 179.44 kg\n  Factor of Safety: 0.67\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": 179.4403484059274,
      "fos_buckling": 0.6720947220901148,
      "fos_yielding": 3.8147476096350514,
      "deflection": 0.017294938207189213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_1466",
      "improvement_over_parent": null
    },
    "node_1468": {
      "node_id": "node_1468",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 214.95 kg\n  Factor of Safety: 0.78\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": 214.95219068787318,
      "fos_buckling": 0.7791662466423687,
      "fos_yielding": 4.540788706937304,
      "deflection": 0.014501921791282835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1467",
      "improvement_over_parent": null
    },
    "node_1469": {
      "node_id": "node_1469",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 237.84 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.83586512284063,
      "fos_buckling": 0.8438215332524467,
      "fos_yielding": 5.0037989063571455,
      "deflection": 0.013144018617252624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1468",
      "improvement_over_parent": null
    },
    "node_1470": {
      "node_id": "node_1470",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5603727314982,
      "fos_buckling": 1.5350169152844229,
      "fos_yielding": 7.747307084332407,
      "deflection": 0.011482967522105994,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_1469",
      "improvement_over_parent": null
    },
    "node_1471": {
      "node_id": "node_1471",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1470",
      "improvement_over_parent": null
    },
    "node_1472": {
      "node_id": "node_1472",
      "content": "INITIAL DESIGN (Trace 211)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 207.72 kg\n  Factor of Safety: 0.78\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": 207.72324074814725,
      "fos_buckling": 0.7754771003638525,
      "fos_yielding": 5.621446744833415,
      "deflection": 0.020212920606878983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1473": {
      "node_id": "node_1473",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 208.33 kg\n  Factor of Safety: 0.71\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": 208.32715885528262,
      "fos_buckling": 0.7113372825107919,
      "fos_yielding": 3.8856979787477344,
      "deflection": 0.018318609838849472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001807)"
      },
      "parent_node_id": "node_1472",
      "improvement_over_parent": null
    },
    "node_1474": {
      "node_id": "node_1474",
      "content": "MODIFICATION: Increase 3 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 214.28 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.27732288748504,
      "fos_buckling": 0.7056335455338126,
      "fos_yielding": 3.834657273032701,
      "deflection": 0.018316269796493218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.608)"
      },
      "parent_node_id": "node_1473",
      "improvement_over_parent": null
    },
    "node_1475": {
      "node_id": "node_1475",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n  Mass: 216.46 kg\n  Factor of Safety: 1.35\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": 216.4606220641235,
      "fos_buckling": 1.3542299823421526,
      "fos_yielding": 6.638105275675807,
      "deflection": 0.013343156237161105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003436)"
      },
      "parent_node_id": "node_1474",
      "improvement_over_parent": null
    },
    "node_1476": {
      "node_id": "node_1476",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5209472703806,
      "fos_buckling": 1.5347801139274537,
      "fos_yielding": 7.747123865069109,
      "deflection": 0.011484780900951938,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_1475",
      "improvement_over_parent": null
    },
    "node_1477": {
      "node_id": "node_1477",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1476",
      "improvement_over_parent": null
    },
    "node_1478": {
      "node_id": "node_1478",
      "content": "INITIAL DESIGN (Trace 212)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 160.35 kg\n  Factor of Safety: 0.35\n  Max Deflection: 3.56e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.3457398831151,
      "fos_buckling": 0.345028893758383,
      "fos_yielding": 1.4125243638036522,
      "deflection": 0.035648457278372146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1479": {
      "node_id": "node_1479",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n\nPerformance:\n  Mass: 162.23 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.25e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.23070763742462,
      "fos_buckling": 0.34490205697857484,
      "fos_yielding": 1.4120084346531534,
      "deflection": 0.03252531647118149,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002934)"
      },
      "parent_node_id": "node_1478",
      "improvement_over_parent": null
    },
    "node_1480": {
      "node_id": "node_1480",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n  Mass: 186.46 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.84e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.46431197083868,
      "fos_buckling": 0.38785613422098864,
      "fos_yielding": 1.617012096775489,
      "deflection": 0.028391029448609415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1479",
      "improvement_over_parent": null
    },
    "node_1481": {
      "node_id": "node_1481",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 219.15 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.1536039205127,
      "fos_buckling": 0.4423550604358024,
      "fos_yielding": 1.8911384280154875,
      "deflection": 0.02426306803739639,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_1480",
      "improvement_over_parent": null
    },
    "node_1482": {
      "node_id": "node_1482",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 221.83 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.41e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.8283920398281,
      "fos_buckling": 0.44229769839400324,
      "fos_yielding": 1.9286276057693368,
      "deflection": 0.02412291222846691,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.244)"
      },
      "parent_node_id": "node_1481",
      "improvement_over_parent": null
    },
    "node_1483": {
      "node_id": "node_1483",
      "content": "MODIFICATION: Increase 2 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 227.16 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.16499217878572,
      "fos_buckling": 0.44218329702724973,
      "fos_yielding": 1.878607820272711,
      "deflection": 0.02404394020529184,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.582)"
      },
      "parent_node_id": "node_1482",
      "improvement_over_parent": null
    },
    "node_1484": {
      "node_id": "node_1484",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.29 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.28713383063257,
      "fos_buckling": 1.5335956825786594,
      "fos_yielding": 7.738245625662865,
      "deflection": 0.011494483216843387,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_1483",
      "improvement_over_parent": null
    },
    "node_1485": {
      "node_id": "node_1485",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1484",
      "improvement_over_parent": null
    },
    "node_1486": {
      "node_id": "node_1486",
      "content": "INITIAL DESIGN (Trace 213)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n  Mass: 103.59 kg\n  Factor of Safety: 0.40\n  Max Deflection: 4.04e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 103.58949622942677,
      "fos_buckling": 0.4012921901406465,
      "fos_yielding": 1.714690462764849,
      "deflection": 0.04039846605078207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1487": {
      "node_id": "node_1487",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 116.66 kg\n  Factor of Safety: 0.45\n  Max Deflection: 3.59e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.66338843054486,
      "fos_buckling": 0.44621554029967625,
      "fos_yielding": 1.93048873951869,
      "deflection": 0.035920226592182046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_1486",
      "improvement_over_parent": null
    },
    "node_1488": {
      "node_id": "node_1488",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n\nPerformance:\n  Mass: 128.12 kg\n  Factor of Safety: 0.45\n  Max Deflection: 3.30e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.12468180056788,
      "fos_buckling": 0.445465705470677,
      "fos_yielding": 2.359599505388161,
      "deflection": 0.03297227541385251,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003978)"
      },
      "parent_node_id": "node_1487",
      "improvement_over_parent": null
    },
    "node_1489": {
      "node_id": "node_1489",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n\nPerformance:\n  Mass: 137.08 kg\n  Factor of Safety: 0.45\n  Max Deflection: 3.02e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.07770263105587,
      "fos_buckling": 0.44527087363764795,
      "fos_yielding": 2.384314305251126,
      "deflection": 0.030227470273119547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003653)"
      },
      "parent_node_id": "node_1488",
      "improvement_over_parent": null
    },
    "node_1490": {
      "node_id": "node_1490",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n  Mass: 164.71 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.52e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.71007624295393,
      "fos_buckling": 0.5225109153799316,
      "fos_yielding": 2.8546833270551555,
      "deflection": 0.025232768117491738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1489",
      "improvement_over_parent": null
    },
    "node_1491": {
      "node_id": "node_1491",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n\nPerformance:\n  Mass: 184.53 kg\n  Factor of Safety: 1.18\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.5346228913267,
      "fos_buckling": 1.1833993020504041,
      "fos_yielding": 5.655758414707834,
      "deflection": 0.015594584361437519,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005798)"
      },
      "parent_node_id": "node_1490",
      "improvement_over_parent": null
    },
    "node_1492": {
      "node_id": "node_1492",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n  Mass: 205.96 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.96394216911744,
      "fos_buckling": 1.2988440080027224,
      "fos_yielding": 6.314088095279541,
      "deflection": 0.014006337123480504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_1491",
      "improvement_over_parent": null
    },
    "node_1493": {
      "node_id": "node_1493",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n  Mass: 252.85 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.84943481995106,
      "fos_buckling": 1.5358667902449843,
      "fos_yielding": 7.755583207392622,
      "deflection": 0.011470250600904685,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_1492",
      "improvement_over_parent": null
    },
    "node_1494": {
      "node_id": "node_1494",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1493",
      "improvement_over_parent": null
    },
    "node_1495": {
      "node_id": "node_1495",
      "content": "INITIAL DESIGN (Trace 214)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 168.10 kg\n  Factor of Safety: 0.53\n  Max Deflection: 2.90e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.10118604054855,
      "fos_buckling": 0.5281120431626483,
      "fos_yielding": 2.787554676784404,
      "deflection": 0.028962702694760166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1496": {
      "node_id": "node_1496",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n  Mass: 191.97 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.97161441755838,
      "fos_buckling": 0.5268880330098239,
      "fos_yielding": 4.9868403014015925,
      "deflection": 0.017963199510324476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007080)"
      },
      "parent_node_id": "node_1495",
      "improvement_over_parent": null
    },
    "node_1497": {
      "node_id": "node_1497",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n  Mass: 208.55 kg\n  Factor of Safety: 1.14\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": 208.5488127439116,
      "fos_buckling": 1.144104004641106,
      "fos_yielding": 7.251242588877029,
      "deflection": 0.013702073955579819,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005900)"
      },
      "parent_node_id": "node_1496",
      "improvement_over_parent": null
    },
    "node_1498": {
      "node_id": "node_1498",
      "content": "MODIFICATION: Increase 14 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0095)]\n\nPerformance:\n  Mass: 217.29 kg\n  Factor of Safety: 1.21\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": 217.29357753021142,
      "fos_buckling": 1.205396626818195,
      "fos_yielding": 7.391367834936539,
      "deflection": 0.013531184061942859,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.603)"
      },
      "parent_node_id": "node_1497",
      "improvement_over_parent": null
    },
    "node_1499": {
      "node_id": "node_1499",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0109)]\n\nPerformance:\n  Mass: 247.05 kg\n  Factor of Safety: 1.35\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": 247.04661483896723,
      "fos_buckling": 1.348109881996683,
      "fos_yielding": 8.39582778360293,
      "deflection": 0.011934889238933427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_1498",
      "improvement_over_parent": null
    },
    "node_1500": {
      "node_id": "node_1500",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0109)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 247.62 kg\n  Factor of Safety: 1.25\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": 247.62137461745718,
      "fos_buckling": 1.2472757754613113,
      "fos_yielding": 8.81541090426913,
      "deflection": 0.011903379434721134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001713)"
      },
      "parent_node_id": "node_1499",
      "improvement_over_parent": null
    },
    "node_1501": {
      "node_id": "node_1501",
      "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0041)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0109)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 247.98 kg\n  Factor of Safety: 1.26\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": 247.98058188434695,
      "fos_buckling": 1.259182338455685,
      "fos_yielding": 8.82186877143091,
      "deflection": 0.011883341077142798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.247)"
      },
      "parent_node_id": "node_1500",
      "improvement_over_parent": null
    },
    "node_1502": {
      "node_id": "node_1502",
      "content": "MODIFICATION: Increase 11 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0041)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0109)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 256.63 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.6343200903075,
      "fos_buckling": 1.3286808175032234,
      "fos_yielding": 8.87802941771962,
      "deflection": 0.011714655720905895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.567)"
      },
      "parent_node_id": "node_1501",
      "improvement_over_parent": null
    },
    "node_1503": {
      "node_id": "node_1503",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1502",
      "improvement_over_parent": null
    },
    "node_1504": {
      "node_id": "node_1504",
      "content": "INITIAL DESIGN (Trace 215)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 209.51 kg\n  Factor of Safety: 0.52\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": 209.50600019399366,
      "fos_buckling": 0.5232991988181834,
      "fos_yielding": 4.55426314489253,
      "deflection": 0.016014351004315815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1505": {
      "node_id": "node_1505",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 230.90 kg\n  Factor of Safety: 0.57\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": 230.9009365926575,
      "fos_buckling": 0.5706218821634619,
      "fos_yielding": 4.9985868427238636,
      "deflection": 0.014566396899409655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_1504",
      "improvement_over_parent": null
    },
    "node_1506": {
      "node_id": "node_1506",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 245.63 kg\n  Factor of Safety: 1.22\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": 245.62544420131508,
      "fos_buckling": 1.2174652130603496,
      "fos_yielding": 7.794439004952659,
      "deflection": 0.011715745637311932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_1505",
      "improvement_over_parent": null
    },
    "node_1507": {
      "node_id": "node_1507",
      "content": "MODIFICATION: Increase 15 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0102)]\n\nPerformance:\n  Mass: 253.57 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.57406002481903,
      "fos_buckling": 1.3168103806585822,
      "fos_yielding": 7.827566966220818,
      "deflection": 0.011560730807205225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.634)"
      },
      "parent_node_id": "node_1506",
      "improvement_over_parent": null
    },
    "node_1508": {
      "node_id": "node_1508",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1507",
      "improvement_over_parent": null
    },
    "node_1509": {
      "node_id": "node_1509",
      "content": "INITIAL DESIGN (Trace 216)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 246.26 kg\n  Factor of Safety: 1.41\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": 246.25796389531124,
      "fos_buckling": 1.4079266458219681,
      "fos_yielding": 6.260422385425411,
      "deflection": 0.011761132067329202,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1510": {
      "node_id": "node_1510",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 246.96 kg\n  Factor of Safety: 1.44\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": 246.96228474223227,
      "fos_buckling": 1.4354034759849184,
      "fos_yielding": 6.656166003579249,
      "deflection": 0.011674091352662423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_1509",
      "improvement_over_parent": null
    },
    "node_1511": {
      "node_id": "node_1511",
      "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0100)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 254.71 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.71437429813182,
      "fos_buckling": 1.5248434475726638,
      "fos_yielding": 6.902272229364485,
      "deflection": 0.01149796619731708,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.475)"
      },
      "parent_node_id": "node_1510",
      "improvement_over_parent": null
    },
    "node_1512": {
      "node_id": "node_1512",
      "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0100)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 255.19 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.19135424784105,
      "fos_buckling": 1.5394603168016043,
      "fos_yielding": 8.337526674255649,
      "deflection": 0.011430280389533554,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.253)"
      },
      "parent_node_id": "node_1511",
      "improvement_over_parent": null
    },
    "node_1513": {
      "node_id": "node_1513",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 217)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 137.71 kg\n  Factor of Safety: 0.23\n  Max Deflection: 8.85e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.7145475353385,
      "fos_buckling": 0.23139887974626003,
      "fos_yielding": 2.3683917092154734,
      "deflection": 88503243095888.83,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1515": {
      "node_id": "node_1515",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n\nPerformance:\n  Mass: 149.30 kg\n  Factor of Safety: 0.17\n  Max Deflection: 8.29e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.29644215907283,
      "fos_buckling": 0.1726296902780523,
      "fos_yielding": 0.8128205428843247,
      "deflection": 0.08289834185852701,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004308)"
      },
      "parent_node_id": "node_1514",
      "improvement_over_parent": null
    },
    "node_1516": {
      "node_id": "node_1516",
      "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n\nPerformance:\n  Mass: 151.68 kg\n  Factor of Safety: 0.17\n  Max Deflection: 8.15e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.67838484409037,
      "fos_buckling": 0.1725891125033005,
      "fos_yielding": 0.8126297389893675,
      "deflection": 0.08151000763319495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.230)"
      },
      "parent_node_id": "node_1515",
      "improvement_over_parent": null
    },
    "node_1517": {
      "node_id": "node_1517",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n  Mass: 172.76 kg\n  Factor of Safety: 0.19\n  Max Deflection: 7.16e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.75758986594974,
      "fos_buckling": 0.19443788611786864,
      "fos_yielding": 0.9247297240196363,
      "deflection": 0.07160702529417742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_1516",
      "improvement_over_parent": null
    },
    "node_1518": {
      "node_id": "node_1518",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 194.23 kg\n  Factor of Safety: 0.54\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.23161714448287,
      "fos_buckling": 0.5437634878188815,
      "fos_yielding": 3.8273976082867973,
      "deflection": 0.020543329965325232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006316)"
      },
      "parent_node_id": "node_1517",
      "improvement_over_parent": null
    },
    "node_1519": {
      "node_id": "node_1519",
      "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0070)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 198.67 kg\n  Factor of Safety: 0.54\n  Max Deflection: 2.04e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.67145226475768,
      "fos_buckling": 0.5448576489678172,
      "fos_yielding": 3.6696292609125023,
      "deflection": 0.020437139246711717,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.332)"
      },
      "parent_node_id": "node_1518",
      "improvement_over_parent": null
    },
    "node_1520": {
      "node_id": "node_1520",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0070)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n  Mass: 200.69 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.6862470510286,
      "fos_buckling": 1.1141212875633582,
      "fos_yielding": 5.915126005244425,
      "deflection": 0.014468040893368495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003151)"
      },
      "parent_node_id": "node_1519",
      "improvement_over_parent": null
    },
    "node_1521": {
      "node_id": "node_1521",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0090)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 253.60 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.59606403918343,
      "fos_buckling": 1.3738322777405412,
      "fos_yielding": 7.487988032711366,
      "deflection": 0.011511713349181819,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_1520",
      "improvement_over_parent": null
    },
    "node_1522": {
      "node_id": "node_1522",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1521",
      "improvement_over_parent": null
    },
    "node_1523": {
      "node_id": "node_1523",
      "content": "INITIAL DESIGN (Trace 218)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0020)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 110.07 kg\n  Factor of Safety: 0.20\n  Max Deflection: 2.77e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.06541742467748,
      "fos_buckling": 0.19676547901095806,
      "fos_yielding": 2.593541693360902,
      "deflection": 0.027696227114845887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1524": {
      "node_id": "node_1524",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 141.61 kg\n  Factor of Safety: 0.25\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": 141.60951244546854,
      "fos_buckling": 0.24874576157539072,
      "fos_yielding": 3.3372130148322596,
      "deflection": 0.02159558219402558,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_1523",
      "improvement_over_parent": null
    },
    "node_1525": {
      "node_id": "node_1525",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n\nPerformance:\n  Mass: 153.32 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.31922236653708,
      "fos_buckling": 0.9994834632003015,
      "fos_yielding": 4.768680241699102,
      "deflection": 0.018537656665203503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004069)"
      },
      "parent_node_id": "node_1524",
      "improvement_over_parent": null
    },
    "node_1526": {
      "node_id": "node_1526",
      "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n\nPerformance:\n  Mass: 153.41 kg\n  Factor of Safety: 0.99\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": 153.40873847173938,
      "fos_buckling": 0.9942179809474365,
      "fos_yielding": 4.784301379329097,
      "deflection": 0.01853168140107756,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.271)"
      },
      "parent_node_id": "node_1525",
      "improvement_over_parent": null
    },
    "node_1527": {
      "node_id": "node_1527",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n\nPerformance:\n  Mass: 169.89 kg\n  Factor of Safety: 1.09\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": 169.88963099814364,
      "fos_buckling": 1.0855720368641164,
      "fos_yielding": 5.2988633071917555,
      "deflection": 0.01676642133314432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_1526",
      "improvement_over_parent": null
    },
    "node_1528": {
      "node_id": "node_1528",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n\nPerformance:\n  Mass: 206.49 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.48945659777513,
      "fos_buckling": 1.2781558018065653,
      "fos_yielding": 6.441933567032498,
      "deflection": 0.013853992102872989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_1527",
      "improvement_over_parent": null
    },
    "node_1529": {
      "node_id": "node_1529",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 246.98 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.98033449623492,
      "fos_buckling": 1.4749851506255547,
      "fos_yielding": 7.707068793772327,
      "deflection": 0.011637682660312993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1528",
      "improvement_over_parent": null
    },
    "node_1530": {
      "node_id": "node_1530",
      "content": "MODIFICATION: Increase 14 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0101)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 254.91 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.9124504974071,
      "fos_buckling": 1.5338195398483618,
      "fos_yielding": 7.677071843375109,
      "deflection": 0.011474467450012214,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.493)"
      },
      "parent_node_id": "node_1529",
      "improvement_over_parent": null
    },
    "node_1531": {
      "node_id": "node_1531",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1530",
      "improvement_over_parent": null
    },
    "node_1532": {
      "node_id": "node_1532",
      "content": "INITIAL DESIGN (Trace 219)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 159.11 kg\n  Factor of Safety: 1.05\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": 159.10644579887156,
      "fos_buckling": 1.0499709587238233,
      "fos_yielding": 4.693250656203613,
      "deflection": 0.01879849075031327,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1533": {
      "node_id": "node_1533",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 202.61 kg\n  Factor of Safety: 1.29\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": 202.61279508924233,
      "fos_buckling": 1.2900416806748491,
      "fos_yielding": 5.980805655960989,
      "deflection": 0.014823394252053913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_1532",
      "improvement_over_parent": null
    },
    "node_1534": {
      "node_id": "node_1534",
      "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 209.26 kg\n  Factor of Safety: 1.32\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": 209.26076841261553,
      "fos_buckling": 1.3167489916946307,
      "fos_yielding": 6.415528723649255,
      "deflection": 0.013791597800283242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.477)"
      },
      "parent_node_id": "node_1533",
      "improvement_over_parent": null
    },
    "node_1535": {
      "node_id": "node_1535",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.51518155993864,
      "fos_buckling": 1.5348384721913877,
      "fos_yielding": 7.745450904295285,
      "deflection": 0.01148559787757257,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1534",
      "improvement_over_parent": null
    },
    "node_1536": {
      "node_id": "node_1536",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1535",
      "improvement_over_parent": null
    },
    "node_1537": {
      "node_id": "node_1537",
      "content": "INITIAL DESIGN (Trace 220)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0021)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n  Mass: 132.44 kg\n  Factor of Safety: 0.71\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": 132.43924658581398,
      "fos_buckling": 0.7116843182516979,
      "fos_yielding": 3.9018995688138682,
      "deflection": 0.021432241270291728,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1538": {
      "node_id": "node_1538",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0024)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 148.67 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.66855845073928,
      "fos_buckling": 0.794887167696652,
      "fos_yielding": 4.381053308613006,
      "deflection": 0.019127002082088555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1537",
      "improvement_over_parent": null
    },
    "node_1539": {
      "node_id": "node_1539",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0024)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n\nPerformance:\n  Mass: 149.10 kg\n  Factor of Safety: 0.77\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": 149.09705581190758,
      "fos_buckling": 0.7676302903820778,
      "fos_yielding": 4.4348786454860765,
      "deflection": 0.019121266606420575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001253)"
      },
      "parent_node_id": "node_1538",
      "improvement_over_parent": null
    },
    "node_1540": {
      "node_id": "node_1540",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n\nPerformance:\n  Mass: 174.06 kg\n  Factor of Safety: 0.89\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": 174.0620265536428,
      "fos_buckling": 0.8885606472701447,
      "fos_yielding": 5.180763937080902,
      "deflection": 0.01642393283057895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_1539",
      "improvement_over_parent": null
    },
    "node_1541": {
      "node_id": "node_1541",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n  Mass: 216.85 kg\n  Factor of Safety: 1.09\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": 216.8539603608864,
      "fos_buckling": 1.0906577954465593,
      "fos_yielding": 6.461622357887762,
      "deflection": 0.01324514459285604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_1540",
      "improvement_over_parent": null
    },
    "node_1542": {
      "node_id": "node_1542",
      "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0091)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n  Mass: 222.73 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.73356587572178,
      "fos_buckling": 1.0941259417195706,
      "fos_yielding": 6.731874585366591,
      "deflection": 0.012888238411665342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.272)"
      },
      "parent_node_id": "node_1541",
      "improvement_over_parent": null
    },
    "node_1543": {
      "node_id": "node_1543",
      "content": "MODIFICATION: Increase 13 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0091)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0096)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n  Mass: 231.74 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.74312345657737,
      "fos_buckling": 1.0840133839890433,
      "fos_yielding": 6.758080240247912,
      "deflection": 0.012735821567805098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.658)"
      },
      "parent_node_id": "node_1542",
      "improvement_over_parent": null
    },
    "node_1544": {
      "node_id": "node_1544",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0104)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0109)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 261.61 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 261.60808589880713,
      "fos_buckling": 1.2132971418555147,
      "fos_yielding": 7.6408263414088635,
      "deflection": 0.011309653746042547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_1543",
      "improvement_over_parent": null
    },
    "node_1545": {
      "node_id": "node_1545",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1544",
      "improvement_over_parent": null
    },
    "node_1546": {
      "node_id": "node_1546",
      "content": "INITIAL DESIGN (Trace 221)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 122.77 kg\n  Factor of Safety: 0.28\n  Max Deflection: 5.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.77023208711103,
      "fos_buckling": 0.28458048523748225,
      "fos_yielding": 0.7700835740890148,
      "deflection": 0.05075805651107549,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1547": {
      "node_id": "node_1547",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n\nPerformance:\n  Mass: 137.68 kg\n  Factor of Safety: 0.55\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": 137.68159204021674,
      "fos_buckling": 0.5476046645975435,
      "fos_yielding": 2.887727211241152,
      "deflection": 0.02200853240852199,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004652)"
      },
      "parent_node_id": "node_1546",
      "improvement_over_parent": null
    },
    "node_1548": {
      "node_id": "node_1548",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n\nPerformance:\n  Mass: 158.06 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.06078508517157,
      "fos_buckling": 0.6169804062647104,
      "fos_yielding": 3.306499143743003,
      "deflection": 0.019220337240197196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_1547",
      "improvement_over_parent": null
    },
    "node_1549": {
      "node_id": "node_1549",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n  Mass: 201.06 kg\n  Factor of Safety: 0.75\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": 201.06312191695227,
      "fos_buckling": 0.753862278757043,
      "fos_yielding": 4.1831599139782565,
      "deflection": 0.015191665080798972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_1548",
      "improvement_over_parent": null
    },
    "node_1550": {
      "node_id": "node_1550",
      "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0070)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n  Mass: 204.10 kg\n  Factor of Safety: 0.75\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": 204.1014916874504,
      "fos_buckling": 0.7532073254248818,
      "fos_yielding": 4.022266288501516,
      "deflection": 0.015118201958864248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.205)"
      },
      "parent_node_id": "node_1549",
      "improvement_over_parent": null
    },
    "node_1551": {
      "node_id": "node_1551",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0070)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n  Mass: 219.52 kg\n  Factor of Safety: 1.37\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": 219.51946792524768,
      "fos_buckling": 1.368478144347405,
      "fos_yielding": 6.954249865837606,
      "deflection": 0.013171062662518912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005641)"
      },
      "parent_node_id": "node_1550",
      "improvement_over_parent": null
    },
    "node_1552": {
      "node_id": "node_1552",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0082)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 253.45 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.45414228509804,
      "fos_buckling": 1.5377862333120682,
      "fos_yielding": 8.028329007004533,
      "deflection": 0.011451226868701526,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_1551",
      "improvement_over_parent": null
    },
    "node_1553": {
      "node_id": "node_1553",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1552",
      "improvement_over_parent": null
    },
    "node_1554": {
      "node_id": "node_1554",
      "content": "INITIAL DESIGN (Trace 222)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 142.92 kg\n  Factor of Safety: 0.46\n  Max Deflection: 2.95e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.9181761784542,
      "fos_buckling": 0.45829437609598,
      "fos_yielding": 1.5499612090670616,
      "deflection": 0.029483902493258895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1555": {
      "node_id": "node_1555",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n\nPerformance:\n  Mass: 152.03 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.61e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.0268203246982,
      "fos_buckling": 0.44076077658165785,
      "fos_yielding": 2.973701164335196,
      "deflection": 0.026119991966680235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003720)"
      },
      "parent_node_id": "node_1554",
      "improvement_over_parent": null
    },
    "node_1556": {
      "node_id": "node_1556",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n\nPerformance:\n  Mass: 153.60 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.60208224704925,
      "fos_buckling": 0.8946124066560195,
      "fos_yielding": 4.646094968946231,
      "deflection": 0.01857412025212068,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002425)"
      },
      "parent_node_id": "node_1555",
      "improvement_over_parent": null
    },
    "node_1557": {
      "node_id": "node_1557",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n  Mass: 199.55 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.54829062675827,
      "fos_buckling": 1.1365401200803689,
      "fos_yielding": 6.040961059854146,
      "deflection": 0.014372123120621782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_1556",
      "improvement_over_parent": null
    },
    "node_1558": {
      "node_id": "node_1558",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 248.51 kg\n  Factor of Safety: 1.38\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": 248.50659904158567,
      "fos_buckling": 1.3810877104994954,
      "fos_yielding": 7.5299873961305055,
      "deflection": 0.011604702485028776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_1557",
      "improvement_over_parent": null
    },
    "node_1559": {
      "node_id": "node_1559",
      "content": "MODIFICATION: Increase 13 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0088)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 253.42 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.41625158440212,
      "fos_buckling": 1.3904840980938002,
      "fos_yielding": 7.511144382020778,
      "deflection": 0.011507612076969443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.299)"
      },
      "parent_node_id": "node_1558",
      "improvement_over_parent": null
    },
    "node_1560": {
      "node_id": "node_1560",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1559",
      "improvement_over_parent": null
    },
    "node_1561": {
      "node_id": "node_1561",
      "content": "INITIAL DESIGN (Trace 223)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 99.84 kg\n  Factor of Safety: 0.21\n  Max Deflection: 5.75e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.84397916643171,
      "fos_buckling": 0.20958675373331628,
      "fos_yielding": 0.8474577543759945,
      "deflection": 57500836038474.39,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1562": {
      "node_id": "node_1562",
      "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 102.31 kg\n  Factor of Safety: 1.61\n  Max Deflection: 3.10e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 102.30612252963414,
      "fos_buckling": 1.6063833978506132,
      "fos_yielding": 3.3898310175039783,
      "deflection": 30996244338700.324,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.481)"
      },
      "parent_node_id": "node_1561",
      "improvement_over_parent": null
    },
    "node_1563": {
      "node_id": "node_1563",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 129.03 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.96e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.0295098173887,
      "fos_buckling": 0.02562458731658087,
      "fos_yielding": 0.10593221929699931,
      "deflection": 296403844836245.7,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_1562",
      "improvement_over_parent": null
    },
    "node_1564": {
      "node_id": "node_1564",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n\nPerformance:\n  Mass: 140.87 kg\n  Factor of Safety: 0.46\n  Max Deflection: 3.08e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.8663816443803,
      "fos_buckling": 0.46482393708322706,
      "fos_yielding": 2.5023673273600435,
      "deflection": 0.030847030479601276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003664)"
      },
      "parent_node_id": "node_1563",
      "improvement_over_parent": null
    },
    "node_1565": {
      "node_id": "node_1565",
      "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n\nPerformance:\n  Mass: 143.53 kg\n  Factor of Safety: 0.46\n  Max Deflection: 3.08e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.53284115512494,
      "fos_buckling": 0.4646424360584992,
      "fos_yielding": 2.5013938564196017,
      "deflection": 0.03077444301206755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.269)"
      },
      "parent_node_id": "node_1564",
      "improvement_over_parent": null
    },
    "node_1566": {
      "node_id": "node_1566",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0065)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n\nPerformance:\n  Mass: 182.88 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.42e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.8773396793151,
      "fos_buckling": 0.5722279392624211,
      "fos_yielding": 3.1715190026042612,
      "deflection": 0.024228246247867992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1565",
      "improvement_over_parent": null
    },
    "node_1567": {
      "node_id": "node_1567",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0065)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n  Mass: 204.95 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.94508428387536,
      "fos_buckling": 1.2436093791775646,
      "fos_yielding": 6.415084417899661,
      "deflection": 0.014203779170268854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006504)"
      },
      "parent_node_id": "node_1566",
      "improvement_over_parent": null
    },
    "node_1568": {
      "node_id": "node_1568",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0081)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.13 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.1258642347952,
      "fos_buckling": 1.4744612038117764,
      "fos_yielding": 7.896564558207286,
      "deflection": 0.011604929634074876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_1567",
      "improvement_over_parent": null
    },
    "node_1569": {
      "node_id": "node_1569",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 224)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 120.65 kg\n  Factor of Safety: 0.48\n  Max Deflection: 2.68e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.64656464776876,
      "fos_buckling": 0.47772992116212853,
      "fos_yielding": 3.074617536319566,
      "deflection": 26803103922443.387,
      "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 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n\nPerformance:\n  Mass: 138.38 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.68e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.37631853651345,
      "fos_buckling": 0.5535470893639083,
      "fos_yielding": 3.928410852116969,
      "deflection": 0.026780692815982644,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005149)"
      },
      "parent_node_id": "node_1570",
      "improvement_over_parent": null
    },
    "node_1572": {
      "node_id": "node_1572",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n\nPerformance:\n  Mass: 176.26 kg\n  Factor of Safety: 0.68\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.25768231882418,
      "fos_buckling": 0.6808089615069379,
      "fos_yielding": 4.9741411498279815,
      "deflection": 0.021105200350325242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1571",
      "improvement_over_parent": null
    },
    "node_1573": {
      "node_id": "node_1573",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n\nPerformance:\n  Mass: 190.13 kg\n  Factor of Safety: 0.79\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": 190.1316373083651,
      "fos_buckling": 0.7885123379159826,
      "fos_yielding": 5.690831004535742,
      "deflection": 0.01764826856677114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005227)"
      },
      "parent_node_id": "node_1572",
      "improvement_over_parent": null
    },
    "node_1574": {
      "node_id": "node_1574",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n\nPerformance:\n  Mass: 209.51 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.51262200142963,
      "fos_buckling": 1.2931991428728562,
      "fos_yielding": 6.178550573926599,
      "deflection": 0.013779403872577096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006178)"
      },
      "parent_node_id": "node_1573",
      "improvement_over_parent": null
    },
    "node_1575": {
      "node_id": "node_1575",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 210.10 kg\n  Factor of Safety: 1.32\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": 210.09888856146696,
      "fos_buckling": 1.3210685808788267,
      "fos_yielding": 6.440920472421494,
      "deflection": 0.013737460522971152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001750)"
      },
      "parent_node_id": "node_1574",
      "improvement_over_parent": null
    },
    "node_1576": {
      "node_id": "node_1576",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.38 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.37980390997254,
      "fos_buckling": 1.5340983553466083,
      "fos_yielding": 7.740862156106542,
      "deflection": 0.011491227216883915,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_1575",
      "improvement_over_parent": null
    },
    "node_1577": {
      "node_id": "node_1577",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1576",
      "improvement_over_parent": null
    },
    "node_1578": {
      "node_id": "node_1578",
      "content": "INITIAL DESIGN (Trace 225)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0032)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0029)]\n\nPerformance:\n  Mass: 107.73 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.89e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.73199077346885,
      "fos_buckling": 0.4450754307446034,
      "fos_yielding": 2.5882024065844615,
      "deflection": 0.0288736092234704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1579": {
      "node_id": "node_1579",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 138.24 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.26e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.23813247751548,
      "fos_buckling": 0.565171158000331,
      "fos_yielding": 3.3222319549126254,
      "deflection": 0.02255736265201147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_1578",
      "improvement_over_parent": null
    },
    "node_1580": {
      "node_id": "node_1580",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 141.93 kg\n  Factor of Safety: 0.79\n  Max Deflection: 2.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.92983249145254,
      "fos_buckling": 0.785043755962031,
      "fos_yielding": 4.38053820964481,
      "deflection": 0.02066180902640445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.506)"
      },
      "parent_node_id": "node_1579",
      "improvement_over_parent": null
    },
    "node_1581": {
      "node_id": "node_1581",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 145.15 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.97e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.1469830702425,
      "fos_buckling": 0.9464531326043862,
      "fos_yielding": 4.279010144160097,
      "deflection": 0.01974399601306488,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.300)"
      },
      "parent_node_id": "node_1580",
      "improvement_over_parent": null
    },
    "node_1582": {
      "node_id": "node_1582",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 167.47 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.72e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.47404719654187,
      "fos_buckling": 1.0716542987646407,
      "fos_yielding": 4.937998460328359,
      "deflection": 0.01715567165338989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_1581",
      "improvement_over_parent": null
    },
    "node_1583": {
      "node_id": "node_1583",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 215.38 kg\n  Factor of Safety: 1.32\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": 215.37973527177746,
      "fos_buckling": 1.3226256309470783,
      "fos_yielding": 6.352643378374264,
      "deflection": 0.013413037618938129,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1582",
      "improvement_over_parent": null
    },
    "node_1584": {
      "node_id": "node_1584",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 215.98 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.98241764598282,
      "fos_buckling": 1.3517932467945046,
      "fos_yielding": 6.622758055648834,
      "deflection": 0.013372193552236287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001803)"
      },
      "parent_node_id": "node_1583",
      "improvement_over_parent": null
    },
    "node_1585": {
      "node_id": "node_1585",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.35947822524386,
      "fos_buckling": 1.5340465028995722,
      "fos_yielding": 7.741413886924089,
      "deflection": 0.011492107239785103,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_1584",
      "improvement_over_parent": null
    },
    "node_1586": {
      "node_id": "node_1586",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1585",
      "improvement_over_parent": null
    },
    "node_1587": {
      "node_id": "node_1587",
      "content": "INITIAL DESIGN (Trace 226)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 178.28 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.27965215895188,
      "fos_buckling": 0.7078693620167571,
      "fos_yielding": 3.5974770230037283,
      "deflection": 0.017096382971516423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1588": {
      "node_id": "node_1588",
      "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 182.87 kg\n  Factor of Safety: 0.71\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": 182.86570290658727,
      "fos_buckling": 0.7069377869942677,
      "fos_yielding": 4.046918100048205,
      "deflection": 0.01686833482479537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.562)"
      },
      "parent_node_id": "node_1587",
      "improvement_over_parent": null
    },
    "node_1589": {
      "node_id": "node_1589",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 228.28 kg\n  Factor of Safety: 0.84\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": 228.27737848798378,
      "fos_buckling": 0.8443586518416749,
      "fos_yielding": 5.016586821055814,
      "deflection": 0.01358650605075174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_1588",
      "improvement_over_parent": null
    },
    "node_1590": {
      "node_id": "node_1590",
      "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 234.59 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.59349678265147,
      "fos_buckling": 0.843853163714507,
      "fos_yielding": 5.041576660623911,
      "deflection": 0.013147579184823536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.333)"
      },
      "parent_node_id": "node_1589",
      "improvement_over_parent": null
    },
    "node_1591": {
      "node_id": "node_1591",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.38 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3849724710559,
      "fos_buckling": 1.5342712979100372,
      "fos_yielding": 7.742648333632437,
      "deflection": 0.011490615009495931,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_1590",
      "improvement_over_parent": null
    },
    "node_1592": {
      "node_id": "node_1592",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1591",
      "improvement_over_parent": null
    },
    "node_1593": {
      "node_id": "node_1593",
      "content": "INITIAL DESIGN (Trace 227)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 200.89 kg\n  Factor of Safety: 1.00\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": 200.88710074331763,
      "fos_buckling": 1.0033177456482503,
      "fos_yielding": 5.761217041801299,
      "deflection": 0.015602852799724442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1594": {
      "node_id": "node_1594",
      "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 207.67 kg\n  Factor of Safety: 1.00\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": 207.6706627764469,
      "fos_buckling": 0.9987790229181758,
      "fos_yielding": 6.080194863902239,
      "deflection": 0.014737381736058592,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.562)"
      },
      "parent_node_id": "node_1593",
      "improvement_over_parent": null
    },
    "node_1595": {
      "node_id": "node_1595",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 235.03 kg\n  Factor of Safety: 1.12\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": 235.02666265512448,
      "fos_buckling": 1.1166946119515748,
      "fos_yielding": 6.878651061133734,
      "deflection": 0.013052239761483767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_1594",
      "improvement_over_parent": null
    },
    "node_1596": {
      "node_id": "node_1596",
      "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 240.86 kg\n  Factor of Safety: 1.12\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": 240.86402795065067,
      "fos_buckling": 1.1187941159572503,
      "fos_yielding": 6.757715602243257,
      "deflection": 0.012785438286863956,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.477)"
      },
      "parent_node_id": "node_1595",
      "improvement_over_parent": null
    },
    "node_1597": {
      "node_id": "node_1597",
      "content": "MODIFICATION: Increase 6 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 241.51 kg\n  Factor of Safety: 1.12\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": 241.51130480246297,
      "fos_buckling": 1.119571765025222,
      "fos_yielding": 6.639380048083834,
      "deflection": 0.012707428853707027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.479)"
      },
      "parent_node_id": "node_1596",
      "improvement_over_parent": null
    },
    "node_1598": {
      "node_id": "node_1598",
      "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 242.16 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.15886227719918,
      "fos_buckling": 1.109124431710051,
      "fos_yielding": 6.832020023611015,
      "deflection": 0.012615107886519232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.374)"
      },
      "parent_node_id": "node_1597",
      "improvement_over_parent": null
    },
    "node_1599": {
      "node_id": "node_1599",
      "content": "MODIFICATION: Increase 4 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 248.70 kg\n  Factor of Safety: 1.42\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": 248.70438014027687,
      "fos_buckling": 1.4248791184115284,
      "fos_yielding": 7.982993426925549,
      "deflection": 0.011793308442535582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.479)"
      },
      "parent_node_id": "node_1598",
      "improvement_over_parent": null
    },
    "node_1600": {
      "node_id": "node_1600",
      "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.54159980753715,
      "fos_buckling": 1.5349565524201985,
      "fos_yielding": 7.749650094479069,
      "deflection": 0.011484043880119503,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.198)"
      },
      "parent_node_id": "node_1599",
      "improvement_over_parent": null
    },
    "node_1601": {
      "node_id": "node_1601",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1600",
      "improvement_over_parent": null
    },
    "node_1602": {
      "node_id": "node_1602",
      "content": "INITIAL DESIGN (Trace 228)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 182.77 kg\n  Factor of Safety: 0.34\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": 182.7662108903951,
      "fos_buckling": 0.33795058988064736,
      "fos_yielding": 2.93957350462867,
      "deflection": 0.018207938385045995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1603": {
      "node_id": "node_1603",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 187.12 kg\n  Factor of Safety: 0.34\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": 187.1172734808039,
      "fos_buckling": 0.3375146295041825,
      "fos_yielding": 2.9386878220116124,
      "deflection": 0.017031999570017567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.295)"
      },
      "parent_node_id": "node_1602",
      "improvement_over_parent": null
    },
    "node_1604": {
      "node_id": "node_1604",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n  Mass: 202.27 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.26908933272875,
      "fos_buckling": 1.0603863381027385,
      "fos_yielding": 4.3075805974717145,
      "deflection": 0.0144196536434114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005354)"
      },
      "parent_node_id": "node_1603",
      "improvement_over_parent": null
    },
    "node_1605": {
      "node_id": "node_1605",
      "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n  Mass: 202.95 kg\n  Factor of Safety: 1.28\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": 202.95456456144052,
      "fos_buckling": 1.2833245971689584,
      "fos_yielding": 6.219310474532185,
      "deflection": 0.014209259412814994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.541)"
      },
      "parent_node_id": "node_1604",
      "improvement_over_parent": null
    },
    "node_1606": {
      "node_id": "node_1606",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n  Mass: 227.06 kg\n  Factor of Safety: 1.41\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": 227.05626002018874,
      "fos_buckling": 1.408549209457638,
      "fos_yielding": 6.95982549313761,
      "deflection": 0.012735936012684407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1605",
      "improvement_over_parent": null
    },
    "node_1607": {
      "node_id": "node_1607",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.67471022024972,
      "fos_buckling": 1.5354839426286473,
      "fos_yielding": 7.7473980443984685,
      "deflection": 0.011478052597449618,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_1606",
      "improvement_over_parent": null
    },
    "node_1608": {
      "node_id": "node_1608",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1607",
      "improvement_over_parent": null
    },
    "node_1609": {
      "node_id": "node_1609",
      "content": "INITIAL DESIGN (Trace 229)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 129.18 kg\n  Factor of Safety: 0.42\n  Max Deflection: 2.53e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.17959048719217,
      "fos_buckling": 0.41582649410230677,
      "fos_yielding": 1.5660717109567528,
      "deflection": 0.02531191445753918,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1610": {
      "node_id": "node_1610",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n\nPerformance:\n  Mass: 138.05 kg\n  Factor of Safety: 0.42\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": 138.04886510103967,
      "fos_buckling": 0.41619127876003337,
      "fos_yielding": 3.3166877540679907,
      "deflection": 0.021953511380587404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003617)"
      },
      "parent_node_id": "node_1609",
      "improvement_over_parent": null
    },
    "node_1611": {
      "node_id": "node_1611",
      "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0038)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n\nPerformance:\n  Mass: 138.94 kg\n  Factor of Safety: 0.42\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": 138.93633279484837,
      "fos_buckling": 0.41611822617432664,
      "fos_yielding": 3.31610827635873,
      "deflection": 0.021865764270363724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.631)"
      },
      "parent_node_id": "node_1610",
      "improvement_over_parent": null
    },
    "node_1612": {
      "node_id": "node_1612",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0044)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n  Mass: 157.92 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.92083357218044,
      "fos_buckling": 0.46948394207947824,
      "fos_yielding": 3.7656029737109455,
      "deflection": 0.019266215182646953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_1611",
      "improvement_over_parent": null
    },
    "node_1613": {
      "node_id": "node_1613",
      "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0044)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n  Mass: 163.13 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.13009310810773,
      "fos_buckling": 0.4697258599124828,
      "fos_yielding": 4.093592062342633,
      "deflection": 0.019055709202295965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.468)"
      },
      "parent_node_id": "node_1612",
      "improvement_over_parent": null
    },
    "node_1614": {
      "node_id": "node_1614",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0051)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0075)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n  Mass: 187.53 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.5258985082702,
      "fos_buckling": 0.5352541048218457,
      "fos_yielding": 4.697835804019673,
      "deflection": 0.016601630677726114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1613",
      "improvement_over_parent": null
    },
    "node_1615": {
      "node_id": "node_1615",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0051)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0075)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n  Mass: 200.65 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.65357043010866,
      "fos_buckling": 0.99125613290335,
      "fos_yielding": 4.785968070813269,
      "deflection": 0.014564151352397409,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004925)"
      },
      "parent_node_id": "node_1614",
      "improvement_over_parent": null
    },
    "node_1616": {
      "node_id": "node_1616",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0066)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0097)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 254.36 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.35533475238893,
      "fos_buckling": 1.2284437798141106,
      "fos_yielding": 6.0700264348014015,
      "deflection": 0.011548981502447049,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1615",
      "improvement_over_parent": null
    },
    "node_1617": {
      "node_id": "node_1617",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1616",
      "improvement_over_parent": null
    },
    "node_1618": {
      "node_id": "node_1618",
      "content": "INITIAL DESIGN (Trace 230)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 143.18 kg\n  Factor of Safety: 0.79\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": 143.1767597293622,
      "fos_buckling": 0.7932953023765443,
      "fos_yielding": 3.389831017503978,
      "deflection": 13185177801399.941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1619": {
      "node_id": "node_1619",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 172.48 kg\n  Factor of Safety: 0.32\n  Max Deflection: 3.20e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.4830454094236,
      "fos_buckling": 0.3150228637006457,
      "fos_yielding": 1.694915508751989,
      "deflection": 31978239376939.58,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_1618",
      "improvement_over_parent": null
    },
    "node_1620": {
      "node_id": "node_1620",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 173.19 kg\n  Factor of Safety: 0.81\n  Max Deflection: 3.11e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.18736625634463,
      "fos_buckling": 0.8054716417227716,
      "fos_yielding": 7.22954000892543,
      "deflection": 31051551533495.35,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_1619",
      "improvement_over_parent": null
    },
    "node_1621": {
      "node_id": "node_1621",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 200.33 kg\n  Factor of Safety: 0.44\n  Max Deflection: 3.15e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.32588982472708,
      "fos_buckling": 0.4439000582509161,
      "fos_yielding": 1.879635629282906,
      "deflection": 0.03149935017530279,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_1620",
      "improvement_over_parent": null
    },
    "node_1622": {
      "node_id": "node_1622",
      "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 207.89 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.85e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.8941960446885,
      "fos_buckling": 0.44341066378151067,
      "fos_yielding": 1.8755309967977787,
      "deflection": 0.028457893270978894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.447)"
      },
      "parent_node_id": "node_1621",
      "improvement_over_parent": null
    },
    "node_1623": {
      "node_id": "node_1623",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 233.02 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.01633769653535,
      "fos_buckling": 0.9157498373681132,
      "fos_yielding": 6.811611011115722,
      "deflection": 0.014750485670569712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_1622",
      "improvement_over_parent": null
    },
    "node_1624": {
      "node_id": "node_1624",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.28 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.28257851744266,
      "fos_buckling": 1.5345060817882632,
      "fos_yielding": 7.743301464586779,
      "deflection": 0.011499994398277166,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_1623",
      "improvement_over_parent": null
    },
    "node_1625": {
      "node_id": "node_1625",
      "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0081)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 255.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.5595028840626,
      "fos_buckling": 1.535147403748435,
      "fos_yielding": 7.880340852441274,
      "deflection": 0.011428644154995829,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.195)"
      },
      "parent_node_id": "node_1624",
      "improvement_over_parent": null
    },
    "node_1626": {
      "node_id": "node_1626",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1625",
      "improvement_over_parent": null
    },
    "node_1627": {
      "node_id": "node_1627",
      "content": "INITIAL DESIGN (Trace 231)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 120.12 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.80e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.1163123170081,
      "fos_buckling": 0.55114735023036,
      "fos_yielding": 3.114701186987711,
      "deflection": 0.027968934504546024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1628": {
      "node_id": "node_1628",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0027)]\n\nPerformance:\n  Mass: 128.86 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.26e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.85968454622136,
      "fos_buckling": 0.5506704589118749,
      "fos_yielding": 3.1120204191564427,
      "deflection": 0.022648610669458554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.002676)"
      },
      "parent_node_id": "node_1627",
      "improvement_over_parent": null
    },
    "node_1629": {
      "node_id": "node_1629",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n\nPerformance:\n  Mass: 161.25 kg\n  Factor of Safety: 0.67\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": 161.25063780492158,
      "fos_buckling": 0.6723303269195371,
      "fos_yielding": 3.886712488761265,
      "deflection": 0.01815889730895732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_1628",
      "improvement_over_parent": null
    },
    "node_1630": {
      "node_id": "node_1630",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n\nPerformance:\n  Mass: 173.04 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.0370772235123,
      "fos_buckling": 1.0692003073492529,
      "fos_yielding": 5.893933810232153,
      "deflection": 0.016621193988085453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004389)"
      },
      "parent_node_id": "node_1629",
      "improvement_over_parent": null
    },
    "node_1631": {
      "node_id": "node_1631",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n\nPerformance:\n  Mass: 200.57 kg\n  Factor of Safety: 1.21\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": 200.56870129609777,
      "fos_buckling": 1.2127822772344912,
      "fos_yielding": 6.827812845706173,
      "deflection": 0.014383926154482194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_1630",
      "improvement_over_parent": null
    },
    "node_1632": {
      "node_id": "node_1632",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 244.87 kg\n  Factor of Safety: 1.43\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": 244.87103646198602,
      "fos_buckling": 1.4289314850817578,
      "fos_yielding": 8.32753969952916,
      "deflection": 0.011839880585979892,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_1631",
      "improvement_over_parent": null
    },
    "node_1633": {
      "node_id": "node_1633",
      "content": "MODIFICATION: Increase 11 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0104)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 253.45 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.45498899978156,
      "fos_buckling": 1.4294819029857881,
      "fos_yielding": 8.686413518925455,
      "deflection": 0.011686875362624258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.529)"
      },
      "parent_node_id": "node_1632",
      "improvement_over_parent": null
    },
    "node_1634": {
      "node_id": "node_1634",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1633",
      "improvement_over_parent": null
    },
    "node_1635": {
      "node_id": "node_1635",
      "content": "INITIAL DESIGN (Trace 232)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 189.50 kg\n  Factor of Safety: 0.81\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": 189.50006522171805,
      "fos_buckling": 0.8087146898592219,
      "fos_yielding": 4.806133168071697,
      "deflection": 0.018201369098954853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1636": {
      "node_id": "node_1636",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n\nPerformance:\n  Mass: 199.17 kg\n  Factor of Safety: 0.82\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": 199.17260098144482,
      "fos_buckling": 0.822482558549678,
      "fos_yielding": 5.9808669405732156,
      "deflection": 0.016959338146260806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.003561)"
      },
      "parent_node_id": "node_1635",
      "improvement_over_parent": null
    },
    "node_1637": {
      "node_id": "node_1637",
      "content": "MODIFICATION: Increase 11 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0091)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n\nPerformance:\n  Mass: 207.15 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.15271459366875,
      "fos_buckling": 0.8215275544650888,
      "fos_yielding": 5.973922413545557,
      "deflection": 0.016757948353919146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.550)"
      },
      "parent_node_id": "node_1636",
      "improvement_over_parent": null
    },
    "node_1638": {
      "node_id": "node_1638",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0105)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n\nPerformance:\n  Mass: 236.59 kg\n  Factor of Safety: 0.92\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": 236.591490909877,
      "fos_buckling": 0.9154896837113745,
      "fos_yielding": 6.807319721015005,
      "deflection": 0.014713910506117246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_1637",
      "improvement_over_parent": null
    },
    "node_1639": {
      "node_id": "node_1639",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0105)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 251.95 kg\n  Factor of Safety: 1.45\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": 251.95258729506781,
      "fos_buckling": 1.4524527442560327,
      "fos_yielding": 8.755033552854167,
      "deflection": 0.011599163498024319,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005575)"
      },
      "parent_node_id": "node_1638",
      "improvement_over_parent": null
    },
    "node_1640": {
      "node_id": "node_1640",
      "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0104)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0105)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 258.15 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.1475637231884,
      "fos_buckling": 1.4542283939988323,
      "fos_yielding": 8.469225885908516,
      "deflection": 0.011294228072718706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.279)"
      },
      "parent_node_id": "node_1639",
      "improvement_over_parent": null
    },
    "node_1641": {
      "node_id": "node_1641",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 233)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 159.82 kg\n  Factor of Safety: 1.34\n  Max Deflection: 8.83e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.8155081708189,
      "fos_buckling": 1.3403331319998109,
      "fos_yielding": 9.139887085161279,
      "deflection": 8832716486810.875,
      "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: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n  Mass: 182.68 kg\n  Factor of Safety: 0.80\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.67809554319095,
      "fos_buckling": 0.7972927972848916,
      "fos_yielding": 3.5769299192847477,
      "deflection": 0.02034333598365449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006757)"
      },
      "parent_node_id": "node_1642",
      "improvement_over_parent": null
    },
    "node_1644": {
      "node_id": "node_1644",
      "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n  Mass: 185.07 kg\n  Factor of Safety: 0.80\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": 185.06802022607513,
      "fos_buckling": 0.7971075578721071,
      "fos_yielding": 4.30434461391355,
      "deflection": 0.019087456355497162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.215)"
      },
      "parent_node_id": "node_1643",
      "improvement_over_parent": null
    },
    "node_1645": {
      "node_id": "node_1645",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.27\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": 204.6813549212328,
      "fos_buckling": 1.2720406352588434,
      "fos_yielding": 5.965552984914628,
      "deflection": 0.01422045050816015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006258)"
      },
      "parent_node_id": "node_1644",
      "improvement_over_parent": null
    },
    "node_1646": {
      "node_id": "node_1646",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 243.00 kg\n  Factor of Safety: 1.46\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.0045383412761,
      "fos_buckling": 1.4586966819642255,
      "fos_yielding": 7.08431034610659,
      "deflection": 0.012028052319962186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_1645",
      "improvement_over_parent": null
    },
    "node_1647": {
      "node_id": "node_1647",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 243.71 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.70885918819712,
      "fos_buckling": 1.4353863056554104,
      "fos_yielding": 7.328124274516476,
      "deflection": 0.012003866035164332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_1646",
      "improvement_over_parent": null
    },
    "node_1648": {
      "node_id": "node_1648",
      "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n\nPerformance:\n  Mass: 243.84 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.8447888516038,
      "fos_buckling": 1.4316584958634553,
      "fos_yielding": 7.337532429956412,
      "deflection": 0.012003156133039917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.217)"
      },
      "parent_node_id": "node_1647",
      "improvement_over_parent": null
    },
    "node_1649": {
      "node_id": "node_1649",
      "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n\nPerformance:\n  Mass: 249.46 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.45977529104718,
      "fos_buckling": 1.4301304832932156,
      "fos_yielding": 7.770961023406894,
      "deflection": 0.011573389744207008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.366)"
      },
      "parent_node_id": "node_1648",
      "improvement_over_parent": null
    },
    "node_1650": {
      "node_id": "node_1650",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1649",
      "improvement_over_parent": null
    },
    "node_1651": {
      "node_id": "node_1651",
      "content": "INITIAL DESIGN (Trace 234)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 118.52 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.07e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.51952974311492,
      "fos_buckling": 0.5123219757325682,
      "fos_yielding": 2.912238148316127,
      "deflection": 0.0306851161621608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1652": {
      "node_id": "node_1652",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 146.35 kg\n  Factor of Safety: 0.62\n  Max Deflection: 2.49e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.34707713545578,
      "fos_buckling": 0.6219224461449475,
      "fos_yielding": 3.6152677250848404,
      "deflection": 0.024909961734051998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_1651",
      "improvement_over_parent": null
    },
    "node_1653": {
      "node_id": "node_1653",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n\nPerformance:\n  Mass: 147.96 kg\n  Factor of Safety: 0.62\n  Max Deflection: 2.30e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.96290727938236,
      "fos_buckling": 0.6246915547577565,
      "fos_yielding": 4.357633349721683,
      "deflection": 0.023004959931492944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002491)"
      },
      "parent_node_id": "node_1652",
      "improvement_over_parent": null
    },
    "node_1654": {
      "node_id": "node_1654",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n\nPerformance:\n  Mass: 168.10 kg\n  Factor of Safety: 0.70\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.09531148940718,
      "fos_buckling": 0.697901135182951,
      "fos_yielding": 4.940472175153489,
      "deflection": 0.020296243263768853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_1653",
      "improvement_over_parent": null
    },
    "node_1655": {
      "node_id": "node_1655",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n  Mass: 201.05 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.04877610038113,
      "fos_buckling": 0.8117630359260666,
      "fos_yielding": 5.889380532646646,
      "deflection": 0.01703321792460442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1654",
      "improvement_over_parent": null
    },
    "node_1656": {
      "node_id": "node_1656",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 217.67 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.66775087700185,
      "fos_buckling": 1.3605769818838327,
      "fos_yielding": 6.674606834219976,
      "deflection": 0.013271077695126837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006069)"
      },
      "parent_node_id": "node_1655",
      "improvement_over_parent": null
    },
    "node_1657": {
      "node_id": "node_1657",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3450288781106,
      "fos_buckling": 1.5340425410094336,
      "fos_yielding": 7.7410119141671005,
      "deflection": 0.01149263630096401,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_1656",
      "improvement_over_parent": null
    },
    "node_1658": {
      "node_id": "node_1658",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1657",
      "improvement_over_parent": null
    },
    "node_1659": {
      "node_id": "node_1659",
      "content": "INITIAL DESIGN (Trace 235)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 173.88 kg\n  Factor of Safety: 0.71\n  Max Deflection: 6.49e+11 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.8847910289323,
      "fos_buckling": 0.7115688680679065,
      "fos_yielding": 5.232844065358068,
      "deflection": 649146120171.0383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1660": {
      "node_id": "node_1660",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n\nPerformance:\n  Mass: 188.42 kg\n  Factor of Safety: 0.72\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.41532963898476,
      "fos_buckling": 0.7234953200566971,
      "fos_yielding": 5.319780055153459,
      "deflection": 0.020457777613964567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005495)"
      },
      "parent_node_id": "node_1659",
      "improvement_over_parent": null
    },
    "node_1661": {
      "node_id": "node_1661",
      "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0085)]\n\nPerformance:\n  Mass: 195.51 kg\n  Factor of Safety: 0.73\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.51069678417753,
      "fos_buckling": 0.7250268903659637,
      "fos_yielding": 5.330942370728101,
      "deflection": 0.020461385563565988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.555)"
      },
      "parent_node_id": "node_1660",
      "improvement_over_parent": null
    },
    "node_1662": {
      "node_id": "node_1662",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0085)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 212.30 kg\n  Factor of Safety: 0.77\n  Max Deflection: 2.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.30402907669315,
      "fos_buckling": 0.7695046052212257,
      "fos_yielding": 5.654921655807304,
      "deflection": 0.020402135971965166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006138)"
      },
      "parent_node_id": "node_1661",
      "improvement_over_parent": null
    },
    "node_1663": {
      "node_id": "node_1663",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0085)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 212.92 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.91812486271778,
      "fos_buckling": 0.6893146748288332,
      "fos_yielding": 3.9623377277206013,
      "deflection": 0.01849600152250304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001840)"
      },
      "parent_node_id": "node_1662",
      "improvement_over_parent": null
    },
    "node_1664": {
      "node_id": "node_1664",
      "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0078)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0085)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 218.16 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.15615846657306,
      "fos_buckling": 0.6877919193372278,
      "fos_yielding": 4.192279136244978,
      "deflection": 0.018317722678893093,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.460)"
      },
      "parent_node_id": "node_1663",
      "improvement_over_parent": null
    },
    "node_1665": {
      "node_id": "node_1665",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0091)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0099)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 249.93 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.93040098733047,
      "fos_buckling": 0.7712435346925687,
      "fos_yielding": 4.803939746278836,
      "deflection": 0.016015134457896246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1664",
      "improvement_over_parent": null
    },
    "node_1666": {
      "node_id": "node_1666",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0091)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0099)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.47639314839262,
      "fos_buckling": 1.2344170314435539,
      "fos_yielding": 7.756863968822804,
      "deflection": 0.012205459310338248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_1665",
      "improvement_over_parent": null
    },
    "node_1667": {
      "node_id": "node_1667",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1666",
      "improvement_over_parent": null
    },
    "node_1668": {
      "node_id": "node_1668",
      "content": "INITIAL DESIGN (Trace 236)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n\nPerformance:\n  Mass: 133.73 kg\n  Factor of Safety: 0.07\n  Max Deflection: 3.52e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.73369315279726,
      "fos_buckling": 0.06925307720165384,
      "fos_yielding": 0.05296610964849966,
      "deflection": 352165348717565.4,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1669": {
      "node_id": "node_1669",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n\nPerformance:\n  Mass: 144.79 kg\n  Factor of Safety: 0.30\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": 144.78617164012817,
      "fos_buckling": 0.30019614319831023,
      "fos_yielding": 3.6918117969357755,
      "deflection": 0.02171243411591981,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003953)"
      },
      "parent_node_id": "node_1668",
      "improvement_over_parent": null
    },
    "node_1670": {
      "node_id": "node_1670",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0025)]\n\nPerformance:\n  Mass: 152.21 kg\n  Factor of Safety: 0.81\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": 152.20949329669426,
      "fos_buckling": 0.8075604382504898,
      "fos_yielding": 3.892093959385155,
      "deflection": 0.01881120933666437,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.002546)"
      },
      "parent_node_id": "node_1669",
      "improvement_over_parent": null
    },
    "node_1671": {
      "node_id": "node_1671",
      "content": "MODIFICATION: Increase 15 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 156.34 kg\n  Factor of Safety: 0.82\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": 156.34242254711194,
      "fos_buckling": 0.8201637047837509,
      "fos_yielding": 3.893051139466049,
      "deflection": 0.01846004747911412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.587)"
      },
      "parent_node_id": "node_1670",
      "improvement_over_parent": null
    },
    "node_1672": {
      "node_id": "node_1672",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 179.83 kg\n  Factor of Safety: 0.93\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.83494339295012,
      "fos_buckling": 0.9333165488103423,
      "fos_yielding": 4.474024193854898,
      "deflection": 0.016091144588544274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_1671",
      "improvement_over_parent": null
    },
    "node_1673": {
      "node_id": "node_1673",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 219.06 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.05670637511085,
      "fos_buckling": 1.1165018374363305,
      "fos_yielding": 5.44306374864238,
      "deflection": 0.013268372041252398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1672",
      "improvement_over_parent": null
    },
    "node_1674": {
      "node_id": "node_1674",
      "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 219.73 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.73055004219307,
      "fos_buckling": 1.37118652462177,
      "fos_yielding": 6.7379597283214085,
      "deflection": 0.013149299827820019,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.618)"
      },
      "parent_node_id": "node_1673",
      "improvement_over_parent": null
    },
    "node_1675": {
      "node_id": "node_1675",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.53093517958735,
      "fos_buckling": 1.5348989577293188,
      "fos_yielding": 7.746668279221934,
      "deflection": 0.011484175340494134,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_1674",
      "improvement_over_parent": null
    },
    "node_1676": {
      "node_id": "node_1676",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1675",
      "improvement_over_parent": null
    },
    "node_1677": {
      "node_id": "node_1677",
      "content": "INITIAL DESIGN (Trace 237)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 162.29 kg\n  Factor of Safety: 0.33\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": 162.29027181743447,
      "fos_buckling": 0.3310788250292578,
      "fos_yielding": 4.108235972452732,
      "deflection": 0.019325897147489442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1678": {
      "node_id": "node_1678",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 175.21 kg\n  Factor of Safety: 1.13\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.20951358976404,
      "fos_buckling": 1.1321887581568502,
      "fos_yielding": 5.369681761444614,
      "deflection": 0.016407212270392806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004547)"
      },
      "parent_node_id": "node_1677",
      "improvement_over_parent": null
    },
    "node_1679": {
      "node_id": "node_1679",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 226.56 kg\n  Factor of Safety: 1.41\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": 226.55614118102733,
      "fos_buckling": 1.4060553164774037,
      "fos_yielding": 6.947385539366965,
      "deflection": 0.012763348602950914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_1678",
      "improvement_over_parent": null
    },
    "node_1680": {
      "node_id": "node_1680",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5325385618508,
      "fos_buckling": 1.5348473792549115,
      "fos_yielding": 7.746255490876292,
      "deflection": 0.011484351796606987,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_1679",
      "improvement_over_parent": null
    },
    "node_1681": {
      "node_id": "node_1681",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1680",
      "improvement_over_parent": null
    },
    "node_1682": {
      "node_id": "node_1682",
      "content": "INITIAL DESIGN (Trace 238)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 131.93 kg\n  Factor of Safety: 0.76\n  Max Deflection: 2.22e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.93445040743256,
      "fos_buckling": 0.7568256936599631,
      "fos_yielding": 4.057657944502873,
      "deflection": 0.022156393664698928,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1683": {
      "node_id": "node_1683",
      "content": "MODIFICATION: Increase 0 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 136.73 kg\n  Factor of Safety: 0.85\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": 136.72785584688103,
      "fos_buckling": 0.8531566588694246,
      "fos_yielding": 4.4655724199249835,
      "deflection": 0.020734251035046565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.634)"
      },
      "parent_node_id": "node_1682",
      "improvement_over_parent": null
    },
    "node_1684": {
      "node_id": "node_1684",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 172.39 kg\n  Factor of Safety: 1.05\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": 172.39483724738443,
      "fos_buckling": 1.0547545390687458,
      "fos_yielding": 5.630087615106843,
      "deflection": 0.016512748727853663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_1683",
      "improvement_over_parent": null
    },
    "node_1685": {
      "node_id": "node_1685",
      "content": "MODIFICATION: Increase 13 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 174.67 kg\n  Factor of Safety: 1.08\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": 174.67330716390993,
      "fos_buckling": 1.0836312253530713,
      "fos_yielding": 5.760526993384975,
      "deflection": 0.01638087429481143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.217)"
      },
      "parent_node_id": "node_1684",
      "improvement_over_parent": null
    },
    "node_1686": {
      "node_id": "node_1686",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 211.89 kg\n  Factor of Safety: 1.29\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": 211.89427564827704,
      "fos_buckling": 1.2853657233590083,
      "fos_yielding": 6.98575984670919,
      "deflection": 0.013561733624443507,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_1685",
      "improvement_over_parent": null
    },
    "node_1687": {
      "node_id": "node_1687",
      "content": "MODIFICATION: Increase 3 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 215.41 kg\n  Factor of Safety: 1.37\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": 215.4114425516905,
      "fos_buckling": 1.3653997408712089,
      "fos_yielding": 6.724836014536283,
      "deflection": 0.013350293317408422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.289)"
      },
      "parent_node_id": "node_1686",
      "improvement_over_parent": null
    },
    "node_1688": {
      "node_id": "node_1688",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 248.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 248.7881266455737,
      "fos_buckling": 1.5344969424445685,
      "fos_yielding": 7.768372940842406,
      "deflection": 0.011604050627068081,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_1687",
      "improvement_over_parent": null
    },
    "node_1689": {
      "node_id": "node_1689",
      "content": "MODIFICATION: Increase 2 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.39 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.38898840330341,
      "fos_buckling": 1.5339854650376452,
      "fos_yielding": 7.742195849515409,
      "deflection": 0.011490560780171901,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.335)"
      },
      "parent_node_id": "node_1688",
      "improvement_over_parent": null
    },
    "node_1690": {
      "node_id": "node_1690",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1689",
      "improvement_over_parent": null
    },
    "node_1691": {
      "node_id": "node_1691",
      "content": "INITIAL DESIGN (Trace 239)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n  Mass: 133.75 kg\n  Factor of Safety: 0.11\n  Max Deflection: 2.52e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.7503254521251,
      "fos_buckling": 0.1115124925500263,
      "fos_yielding": 1.666633842154536,
      "deflection": 0.025184968747733898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1692": {
      "node_id": "node_1692",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 145.66 kg\n  Factor of Safety: 0.28\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.6595724081858,
      "fos_buckling": 0.27606079465634425,
      "fos_yielding": 3.4345639673353787,
      "deflection": 0.021141249380600427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004171)"
      },
      "parent_node_id": "node_1691",
      "improvement_over_parent": null
    },
    "node_1693": {
      "node_id": "node_1693",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n\nPerformance:\n  Mass: 157.72 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.7176609608178,
      "fos_buckling": 1.0528637580109708,
      "fos_yielding": 4.718255306789499,
      "deflection": 0.018674698962250092,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004197)"
      },
      "parent_node_id": "node_1692",
      "improvement_over_parent": null
    },
    "node_1694": {
      "node_id": "node_1694",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n\nPerformance:\n  Mass: 174.34 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.33650693529017,
      "fos_buckling": 1.148558531175052,
      "fos_yielding": 5.216581773887638,
      "deflection": 0.01692336162677478,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_1693",
      "improvement_over_parent": null
    },
    "node_1695": {
      "node_id": "node_1695",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n  Mass: 210.54 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.5417622265089,
      "fos_buckling": 1.3471902991908034,
      "fos_yielding": 6.303106161199304,
      "deflection": 0.01406499698633312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_1694",
      "improvement_over_parent": null
    },
    "node_1696": {
      "node_id": "node_1696",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 246.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.20e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 246.65016200459795,
      "fos_buckling": 1.5319729566540472,
      "fos_yielding": 7.38802084812771,
      "deflection": 0.012049771266264317,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_1695",
      "improvement_over_parent": null
    },
    "node_1697": {
      "node_id": "node_1697",
      "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.43254226663456,
      "fos_buckling": 1.5344300936514064,
      "fos_yielding": 7.743044394184523,
      "deflection": 0.01148903183335543,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.312)"
      },
      "parent_node_id": "node_1696",
      "improvement_over_parent": null
    },
    "node_1698": {
      "node_id": "node_1698",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1697",
      "improvement_over_parent": null
    },
    "node_1699": {
      "node_id": "node_1699",
      "content": "INITIAL DESIGN (Trace 240)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 166.93 kg\n  Factor of Safety: 0.29\n  Max Deflection: 1.02e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.93219273905464,
      "fos_buckling": 0.29397214406569494,
      "fos_yielding": 0.4237288771879973,
      "deflection": 101920361005205.22,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1700": {
      "node_id": "node_1700",
      "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 169.90 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.12e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.90292833207548,
      "fos_buckling": 0.05451816083722617,
      "fos_yielding": 0.8474577543759946,
      "deflection": 111532811485027.61,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.328)"
      },
      "parent_node_id": "node_1699",
      "improvement_over_parent": null
    },
    "node_1701": {
      "node_id": "node_1701",
      "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 172.33 kg\n  Factor of Safety: 0.21\n  Max Deflection: 3.18e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.32713595089226,
      "fos_buckling": 0.2097478332560978,
      "fos_yielding": 0.8474577543759946,
      "deflection": 31839681840290.09,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.218)"
      },
      "parent_node_id": "node_1700",
      "improvement_over_parent": null
    },
    "node_1702": {
      "node_id": "node_1702",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 198.74 kg\n  Factor of Safety: 0.20\n  Max Deflection: 3.94e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.7379799854552,
      "fos_buckling": 0.2013031471385411,
      "fos_yielding": 0.8474577543759946,
      "deflection": 39411729983458.75,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1701",
      "improvement_over_parent": null
    },
    "node_1703": {
      "node_id": "node_1703",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 201.28 kg\n  Factor of Safety: 0.43\n  Max Deflection: 8.99e+12 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.28397214651736,
      "fos_buckling": 0.425957544037963,
      "fos_yielding": 3.3898310175039783,
      "deflection": 8989914097587.03,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_1702",
      "improvement_over_parent": null
    },
    "node_1704": {
      "node_id": "node_1704",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 228.42 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.4224957148998,
      "fos_buckling": 0.9163899226692275,
      "fos_yielding": 6.813697592008094,
      "deflection": 0.015152778103232433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_1703",
      "improvement_over_parent": null
    },
    "node_1705": {
      "node_id": "node_1705",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 247.69 kg\n  Factor of Safety: 1.38\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": 247.68873653580712,
      "fos_buckling": 1.3819549594796885,
      "fos_yielding": 8.046775728711417,
      "deflection": 0.011886621192467915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_1704",
      "improvement_over_parent": null
    },
    "node_1706": {
      "node_id": "node_1706",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0078)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 251.03 kg\n  Factor of Safety: 1.38\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.0266382386155,
      "fos_buckling": 1.3840924023176167,
      "fos_yielding": 8.0644291893574,
      "deflection": 0.011822363781070757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.256)"
      },
      "parent_node_id": "node_1705",
      "improvement_over_parent": null
    },
    "node_1707": {
      "node_id": "node_1707",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 241)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 243.56 kg\n  Factor of Safety: 1.22\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": 243.55933689125607,
      "fos_buckling": 1.2239001151851636,
      "fos_yielding": 7.65844772829566,
      "deflection": 0.012343462772184467,
      "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: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.61 kg\n  Factor of Safety: 1.30\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": 251.6087860961891,
      "fos_buckling": 1.2985782371714973,
      "fos_yielding": 7.787548843797889,
      "deflection": 0.01156194554444152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.517)"
      },
      "parent_node_id": "node_1708",
      "improvement_over_parent": null
    },
    "node_1710": {
      "node_id": "node_1710",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.94 kg\n  Factor of Safety: 1.30\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": 251.94370412908748,
      "fos_buckling": 1.2984770689782106,
      "fos_yielding": 7.7342570518914355,
      "deflection": 0.011527218539090405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.205)"
      },
      "parent_node_id": "node_1709",
      "improvement_over_parent": null
    },
    "node_1711": {
      "node_id": "node_1711",
      "content": "MODIFICATION: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4771028385416,
      "fos_buckling": 1.5345903789681477,
      "fos_yielding": 7.744207434086271,
      "deflection": 0.011486655730992848,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.529)"
      },
      "parent_node_id": "node_1710",
      "improvement_over_parent": null
    },
    "node_1712": {
      "node_id": "node_1712",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1711",
      "improvement_over_parent": null
    },
    "node_1713": {
      "node_id": "node_1713",
      "content": "INITIAL DESIGN (Trace 242)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 193.12 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.12228140704426,
      "fos_buckling": 0.385546650703055,
      "fos_yielding": 4.462665495549945,
      "deflection": 0.01603407490325442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1714": {
      "node_id": "node_1714",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n  Mass: 209.43 kg\n  Factor of Safety: 1.16\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": 209.43228574701956,
      "fos_buckling": 1.1621200676815733,
      "fos_yielding": 6.316670340949308,
      "deflection": 0.013840863054482243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005797)"
      },
      "parent_node_id": "node_1713",
      "improvement_over_parent": null
    },
    "node_1715": {
      "node_id": "node_1715",
      "content": "MODIFICATION: Increase 14 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0077)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n  Mass: 214.37 kg\n  Factor of Safety: 1.16\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": 214.37480637731616,
      "fos_buckling": 1.161677396363184,
      "fos_yielding": 6.298345854322417,
      "deflection": 0.013700883005155722,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.342)"
      },
      "parent_node_id": "node_1714",
      "improvement_over_parent": null
    },
    "node_1716": {
      "node_id": "node_1716",
      "content": "MODIFICATION: Increase 10 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0077)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n  Mass: 219.71 kg\n  Factor of Safety: 1.36\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": 219.7120697743075,
      "fos_buckling": 1.3641968051241864,
      "fos_yielding": 6.655112064690587,
      "deflection": 0.013209752667735648,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.318)"
      },
      "parent_node_id": "node_1715",
      "improvement_over_parent": null
    },
    "node_1717": {
      "node_id": "node_1717",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0091)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 253.84 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.83814419920455,
      "fos_buckling": 1.5340817527751254,
      "fos_yielding": 7.694606204472433,
      "deflection": 0.011475605846038076,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_1716",
      "improvement_over_parent": null
    },
    "node_1718": {
      "node_id": "node_1718",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1717",
      "improvement_over_parent": null
    },
    "node_1719": {
      "node_id": "node_1719",
      "content": "INITIAL DESIGN (Trace 243)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0011)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n\nPerformance:\n  Mass: 96.55 kg\n  Factor of Safety: 0.22\n  Max Deflection: 3.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 96.54764879117295,
      "fos_buckling": 0.21654575137140478,
      "fos_yielding": 2.5795863844013676,
      "deflection": 0.03098145851870779,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1720": {
      "node_id": "node_1720",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0013)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n\nPerformance:\n  Mass: 114.32 kg\n  Factor of Safety: 0.25\n  Max Deflection: 2.62e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.32172062921643,
      "fos_buckling": 0.2521457999483918,
      "fos_yielding": 3.041534655698414,
      "deflection": 0.026229062636990076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_1719",
      "improvement_over_parent": null
    },
    "node_1721": {
      "node_id": "node_1721",
      "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0019)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n\nPerformance:\n  Mass: 115.92 kg\n  Factor of Safety: 0.25\n  Max Deflection: 2.62e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.92361781228368,
      "fos_buckling": 0.25219194079965246,
      "fos_yielding": 3.0405950454250084,
      "deflection": 0.026232805907976196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.499)"
      },
      "parent_node_id": "node_1720",
      "improvement_over_parent": null
    },
    "node_1722": {
      "node_id": "node_1722",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n\nPerformance:\n  Mass: 151.85 kg\n  Factor of Safety: 0.32\n  Max Deflection: 2.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.8528025129146,
      "fos_buckling": 0.3193612128380961,
      "fos_yielding": 3.9492457111675137,
      "deflection": 0.02012495688782306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_1721",
      "improvement_over_parent": null
    },
    "node_1723": {
      "node_id": "node_1723",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 164.25 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.24686961482809,
      "fos_buckling": 1.0496095930700489,
      "fos_yielding": 5.18127839465618,
      "deflection": 0.017403567225677482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004351)"
      },
      "parent_node_id": "node_1722",
      "improvement_over_parent": null
    },
    "node_1724": {
      "node_id": "node_1724",
      "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 168.04 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.04034404242734,
      "fos_buckling": 1.0919626223423242,
      "fos_yielding": 5.149968745105334,
      "deflection": 0.017092662015829766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.623)"
      },
      "parent_node_id": "node_1723",
      "improvement_over_parent": null
    },
    "node_1725": {
      "node_id": "node_1725",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 205.38 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.37658619866593,
      "fos_buckling": 1.2962838460268904,
      "fos_yielding": 6.296897978458498,
      "deflection": 0.014045214270591765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_1724",
      "improvement_over_parent": null
    },
    "node_1726": {
      "node_id": "node_1726",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.51024908262272,
      "fos_buckling": 1.534822839602522,
      "fos_yielding": 7.746186753887482,
      "deflection": 0.011485029272318686,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_1725",
      "improvement_over_parent": null
    },
    "node_1727": {
      "node_id": "node_1727",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 244)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n\nPerformance:\n  Mass: 141.82 kg\n  Factor of Safety: 0.62\n  Max Deflection: 8.17e+11 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.8178788092909,
      "fos_buckling": 0.6240981425851297,
      "fos_yielding": 4.502634728470543,
      "deflection": 817058786547.2434,
      "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: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n\nPerformance:\n  Mass: 143.74 kg\n  Factor of Safety: 0.62\n  Max Deflection: 2.33e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.74067429953925,
      "fos_buckling": 0.6209465948125122,
      "fos_yielding": 4.4800657235298464,
      "deflection": 0.023256976971339566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002997)"
      },
      "parent_node_id": "node_1728",
      "improvement_over_parent": null
    },
    "node_1730": {
      "node_id": "node_1730",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n  Mass: 158.29 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.2883196193206,
      "fos_buckling": 0.6200774780137012,
      "fos_yielding": 4.473841467229274,
      "deflection": 0.019245952836140442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005259)"
      },
      "parent_node_id": "node_1729",
      "improvement_over_parent": null
    },
    "node_1731": {
      "node_id": "node_1731",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 172.34 kg\n  Factor of Safety: 0.71\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": 172.34443953927976,
      "fos_buckling": 0.7119857793103154,
      "fos_yielding": 4.148164351988447,
      "deflection": 0.01700718145423197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004975)"
      },
      "parent_node_id": "node_1730",
      "improvement_over_parent": null
    },
    "node_1732": {
      "node_id": "node_1732",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 191.70 kg\n  Factor of Safety: 0.78\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": 191.70469592302297,
      "fos_buckling": 0.780091388711345,
      "fos_yielding": 4.608748605952945,
      "deflection": 0.015319717128651189,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_1731",
      "improvement_over_parent": null
    },
    "node_1733": {
      "node_id": "node_1733",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 228.62 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.61906426767814,
      "fos_buckling": 0.9033311226638726,
      "fos_yielding": 5.48385525502526,
      "deflection": 0.01289419031892046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_1732",
      "improvement_over_parent": null
    },
    "node_1734": {
      "node_id": "node_1734",
      "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0100)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 236.50 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.49702446637667,
      "fos_buckling": 0.904035252552407,
      "fos_yielding": 5.975660077403564,
      "deflection": 0.01274723876518837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.513)"
      },
      "parent_node_id": "node_1733",
      "improvement_over_parent": null
    },
    "node_1735": {
      "node_id": "node_1735",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0100)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 253.17 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.16730827263376,
      "fos_buckling": 1.432748051329713,
      "fos_yielding": 8.356045301734612,
      "deflection": 0.011697702259433958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_1734",
      "improvement_over_parent": null
    },
    "node_1736": {
      "node_id": "node_1736",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1735",
      "improvement_over_parent": null
    },
    "node_1737": {
      "node_id": "node_1737",
      "content": "INITIAL DESIGN (Trace 245)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 174.87 kg\n  Factor of Safety: 0.57\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": 174.86756303574083,
      "fos_buckling": 0.5749538753533229,
      "fos_yielding": 4.121201956546325,
      "deflection": 0.020374654880522942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1738": {
      "node_id": "node_1738",
      "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 179.70 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.6954305490966,
      "fos_buckling": 0.574548830163207,
      "fos_yielding": 4.118298640121213,
      "deflection": 0.020184853363432755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.493)"
      },
      "parent_node_id": "node_1737",
      "improvement_over_parent": null
    },
    "node_1739": {
      "node_id": "node_1739",
      "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 186.06 kg\n  Factor of Safety: 0.77\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": 186.06494661193227,
      "fos_buckling": 0.7747678021326085,
      "fos_yielding": 5.57074862049906,
      "deflection": 0.018023817043886083,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.435)"
      },
      "parent_node_id": "node_1738",
      "improvement_over_parent": null
    },
    "node_1740": {
      "node_id": "node_1740",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 228.43 kg\n  Factor of Safety: 0.92\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": 228.4291249512568,
      "fos_buckling": 0.9164482859666432,
      "fos_yielding": 6.8100021126873935,
      "deflection": 0.014752126293957012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_1739",
      "improvement_over_parent": null
    },
    "node_1741": {
      "node_id": "node_1741",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 229.13 kg\n  Factor of Safety: 0.92\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": 229.13344579817783,
      "fos_buckling": 0.9163858047718104,
      "fos_yielding": 6.809537823457625,
      "deflection": 0.014735072519482651,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_1740",
      "improvement_over_parent": null
    },
    "node_1742": {
      "node_id": "node_1742",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.42 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.41928540027507,
      "fos_buckling": 1.5348460585270416,
      "fos_yielding": 7.742723972378456,
      "deflection": 0.011489408220995496,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_1741",
      "improvement_over_parent": null
    },
    "node_1743": {
      "node_id": "node_1743",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1742",
      "improvement_over_parent": null
    },
    "node_1744": {
      "node_id": "node_1744",
      "content": "INITIAL DESIGN (Trace 246)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0024)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 183.37 kg\n  Factor of Safety: 1.07\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": 183.3724603956263,
      "fos_buckling": 1.0749904851079763,
      "fos_yielding": 6.2066274515494095,
      "deflection": 0.01550336089635983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1745": {
      "node_id": "node_1745",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 214.23 kg\n  Factor of Safety: 1.23\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": 214.23283187924932,
      "fos_buckling": 1.2296485489478937,
      "fos_yielding": 7.2464002591273795,
      "deflection": 0.013315989192663183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_1744",
      "improvement_over_parent": null
    },
    "node_1746": {
      "node_id": "node_1746",
      "content": "MODIFICATION: Increase 12 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 216.60 kg\n  Factor of Safety: 1.31\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": 216.6045382893828,
      "fos_buckling": 1.305843946800184,
      "fos_yielding": 7.025690375268313,
      "deflection": 0.013209400701014309,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.316)"
      },
      "parent_node_id": "node_1745",
      "improvement_over_parent": null
    },
    "node_1747": {
      "node_id": "node_1747",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 247.61 kg\n  Factor of Safety: 1.46\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": 247.60512741256423,
      "fos_buckling": 1.4604844196809332,
      "fos_yielding": 8.028463294126537,
      "deflection": 0.011596523561325298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_1746",
      "improvement_over_parent": null
    },
    "node_1748": {
      "node_id": "node_1748",
      "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47864628562817,
      "fos_buckling": 1.5345578674410654,
      "fos_yielding": 7.744153182131664,
      "deflection": 0.011486879434363429,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.453)"
      },
      "parent_node_id": "node_1747",
      "improvement_over_parent": null
    },
    "node_1749": {
      "node_id": "node_1749",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1748",
      "improvement_over_parent": null
    },
    "node_1750": {
      "node_id": "node_1750",
      "content": "INITIAL DESIGN (Trace 247)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 128.96 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.95e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.9556506294204,
      "fos_buckling": 0.5720868341753849,
      "fos_yielding": 2.442167592818683,
      "deflection": 0.02953776673683226,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1751": {
      "node_id": "node_1751",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 143.74 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.65e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.73761038352671,
      "fos_buckling": 0.6296086993812599,
      "fos_yielding": 2.724073514681199,
      "deflection": 0.026525133835516964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_1750",
      "improvement_over_parent": null
    },
    "node_1752": {
      "node_id": "node_1752",
      "content": "MODIFICATION: Increase 0 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 149.19 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.28e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.19053783384248,
      "fos_buckling": 0.6292736714764592,
      "fos_yielding": 4.390534163224538,
      "deflection": 0.02282147343140559,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.647)"
      },
      "parent_node_id": "node_1751",
      "improvement_over_parent": null
    },
    "node_1753": {
      "node_id": "node_1753",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 182.86 kg\n  Factor of Safety: 0.75\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": 182.85878176788154,
      "fos_buckling": 0.7498692388002597,
      "fos_yielding": 5.363114858500167,
      "deflection": 0.01869106525016441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_1752",
      "improvement_over_parent": null
    },
    "node_1754": {
      "node_id": "node_1754",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 197.97 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.9734812375904,
      "fos_buckling": 1.257072724763918,
      "fos_yielding": 6.067894513436145,
      "deflection": 0.014558872445951582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005479)"
      },
      "parent_node_id": "node_1753",
      "improvement_over_parent": null
    },
    "node_1755": {
      "node_id": "node_1755",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.44 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4392909177059,
      "fos_buckling": 1.5347408009424393,
      "fos_yielding": 7.742108146146203,
      "deflection": 0.011488751559668896,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_1754",
      "improvement_over_parent": null
    },
    "node_1756": {
      "node_id": "node_1756",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 248)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 209.09 kg\n  Factor of Safety: 1.15\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": 209.0932375759835,
      "fos_buckling": 1.1465735074445613,
      "fos_yielding": 7.051906842881624,
      "deflection": 0.01405115393111094,
      "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 all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 241.95 kg\n  Factor of Safety: 1.30\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": 241.94630632498058,
      "fos_buckling": 1.3012096662642687,
      "fos_yielding": 8.155549601345422,
      "deflection": 0.012184747928682984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1757",
      "improvement_over_parent": null
    },
    "node_1759": {
      "node_id": "node_1759",
      "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 248.36 kg\n  Factor of Safety: 1.33\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": 248.361553030792,
      "fos_buckling": 1.3287650947254537,
      "fos_yielding": 7.714427021548182,
      "deflection": 0.011605484857812147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.376)"
      },
      "parent_node_id": "node_1758",
      "improvement_over_parent": null
    },
    "node_1760": {
      "node_id": "node_1760",
      "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.54295320039233,
      "fos_buckling": 1.5348456115724711,
      "fos_yielding": 7.745688158050083,
      "deflection": 0.011483528703028257,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.435)"
      },
      "parent_node_id": "node_1759",
      "improvement_over_parent": null
    },
    "node_1761": {
      "node_id": "node_1761",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1760",
      "improvement_over_parent": null
    },
    "node_1762": {
      "node_id": "node_1762",
      "content": "INITIAL DESIGN (Trace 249)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 148.95 kg\n  Factor of Safety: 0.98\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": 148.9531727630462,
      "fos_buckling": 0.9821520690262016,
      "fos_yielding": 4.563661940921585,
      "deflection": 0.019241228902329884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1763": {
      "node_id": "node_1763",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 182.64 kg\n  Factor of Safety: 1.17\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.63883561391899,
      "fos_buckling": 1.1734162992683614,
      "fos_yielding": 5.597883118753263,
      "deflection": 0.01575316337866767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_1762",
      "improvement_over_parent": null
    },
    "node_1764": {
      "node_id": "node_1764",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 211.59 kg\n  Factor of Safety: 1.33\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": 211.58919336820523,
      "fos_buckling": 1.3288886617461109,
      "fos_yielding": 6.487356219671732,
      "deflection": 0.013642836418443926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_1763",
      "improvement_over_parent": null
    },
    "node_1765": {
      "node_id": "node_1765",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4327961292523,
      "fos_buckling": 1.5343724356264763,
      "fos_yielding": 7.743239039938707,
      "deflection": 0.011488729736732,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1764",
      "improvement_over_parent": null
    },
    "node_1766": {
      "node_id": "node_1766",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1765",
      "improvement_over_parent": null
    },
    "node_1767": {
      "node_id": "node_1767",
      "content": "INITIAL DESIGN (Trace 250)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 152.30 kg\n  Factor of Safety: 0.71\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": 152.30083486448734,
      "fos_buckling": 0.7059722867262076,
      "fos_yielding": 2.0585999909430406,
      "deflection": 0.0225485677777615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1768": {
      "node_id": "node_1768",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 168.07 kg\n  Factor of Safety: 0.77\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.07206231112954,
      "fos_buckling": 0.7655228005496211,
      "fos_yielding": 2.2669182465821005,
      "deflection": 0.020474503387935106,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_1767",
      "improvement_over_parent": null
    },
    "node_1769": {
      "node_id": "node_1769",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 191.84 kg\n  Factor of Safety: 0.85\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": 191.83658679341627,
      "fos_buckling": 0.850633564249473,
      "fos_yielding": 2.5791065165976885,
      "deflection": 0.01799354771457893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_1768",
      "improvement_over_parent": null
    },
    "node_1770": {
      "node_id": "node_1770",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 206.56 kg\n  Factor of Safety: 0.90\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": 206.56109440207385,
      "fos_buckling": 0.9036633074512765,
      "fos_yielding": 4.921790281743145,
      "deflection": 0.0161661217889531,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_1769",
      "improvement_over_parent": null
    },
    "node_1771": {
      "node_id": "node_1771",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 229.85 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.8469340041711,
      "fos_buckling": 0.9015856373108962,
      "fos_yielding": 4.910588582071574,
      "deflection": 0.012754501786523714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_1770",
      "improvement_over_parent": null
    },
    "node_1772": {
      "node_id": "node_1772",
      "content": "MODIFICATION: Increase 13 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0097)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 236.92 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.92326464257175,
      "fos_buckling": 0.902216008991286,
      "fos_yielding": 5.214407000854187,
      "deflection": 0.01264478185510221,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.560)"
      },
      "parent_node_id": "node_1771",
      "improvement_over_parent": null
    },
    "node_1773": {
      "node_id": "node_1773",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0097)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 253.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.5935484488288,
      "fos_buckling": 1.5297578769410727,
      "fos_yielding": 7.728569478512612,
      "deflection": 0.011566187481540589,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_1772",
      "improvement_over_parent": null
    },
    "node_1774": {
      "node_id": "node_1774",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1773",
      "improvement_over_parent": null
    },
    "node_1775": {
      "node_id": "node_1775",
      "content": "INITIAL DESIGN (Trace 251)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 140.81 kg\n  Factor of Safety: 0.46\n  Max Deflection: 2.92e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.80826741961332,
      "fos_buckling": 0.4606012428711254,
      "fos_yielding": 2.4759396323282155,
      "deflection": 0.029215381089465718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1776": {
      "node_id": "node_1776",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n\nPerformance:\n  Mass: 157.96 kg\n  Factor of Safety: 0.98\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": 157.96454223276925,
      "fos_buckling": 0.9803699585588231,
      "fos_yielding": 4.879700004287917,
      "deflection": 0.018086231849613877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004973)"
      },
      "parent_node_id": "node_1775",
      "improvement_over_parent": null
    },
    "node_1777": {
      "node_id": "node_1777",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 196.14 kg\n  Factor of Safety: 1.19\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.14192545859288,
      "fos_buckling": 1.1856072449371375,
      "fos_yielding": 6.060975556441975,
      "deflection": 0.014630795620984868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_1776",
      "improvement_over_parent": null
    },
    "node_1778": {
      "node_id": "node_1778",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 249.80 kg\n  Factor of Safety: 1.45\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": 249.79869204732228,
      "fos_buckling": 1.4538762599646087,
      "fos_yielding": 7.7224124021169676,
      "deflection": 0.011559766845843367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_1777",
      "improvement_over_parent": null
    },
    "node_1779": {
      "node_id": "node_1779",
      "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.30 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.30074605881447,
      "fos_buckling": 1.5337225101794996,
      "fos_yielding": 7.739227297533461,
      "deflection": 0.011494529261512145,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.225)"
      },
      "parent_node_id": "node_1778",
      "improvement_over_parent": null
    },
    "node_1780": {
      "node_id": "node_1780",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1779",
      "improvement_over_parent": null
    },
    "node_1781": {
      "node_id": "node_1781",
      "content": "INITIAL DESIGN (Trace 252)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0021)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0021)]\n\nPerformance:\n  Mass: 117.34 kg\n  Factor of Safety: 0.67\n  Max Deflection: 2.42e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.33617209297068,
      "fos_buckling": 0.668209307041838,
      "fos_yielding": 4.097369037122283,
      "deflection": 0.02424197926876055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1782": {
      "node_id": "node_1782",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n  Mass: 149.54 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.54265161492836,
      "fos_buckling": 0.8356207557178108,
      "fos_yielding": 5.219025313292055,
      "deflection": 0.01909177504229866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_1781",
      "improvement_over_parent": null
    },
    "node_1783": {
      "node_id": "node_1783",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 179.57 kg\n  Factor of Safety: 0.99\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": 179.57065662329606,
      "fos_buckling": 0.9856514791285347,
      "fos_yielding": 6.263261341162626,
      "deflection": 0.015954070819266294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_1782",
      "improvement_over_parent": null
    },
    "node_1784": {
      "node_id": "node_1784",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 213.29 kg\n  Factor of Safety: 1.15\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": 213.2886048801844,
      "fos_buckling": 1.1472355731114174,
      "fos_yielding": 7.4337475165236295,
      "deflection": 0.01348374637248624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_1783",
      "improvement_over_parent": null
    },
    "node_1785": {
      "node_id": "node_1785",
      "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 219.18 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.17678696756528,
      "fos_buckling": 1.1474028691264306,
      "fos_yielding": 6.917799251917352,
      "deflection": 0.013100578123149235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.567)"
      },
      "parent_node_id": "node_1784",
      "improvement_over_parent": null
    },
    "node_1786": {
      "node_id": "node_1786",
      "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 219.42 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.42372097564103,
      "fos_buckling": 1.1591102823241317,
      "fos_yielding": 6.921599136410754,
      "deflection": 0.013077168447942463,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.221)"
      },
      "parent_node_id": "node_1785",
      "improvement_over_parent": null
    },
    "node_1787": {
      "node_id": "node_1787",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 247.03 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.02671747750622,
      "fos_buckling": 1.2838388143955874,
      "fos_yielding": 7.7929772506685975,
      "deflection": 0.011653385020674326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_1786",
      "improvement_over_parent": null
    },
    "node_1788": {
      "node_id": "node_1788",
      "content": "MODIFICATION: Increase 15 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.75 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.74528244512604,
      "fos_buckling": 1.535955410255479,
      "fos_yielding": 7.75288232245938,
      "deflection": 0.011474743576292265,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.486)"
      },
      "parent_node_id": "node_1787",
      "improvement_over_parent": null
    },
    "node_1789": {
      "node_id": "node_1789",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1788",
      "improvement_over_parent": null
    },
    "node_1790": {
      "node_id": "node_1790",
      "content": "INITIAL DESIGN (Trace 253)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 174.92 kg\n  Factor of Safety: 0.01\n  Max Deflection: 1.66e+15 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.9218336620035,
      "fos_buckling": 0.007353485952169877,
      "fos_yielding": 0.026483054824249827,
      "deflection": 1659921935106513.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1791": {
      "node_id": "node_1791",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n  Mass: 185.87 kg\n  Factor of Safety: 0.42\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": 185.87128672501524,
      "fos_buckling": 0.41669404518447933,
      "fos_yielding": 3.2858793664629196,
      "deflection": 0.02444753776031114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003892)"
      },
      "parent_node_id": "node_1790",
      "improvement_over_parent": null
    },
    "node_1792": {
      "node_id": "node_1792",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 186.47 kg\n  Factor of Safety: 0.42\n  Max Deflection: 2.44e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.47118705984903,
      "fos_buckling": 0.41666974440539484,
      "fos_yielding": 3.318914659900933,
      "deflection": 0.024364308307945195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001794)"
      },
      "parent_node_id": "node_1791",
      "improvement_over_parent": null
    },
    "node_1793": {
      "node_id": "node_1793",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n  Mass: 209.59 kg\n  Factor of Safety: 1.14\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": 209.58724370330248,
      "fos_buckling": 1.1449342521508918,
      "fos_yielding": 7.060127806186975,
      "deflection": 0.013811754082883395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006838)"
      },
      "parent_node_id": "node_1792",
      "improvement_over_parent": null
    },
    "node_1794": {
      "node_id": "node_1794",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 245.91 kg\n  Factor of Safety: 1.32\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": 245.9124680229983,
      "fos_buckling": 1.3199132104762792,
      "fos_yielding": 8.279800416306793,
      "deflection": 0.011818863142175748,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_1793",
      "improvement_over_parent": null
    },
    "node_1795": {
      "node_id": "node_1795",
      "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0125)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.52992743656546,
      "fos_buckling": 1.322944839331632,
      "fos_yielding": 7.812651060462807,
      "deflection": 0.011239801371670447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.538)"
      },
      "parent_node_id": "node_1794",
      "improvement_over_parent": null
    },
    "node_1796": {
      "node_id": "node_1796",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1795",
      "improvement_over_parent": null
    },
    "node_1797": {
      "node_id": "node_1797",
      "content": "INITIAL DESIGN (Trace 254)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 166.29 kg\n  Factor of Safety: 0.73\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": 166.28633136002844,
      "fos_buckling": 0.730134474640407,
      "fos_yielding": 5.202882087144564,
      "deflection": 0.019518563235750828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1798": {
      "node_id": "node_1798",
      "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 170.16 kg\n  Factor of Safety: 0.73\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": 170.15626497718677,
      "fos_buckling": 0.7299969044762068,
      "fos_yielding": 5.201901772739607,
      "deflection": 0.01930314738129517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.529)"
      },
      "parent_node_id": "node_1797",
      "improvement_over_parent": null
    },
    "node_1799": {
      "node_id": "node_1799",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n\nPerformance:\n  Mass: 187.83 kg\n  Factor of Safety: 1.14\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": 187.83257550198172,
      "fos_buckling": 1.1375472600757812,
      "fos_yielding": 5.864491289790611,
      "deflection": 0.015332089689905066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005596)"
      },
      "parent_node_id": "node_1798",
      "improvement_over_parent": null
    },
    "node_1800": {
      "node_id": "node_1800",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n  Mass: 188.37 kg\n  Factor of Safety: 1.13\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.36723194480965,
      "fos_buckling": 1.133976734187157,
      "fos_yielding": 6.119438025478584,
      "deflection": 0.015287782071569627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001585)"
      },
      "parent_node_id": "node_1799",
      "improvement_over_parent": null
    },
    "node_1801": {
      "node_id": "node_1801",
      "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n  Mass: 191.64 kg\n  Factor of Safety: 1.22\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": 191.64456677151512,
      "fos_buckling": 1.2226498645459032,
      "fos_yielding": 5.875233418935603,
      "deflection": 0.015028111224900338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.309)"
      },
      "parent_node_id": "node_1800",
      "improvement_over_parent": null
    },
    "node_1802": {
      "node_id": "node_1802",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 216.99 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.98624724071607,
      "fos_buckling": 1.3569572412688498,
      "fos_yielding": 6.654049912161467,
      "deflection": 0.0133114655572624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_1801",
      "improvement_over_parent": null
    },
    "node_1803": {
      "node_id": "node_1803",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3459785231104,
      "fos_buckling": 1.533937865379999,
      "fos_yielding": 7.741497666757053,
      "deflection": 0.011492375093906892,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_1802",
      "improvement_over_parent": null
    },
    "node_1804": {
      "node_id": "node_1804",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1803",
      "improvement_over_parent": null
    },
    "node_1805": {
      "node_id": "node_1805",
      "content": "INITIAL DESIGN (Trace 255)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 170.80 kg\n  Factor of Safety: 0.71\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": 170.7964115617168,
      "fos_buckling": 0.7133253008194991,
      "fos_yielding": 4.5672907418848325,
      "deflection": 0.020211735685058897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1806": {
      "node_id": "node_1806",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n\nPerformance:\n  Mass: 182.70 kg\n  Factor of Safety: 0.77\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": 182.7003646853276,
      "fos_buckling": 0.7699056548002234,
      "fos_yielding": 5.533433336344517,
      "deflection": 0.018233680815731262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004947)"
      },
      "parent_node_id": "node_1805",
      "improvement_over_parent": null
    },
    "node_1807": {
      "node_id": "node_1807",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 225.86 kg\n  Factor of Safety: 0.92\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": 225.85682862022634,
      "fos_buckling": 0.9159319249974576,
      "fos_yielding": 6.809305269641103,
      "deflection": 0.014823358045205026,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_1806",
      "improvement_over_parent": null
    },
    "node_1808": {
      "node_id": "node_1808",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 249.14 kg\n  Factor of Safety: 1.43\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": 249.14266822232358,
      "fos_buckling": 1.4254809176740186,
      "fos_yielding": 7.573369638441457,
      "deflection": 0.011585877091817185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_1807",
      "improvement_over_parent": null
    },
    "node_1809": {
      "node_id": "node_1809",
      "content": "MODIFICATION: Increase 13 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0082)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.78 kg\n  Factor of Safety: 1.43\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": 252.7810597272832,
      "fos_buckling": 1.4329669955930062,
      "fos_yielding": 7.558270132346267,
      "deflection": 0.011510633870713185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.220)"
      },
      "parent_node_id": "node_1808",
      "improvement_over_parent": null
    },
    "node_1810": {
      "node_id": "node_1810",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1809",
      "improvement_over_parent": null
    },
    "node_1811": {
      "node_id": "node_1811",
      "content": "INITIAL DESIGN (Trace 256)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\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_1812": {
      "node_id": "node_1812",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n\nPerformance:\n  Mass: 158.72 kg\n  Factor of Safety: 0.17\n  Max Deflection: 7.46e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.72139608494157,
      "fos_buckling": 0.169249028642249,
      "fos_yielding": 1.8179716888460142,
      "deflection": 74644342745027.7,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005099)"
      },
      "parent_node_id": "node_1811",
      "improvement_over_parent": null
    },
    "node_1813": {
      "node_id": "node_1813",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n\nPerformance:\n  Mass: 170.70 kg\n  Factor of Safety: 0.66\n  Max Deflection: 2.51e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.6968628193666,
      "fos_buckling": 0.6580712004676478,
      "fos_yielding": 4.794179316326133,
      "deflection": 0.025053081559780453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004979)"
      },
      "parent_node_id": "node_1812",
      "improvement_over_parent": null
    },
    "node_1814": {
      "node_id": "node_1814",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 171.27 kg\n  Factor of Safety: 0.35\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.2697530162558,
      "fos_buckling": 0.34890993331379955,
      "fos_yielding": 4.793135810873404,
      "deflection": 0.020554040295493778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001707)"
      },
      "parent_node_id": "node_1813",
      "improvement_over_parent": null
    },
    "node_1815": {
      "node_id": "node_1815",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 186.41 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.40999063849893,
      "fos_buckling": 0.7735616306245872,
      "fos_yielding": 5.564498228395503,
      "deflection": 0.01802588500745217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005388)"
      },
      "parent_node_id": "node_1814",
      "improvement_over_parent": null
    },
    "node_1816": {
      "node_id": "node_1816",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n\nPerformance:\n  Mass: 205.35 kg\n  Factor of Safety: 1.30\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": 205.34819893346457,
      "fos_buckling": 1.296064189668347,
      "fos_yielding": 6.29560115588781,
      "deflection": 0.014047429394477992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006026)"
      },
      "parent_node_id": "node_1815",
      "improvement_over_parent": null
    },
    "node_1817": {
      "node_id": "node_1817",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47607266688127,
      "fos_buckling": 1.5345804985298797,
      "fos_yielding": 7.744623074359476,
      "deflection": 0.011486792144049372,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_1816",
      "improvement_over_parent": null
    },
    "node_1818": {
      "node_id": "node_1818",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1817",
      "improvement_over_parent": null
    },
    "node_1819": {
      "node_id": "node_1819",
      "content": "INITIAL DESIGN (Trace 257)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 118.84 kg\n  Factor of Safety: 0.42\n  Max Deflection: 3.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.84458443733651,
      "fos_buckling": 0.4209278394863101,
      "fos_yielding": 2.9339125182016415,
      "deflection": 0.031349911835371606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1820": {
      "node_id": "node_1820",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 155.82 kg\n  Factor of Safety: 0.54\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.81682102247163,
      "fos_buckling": 0.5405765643369217,
      "fos_yielding": 3.8496488669465245,
      "deflection": 0.023985623726390255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_1819",
      "improvement_over_parent": null
    },
    "node_1821": {
      "node_id": "node_1821",
      "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 162.33 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.32822509764458,
      "fos_buckling": 0.6934263751853793,
      "fos_yielding": 4.752329216260705,
      "deflection": 0.021521127446817664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.475)"
      },
      "parent_node_id": "node_1820",
      "improvement_over_parent": null
    },
    "node_1822": {
      "node_id": "node_1822",
      "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 167.11 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.08e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.1112118593198,
      "fos_buckling": 0.6924729566949881,
      "fos_yielding": 4.166317775472248,
      "deflection": 0.020849583690905574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.328)"
      },
      "parent_node_id": "node_1821",
      "improvement_over_parent": null
    },
    "node_1823": {
      "node_id": "node_1823",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n\nPerformance:\n  Mass: 185.27 kg\n  Factor of Safety: 0.69\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": 185.27042660933571,
      "fos_buckling": 0.6912701173424465,
      "fos_yielding": 3.8739441915914528,
      "deflection": 0.016827727890607387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005760)"
      },
      "parent_node_id": "node_1822",
      "improvement_over_parent": null
    },
    "node_1824": {
      "node_id": "node_1824",
      "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n\nPerformance:\n  Mass: 185.59 kg\n  Factor of Safety: 0.69\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": 185.59354593472264,
      "fos_buckling": 0.6912273884522417,
      "fos_yielding": 3.9408234970101685,
      "deflection": 0.016733449143093167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.208)"
      },
      "parent_node_id": "node_1823",
      "improvement_over_parent": null
    },
    "node_1825": {
      "node_id": "node_1825",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 237.84 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.83578921303828,
      "fos_buckling": 0.8438070332761008,
      "fos_yielding": 5.003312505309313,
      "deflection": 0.013143273534444161,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1824",
      "improvement_over_parent": null
    },
    "node_1826": {
      "node_id": "node_1826",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.56029682169586,
      "fos_buckling": 1.5353077353868545,
      "fos_yielding": 7.75331382404484,
      "deflection": 0.011482147235759528,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_1825",
      "improvement_over_parent": null
    },
    "node_1827": {
      "node_id": "node_1827",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1826",
      "improvement_over_parent": null
    },
    "node_1828": {
      "node_id": "node_1828",
      "content": "INITIAL DESIGN (Trace 258)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_1829": {
      "node_id": "node_1829",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n\nPerformance:\n  Mass: 203.50 kg\n  Factor of Safety: 0.67\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": 203.49732579651013,
      "fos_buckling": 0.6684050178447212,
      "fos_yielding": 4.871390738551233,
      "deflection": 0.01832499020796599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006621)"
      },
      "parent_node_id": "node_1828",
      "improvement_over_parent": null
    },
    "node_1830": {
      "node_id": "node_1830",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n\nPerformance:\n  Mass: 205.76 kg\n  Factor of Safety: 0.67\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.75673027401962,
      "fos_buckling": 0.6681065198243353,
      "fos_yielding": 4.86923108262675,
      "deflection": 0.014555351085088085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003566)"
      },
      "parent_node_id": "node_1829",
      "improvement_over_parent": null
    },
    "node_1831": {
      "node_id": "node_1831",
      "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0076)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n\nPerformance:\n  Mass: 209.97 kg\n  Factor of Safety: 0.67\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": 209.97244297834104,
      "fos_buckling": 0.6683849879338949,
      "fos_yielding": 4.655057494218393,
      "deflection": 0.014469318256783435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.284)"
      },
      "parent_node_id": "node_1830",
      "improvement_over_parent": null
    },
    "node_1832": {
      "node_id": "node_1832",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0076)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n  Mass: 224.76 kg\n  Factor of Safety: 1.26\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": 224.76363288431554,
      "fos_buckling": 1.257947173525281,
      "fos_yielding": 6.6666972863204625,
      "deflection": 0.012929874981541653,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005602)"
      },
      "parent_node_id": "node_1831",
      "improvement_over_parent": null
    },
    "node_1833": {
      "node_id": "node_1833",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0087)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 253.16 kg\n  Factor of Safety: 1.40\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": 253.15586031458113,
      "fos_buckling": 1.3971274238944644,
      "fos_yielding": 7.515357650876088,
      "deflection": 0.011513886411719935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_1832",
      "improvement_over_parent": null
    },
    "node_1834": {
      "node_id": "node_1834",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1833",
      "improvement_over_parent": null
    },
    "node_1835": {
      "node_id": "node_1835",
      "content": "INITIAL DESIGN (Trace 259)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 173.83 kg\n  Factor of Safety: 0.68\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": 173.83483912706197,
      "fos_buckling": 0.6752380165050232,
      "fos_yielding": 4.937480633942448,
      "deflection": 0.017566940430207196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1836": {
      "node_id": "node_1836",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n\nPerformance:\n  Mass: 187.78 kg\n  Factor of Safety: 0.38\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": 187.77764230800415,
      "fos_buckling": 0.3823425254070401,
      "fos_yielding": 4.917909344466343,
      "deflection": 0.016675757677470465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005255)"
      },
      "parent_node_id": "node_1835",
      "improvement_over_parent": null
    },
    "node_1837": {
      "node_id": "node_1837",
      "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n\nPerformance:\n  Mass: 195.21 kg\n  Factor of Safety: 0.39\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": 195.20603966110383,
      "fos_buckling": 0.3863116303314146,
      "fos_yielding": 4.9144498493812305,
      "deflection": 0.01616853940923779,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.664)"
      },
      "parent_node_id": "node_1836",
      "improvement_over_parent": null
    },
    "node_1838": {
      "node_id": "node_1838",
      "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n\nPerformance:\n  Mass: 195.61 kg\n  Factor of Safety: 0.39\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": 195.61469867698264,
      "fos_buckling": 0.3868681079309391,
      "fos_yielding": 4.914449849381234,
      "deflection": 0.01610263338307193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.321)"
      },
      "parent_node_id": "node_1837",
      "improvement_over_parent": null
    },
    "node_1839": {
      "node_id": "node_1839",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 233.91 kg\n  Factor of Safety: 0.45\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": 233.90806966245378,
      "fos_buckling": 0.44607179698953253,
      "fos_yielding": 5.826027436894827,
      "deflection": 0.013532822512807465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1838",
      "improvement_over_parent": null
    },
    "node_1840": {
      "node_id": "node_1840",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 246.67 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.6748767060814,
      "fos_buckling": 1.2753142082445033,
      "fos_yielding": 7.7872494893342035,
      "deflection": 0.01166893679636835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004490)"
      },
      "parent_node_id": "node_1839",
      "improvement_over_parent": null
    },
    "node_1841": {
      "node_id": "node_1841",
      "content": "MODIFICATION: Increase 15 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5185281518729,
      "fos_buckling": 1.5348552471173453,
      "fos_yielding": 7.745978285188157,
      "deflection": 0.011484737728736523,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.502)"
      },
      "parent_node_id": "node_1840",
      "improvement_over_parent": null
    },
    "node_1842": {
      "node_id": "node_1842",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1841",
      "improvement_over_parent": null
    },
    "node_1843": {
      "node_id": "node_1843",
      "content": "INITIAL DESIGN (Trace 260)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0023)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0026)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0023)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0015)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0029)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0027)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0023)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0025)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0024)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0024)]\n\nPerformance:\n  Mass: 96.57 kg\n  Factor of Safety: 0.66\n  Max Deflection: 2.95e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 96.57127304718323,
      "fos_buckling": 0.6623411883147493,
      "fos_yielding": 2.9570054196634143,
      "deflection": 0.029499305909054217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1844": {
      "node_id": "node_1844",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n  Mass: 125.84 kg\n  Factor of Safety: 0.84\n  Max Deflection: 2.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.84034577577813,
      "fos_buckling": 0.8444182502653031,
      "fos_yielding": 3.8545090640835964,
      "deflection": 0.022714717136518243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_1843",
      "improvement_over_parent": null
    },
    "node_1845": {
      "node_id": "node_1845",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 160.98 kg\n  Factor of Safety: 1.05\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": 160.97859935735673,
      "fos_buckling": 1.0517168892621112,
      "fos_yielding": 4.9327767227682235,
      "deflection": 0.017828479884720683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1844",
      "improvement_over_parent": null
    },
    "node_1846": {
      "node_id": "node_1846",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 196.87 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.87259844203172,
      "fos_buckling": 1.2508799106427273,
      "fos_yielding": 6.035128894953713,
      "deflection": 0.014638037879098547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_1845",
      "improvement_over_parent": null
    },
    "node_1847": {
      "node_id": "node_1847",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.30 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.2965451516252,
      "fos_buckling": 1.5337137413427488,
      "fos_yielding": 7.7390475671325385,
      "deflection": 0.011494756234092986,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1846",
      "improvement_over_parent": null
    },
    "node_1848": {
      "node_id": "node_1848",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1847",
      "improvement_over_parent": null
    },
    "node_1849": {
      "node_id": "node_1849",
      "content": "INITIAL DESIGN (Trace 261)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 139.37 kg\n  Factor of Safety: 0.90\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": 139.36697089060198,
      "fos_buckling": 0.902498616101421,
      "fos_yielding": 4.449556787604028,
      "deflection": 0.020388090991066025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1850": {
      "node_id": "node_1850",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 181.62 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.62357535697797,
      "fos_buckling": 1.1430964570384425,
      "fos_yielding": 5.797699209677467,
      "deflection": 0.015720976160889424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_1849",
      "improvement_over_parent": null
    },
    "node_1851": {
      "node_id": "node_1851",
      "content": "MODIFICATION: Increase 12 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 184.33 kg\n  Factor of Safety: 1.18\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": 184.32969456936178,
      "fos_buckling": 1.1827494191895216,
      "fos_yielding": 5.650150434652969,
      "deflection": 0.015611463747570118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.305)"
      },
      "parent_node_id": "node_1850",
      "improvement_over_parent": null
    },
    "node_1852": {
      "node_id": "node_1852",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n  Mass: 228.95 kg\n  Factor of Safety: 1.42\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": 228.94963443127412,
      "fos_buckling": 1.4182327232761376,
      "fos_yielding": 7.021427689396476,
      "deflection": 0.0126331546007263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_1851",
      "improvement_over_parent": null
    },
    "node_1853": {
      "node_id": "node_1853",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.70 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.6965427877647,
      "fos_buckling": 1.53567923990997,
      "fos_yielding": 7.751795336255218,
      "deflection": 0.011476925678819652,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_1852",
      "improvement_over_parent": null
    },
    "node_1854": {
      "node_id": "node_1854",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1853",
      "improvement_over_parent": null
    },
    "node_1855": {
      "node_id": "node_1855",
      "content": "INITIAL DESIGN (Trace 262)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 188.06 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.0552880747564,
      "fos_buckling": 0.3711537274175596,
      "fos_yielding": 3.896052454709987,
      "deflection": 0.017053569033731515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1856": {
      "node_id": "node_1856",
      "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 188.58 kg\n  Factor of Safety: 0.35\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": 188.5829476488417,
      "fos_buckling": 0.3473675336855355,
      "fos_yielding": 4.984906253201691,
      "deflection": 0.016846329540928788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.460)"
      },
      "parent_node_id": "node_1855",
      "improvement_over_parent": null
    },
    "node_1857": {
      "node_id": "node_1857",
      "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 195.20 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.20132399800636,
      "fos_buckling": 0.34188853947248915,
      "fos_yielding": 4.981781239379595,
      "deflection": 0.016057527898128674,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.575)"
      },
      "parent_node_id": "node_1856",
      "improvement_over_parent": null
    },
    "node_1858": {
      "node_id": "node_1858",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 210.98 kg\n  Factor of Safety: 1.31\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": 210.98127859413017,
      "fos_buckling": 1.307323895800249,
      "fos_yielding": 5.490049297128858,
      "deflection": 0.01365891839923656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005634)"
      },
      "parent_node_id": "node_1857",
      "improvement_over_parent": null
    },
    "node_1859": {
      "node_id": "node_1859",
      "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 213.45 kg\n  Factor of Safety: 1.29\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": 213.45379792061635,
      "fos_buckling": 1.2935318060935737,
      "fos_yielding": 5.390075008112982,
      "deflection": 0.013590417577837032,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.229)"
      },
      "parent_node_id": "node_1858",
      "improvement_over_parent": null
    },
    "node_1860": {
      "node_id": "node_1860",
      "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 213.87 kg\n  Factor of Safety: 1.34\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": 213.86756654518527,
      "fos_buckling": 1.3414075531762852,
      "fos_yielding": 6.542218136504615,
      "deflection": 0.013494134718365742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.256)"
      },
      "parent_node_id": "node_1859",
      "improvement_over_parent": null
    },
    "node_1861": {
      "node_id": "node_1861",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.42 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.42069492896061,
      "fos_buckling": 1.5349917207543615,
      "fos_yielding": 7.725154597222596,
      "deflection": 0.011483469888406948,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_1860",
      "improvement_over_parent": null
    },
    "node_1862": {
      "node_id": "node_1862",
      "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.6030431179,
      "fos_buckling": 1.535204815290837,
      "fos_yielding": 7.749225679511983,
      "deflection": 0.011481143758300422,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.383)"
      },
      "parent_node_id": "node_1861",
      "improvement_over_parent": null
    },
    "node_1863": {
      "node_id": "node_1863",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1862",
      "improvement_over_parent": null
    },
    "node_1864": {
      "node_id": "node_1864",
      "content": "INITIAL DESIGN (Trace 263)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 213.27 kg\n  Factor of Safety: 0.62\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": 213.26525844552341,
      "fos_buckling": 0.617753672858736,
      "fos_yielding": 4.466062352572864,
      "deflection": 0.018282878401345664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1865": {
      "node_id": "node_1865",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 232.53 kg\n  Factor of Safety: 1.16\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": 232.53149926643073,
      "fos_buckling": 1.1626987040422818,
      "fos_yielding": 6.465501534365014,
      "deflection": 0.013331094280779148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_1864",
      "improvement_over_parent": null
    },
    "node_1866": {
      "node_id": "node_1866",
      "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0124)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 245.25 kg\n  Factor of Safety: 1.26\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": 245.24898924952888,
      "fos_buckling": 1.2581383052719886,
      "fos_yielding": 6.132293974013806,
      "deflection": 0.012912987542876042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.642)"
      },
      "parent_node_id": "node_1865",
      "improvement_over_parent": null
    },
    "node_1867": {
      "node_id": "node_1867",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0124)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 245.95 kg\n  Factor of Safety: 1.26\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": 245.9533100964499,
      "fos_buckling": 1.2582180997648518,
      "fos_yielding": 6.142806520439899,
      "deflection": 0.012914179261120729,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_1866",
      "improvement_over_parent": null
    },
    "node_1868": {
      "node_id": "node_1868",
      "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0124)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 255.16 kg\n  Factor of Safety: 1.26\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": 255.16435630224842,
      "fos_buckling": 1.2632466147109151,
      "fos_yielding": 6.610378848824442,
      "deflection": 0.011862619256926202,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.597)"
      },
      "parent_node_id": "node_1867",
      "improvement_over_parent": null
    },
    "node_1869": {
      "node_id": "node_1869",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1868",
      "improvement_over_parent": null
    },
    "node_1870": {
      "node_id": "node_1870",
      "content": "INITIAL DESIGN (Trace 264)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 226.91 kg\n  Factor of Safety: 0.85\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": 226.90919907796945,
      "fos_buckling": 0.8457347824726107,
      "fos_yielding": 5.059534991669626,
      "deflection": 0.01949073944356114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1871": {
      "node_id": "node_1871",
      "content": "MODIFICATION: Increase 6 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 227.30 kg\n  Factor of Safety: 0.85\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": 227.30111690501138,
      "fos_buckling": 0.84573478247261,
      "fos_yielding": 5.386752699337201,
      "deflection": 0.019453511530793985,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.401)"
      },
      "parent_node_id": "node_1870",
      "improvement_over_parent": null
    },
    "node_1872": {
      "node_id": "node_1872",
      "content": "MODIFICATION: Increase 12 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.26 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.2635988650064,
      "fos_buckling": 0.8443005283027707,
      "fos_yielding": 5.379452795961207,
      "deflection": 0.01945916872424748,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.508)"
      },
      "parent_node_id": "node_1871",
      "improvement_over_parent": null
    },
    "node_1873": {
      "node_id": "node_1873",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 251.06 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.05507455341083,
      "fos_buckling": 1.3170663019378357,
      "fos_yielding": 6.548666789961991,
      "deflection": 0.011611365152045494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_1872",
      "improvement_over_parent": null
    },
    "node_1874": {
      "node_id": "node_1874",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 251.76 kg\n  Factor of Safety: 1.31\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": 251.75939540033187,
      "fos_buckling": 1.3129386871359598,
      "fos_yielding": 6.52814362120805,
      "deflection": 0.011577128464479886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_1873",
      "improvement_over_parent": null
    },
    "node_1875": {
      "node_id": "node_1875",
      "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4635793133307,
      "fos_buckling": 1.534657250455396,
      "fos_yielding": 7.743418542398643,
      "deflection": 0.011486970698008095,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.541)"
      },
      "parent_node_id": "node_1874",
      "improvement_over_parent": null
    },
    "node_1876": {
      "node_id": "node_1876",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1875",
      "improvement_over_parent": null
    },
    "node_1877": {
      "node_id": "node_1877",
      "content": "INITIAL DESIGN (Trace 265)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0021)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0011)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0025)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0023)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0023)]\n\nPerformance:\n  Mass: 76.95 kg\n  Factor of Safety: 0.35\n  Max Deflection: 4.50e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 76.94555551402456,
      "fos_buckling": 0.3463334643559841,
      "fos_yielding": 1.9626169738798482,
      "deflection": 0.04502567559776911,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1878": {
      "node_id": "node_1878",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0021)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0011)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0025)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0023)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0023)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0022)]\n\nPerformance:\n  Mass: 83.30 kg\n  Factor of Safety: 0.37\n  Max Deflection: 4.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 83.30124110860403,
      "fos_buckling": 0.37061626325634955,
      "fos_yielding": 2.4694543849870922,
      "deflection": 0.040560871351412536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.002222)"
      },
      "parent_node_id": "node_1877",
      "improvement_over_parent": null
    },
    "node_1879": {
      "node_id": "node_1879",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0021)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0011)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0025)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0023)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0023)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0022)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n\nPerformance:\n  Mass: 90.18 kg\n  Factor of Safety: 0.62\n  Max Deflection: 3.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 90.18211756993185,
      "fos_buckling": 0.6214403747926036,
      "fos_yielding": 2.761218384112128,
      "deflection": 0.03156601324965347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.002402)"
      },
      "parent_node_id": "node_1878",
      "improvement_over_parent": null
    },
    "node_1880": {
      "node_id": "node_1880",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0029)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n\nPerformance:\n  Mass: 116.56 kg\n  Factor of Safety: 0.79\n  Max Deflection: 2.45e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.56486227080289,
      "fos_buckling": 0.7876329470906515,
      "fos_yielding": 3.570085668414362,
      "deflection": 0.024496072177672735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_1879",
      "improvement_over_parent": null
    },
    "node_1881": {
      "node_id": "node_1881",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n\nPerformance:\n  Mass: 147.29 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.28652464645705,
      "fos_buckling": 0.9723813570512388,
      "fos_yielding": 4.512593213787289,
      "deflection": 0.019455289809633854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_1880",
      "improvement_over_parent": null
    },
    "node_1882": {
      "node_id": "node_1882",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n  Mass: 172.68 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.67622866668955,
      "fos_buckling": 1.1179958600289754,
      "fos_yielding": 5.292020744230757,
      "deflection": 0.01664309128043279,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_1881",
      "improvement_over_parent": null
    },
    "node_1883": {
      "node_id": "node_1883",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 207.64 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.63554336330802,
      "fos_buckling": 1.3081173460450215,
      "fos_yielding": 6.365960904867444,
      "deflection": 0.013896382791996892,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_1882",
      "improvement_over_parent": null
    },
    "node_1884": {
      "node_id": "node_1884",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.26 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.26311167667652,
      "fos_buckling": 1.533527337172791,
      "fos_yielding": 7.738153057910424,
      "deflection": 0.011496269751359634,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1883",
      "improvement_over_parent": null
    },
    "node_1885": {
      "node_id": "node_1885",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 266)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n  Mass: 181.72 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.00e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.72150371375048,
      "fos_buckling": 0.3723837277366229,
      "fos_yielding": 4.919258673485165,
      "deflection": 0.020011752840117622,
      "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 all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 206.41 kg\n  Factor of Safety: 0.41\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": 206.4113928521731,
      "fos_buckling": 0.4120175904432825,
      "fos_yielding": 5.585457733572548,
      "deflection": 0.017665843976751888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_1886",
      "improvement_over_parent": null
    },
    "node_1888": {
      "node_id": "node_1888",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 225.03 kg\n  Factor of Safety: 0.92\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": 225.0269189085404,
      "fos_buckling": 0.916140957879393,
      "fos_yielding": 5.58042332948467,
      "deflection": 0.015597146023010442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_1887",
      "improvement_over_parent": null
    },
    "node_1889": {
      "node_id": "node_1889",
      "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 229.08 kg\n  Factor of Safety: 0.92\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": 229.07893602149264,
      "fos_buckling": 0.9157816165452388,
      "fos_yielding": 6.807674320840325,
      "deflection": 0.014740551293812689,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.242)"
      },
      "parent_node_id": "node_1888",
      "improvement_over_parent": null
    },
    "node_1890": {
      "node_id": "node_1890",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n\nPerformance:\n  Mass: 246.91 kg\n  Factor of Safety: 1.46\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": 246.90563229604984,
      "fos_buckling": 1.4628371564706142,
      "fos_yielding": 8.114588416444777,
      "deflection": 0.011724298694894957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005647)"
      },
      "parent_node_id": "node_1889",
      "improvement_over_parent": null
    },
    "node_1891": {
      "node_id": "node_1891",
      "content": "MODIFICATION: Increase 11 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0085)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n\nPerformance:\n  Mass: 251.84 kg\n  Factor of Safety: 1.46\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.8382673039644,
      "fos_buckling": 1.4603282515184355,
      "fos_yielding": 7.919620006809257,
      "deflection": 0.01165382864213679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.337)"
      },
      "parent_node_id": "node_1890",
      "improvement_over_parent": null
    },
    "node_1892": {
      "node_id": "node_1892",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1891",
      "improvement_over_parent": null
    },
    "node_1893": {
      "node_id": "node_1893",
      "content": "INITIAL DESIGN (Trace 267)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_1894": {
      "node_id": "node_1894",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n\nPerformance:\n  Mass: 224.67 kg\n  Factor of Safety: 0.92\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": 224.66860317285006,
      "fos_buckling": 0.9165534746951628,
      "fos_yielding": 6.81499835420125,
      "deflection": 0.014726056758787227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004615)"
      },
      "parent_node_id": "node_1893",
      "improvement_over_parent": null
    },
    "node_1895": {
      "node_id": "node_1895",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 243.93 kg\n  Factor of Safety: 1.41\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": 243.93484399375737,
      "fos_buckling": 1.412192666973574,
      "fos_yielding": 8.438389110839719,
      "deflection": 0.01190027910242317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_1894",
      "improvement_over_parent": null
    },
    "node_1896": {
      "node_id": "node_1896",
      "content": "MODIFICATION: Increase 11 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0111)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 254.11 kg\n  Factor of Safety: 1.41\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": 254.10912196029903,
      "fos_buckling": 1.4126276391640016,
      "fos_yielding": 8.85788493686202,
      "deflection": 0.01172846786396874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.634)"
      },
      "parent_node_id": "node_1895",
      "improvement_over_parent": null
    },
    "node_1897": {
      "node_id": "node_1897",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1896",
      "improvement_over_parent": null
    },
    "node_1898": {
      "node_id": "node_1898",
      "content": "INITIAL DESIGN (Trace 268)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 184.65 kg\n  Factor of Safety: 1.00\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": 184.6493208476587,
      "fos_buckling": 0.9984130032726104,
      "fos_yielding": 5.625847143231518,
      "deflection": 0.01564894313721809,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1899": {
      "node_id": "node_1899",
      "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 188.71 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.70504599048027,
      "fos_buckling": 0.9975252788202065,
      "fos_yielding": 6.025061916374329,
      "deflection": 0.015181093923607595,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.259)"
      },
      "parent_node_id": "node_1898",
      "improvement_over_parent": null
    },
    "node_1900": {
      "node_id": "node_1900",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 222.28 kg\n  Factor of Safety: 1.15\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": 222.28370439150183,
      "fos_buckling": 1.1529235648925922,
      "fos_yielding": 7.090975697038311,
      "deflection": 0.012938258886117522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_1899",
      "improvement_over_parent": null
    },
    "node_1901": {
      "node_id": "node_1901",
      "content": "MODIFICATION: Increase 15 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 227.86 kg\n  Factor of Safety: 1.40\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": 227.86014992337826,
      "fos_buckling": 1.401699169494077,
      "fos_yielding": 7.056612236202728,
      "deflection": 0.012719544660328399,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.538)"
      },
      "parent_node_id": "node_1900",
      "improvement_over_parent": null
    },
    "node_1902": {
      "node_id": "node_1902",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.92 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 251.91684162633206,
      "fos_buckling": 1.5200427372523375,
      "fos_yielding": 7.803249926286318,
      "deflection": 0.011536227164622406,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1901",
      "improvement_over_parent": null
    },
    "node_1903": {
      "node_id": "node_1903",
      "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.31 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.30758141699383,
      "fos_buckling": 1.533195950405089,
      "fos_yielding": 7.738930501697487,
      "deflection": 0.011494401723635158,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.247)"
      },
      "parent_node_id": "node_1902",
      "improvement_over_parent": null
    },
    "node_1904": {
      "node_id": "node_1904",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1903",
      "improvement_over_parent": null
    },
    "node_1905": {
      "node_id": "node_1905",
      "content": "INITIAL DESIGN (Trace 269)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 149.66 kg\n  Factor of Safety: 0.65\n  Max Deflection: 2.53e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.65833078502746,
      "fos_buckling": 0.6519362032403545,
      "fos_yielding": 3.5009779196465005,
      "deflection": 0.025266223838664146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1906": {
      "node_id": "node_1906",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 163.63 kg\n  Factor of Safety: 0.65\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": 163.63298748222897,
      "fos_buckling": 0.6510612701048932,
      "fos_yielding": 3.222275913089459,
      "deflection": 0.019547257144568796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005038)"
      },
      "parent_node_id": "node_1905",
      "improvement_over_parent": null
    },
    "node_1907": {
      "node_id": "node_1907",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n  Mass: 174.31 kg\n  Factor of Safety: 0.97\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": 174.3126897216743,
      "fos_buckling": 0.9659363764244389,
      "fos_yielding": 3.904586535078722,
      "deflection": 0.017203835346372556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004404)"
      },
      "parent_node_id": "node_1906",
      "improvement_over_parent": null
    },
    "node_1908": {
      "node_id": "node_1908",
      "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n  Mass: 174.82 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.72e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.81606444416474,
      "fos_buckling": 0.9666819782318151,
      "fos_yielding": 3.907600467309319,
      "deflection": 0.01716748239366951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.466)"
      },
      "parent_node_id": "node_1907",
      "improvement_over_parent": null
    },
    "node_1909": {
      "node_id": "node_1909",
      "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n  Mass: 175.17 kg\n  Factor of Safety: 0.96\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.17466366602667,
      "fos_buckling": 0.9601747980595169,
      "fos_yielding": 3.881296614693127,
      "deflection": 0.017110087965629957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.252)"
      },
      "parent_node_id": "node_1908",
      "improvement_over_parent": null
    },
    "node_1910": {
      "node_id": "node_1910",
      "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n  Mass: 179.96 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.95746297844352,
      "fos_buckling": 1.0326650634581935,
      "fos_yielding": 4.174322657720607,
      "deflection": 0.01636930103841142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.443)"
      },
      "parent_node_id": "node_1909",
      "improvement_over_parent": null
    },
    "node_1911": {
      "node_id": "node_1911",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0041)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n  Mass: 220.98 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.9808998842983,
      "fos_buckling": 1.2490263931461991,
      "fos_yielding": 5.149612154862435,
      "deflection": 0.013385287372200029,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1910",
      "improvement_over_parent": null
    },
    "node_1912": {
      "node_id": "node_1912",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0047)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 248.16 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.16302986298555,
      "fos_buckling": 1.3883656801038349,
      "fos_yielding": 5.801508937156338,
      "deflection": 0.01195133244598938,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_1911",
      "improvement_over_parent": null
    },
    "node_1913": {
      "node_id": "node_1913",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 270)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 100.95 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.60e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 100.9475959066049,
      "fos_buckling": 0.2461956199865208,
      "fos_yielding": 2.5138526775434524,
      "deflection": 35975661038786.93,
      "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 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n\nPerformance:\n  Mass: 102.26 kg\n  Factor of Safety: 0.25\n  Max Deflection: 5.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 102.25995252174863,
      "fos_buckling": 0.25100979142690627,
      "fos_yielding": 0.985346133126377,
      "deflection": 0.05444185765835206,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002002)"
      },
      "parent_node_id": "node_1914",
      "improvement_over_parent": null
    },
    "node_1916": {
      "node_id": "node_1916",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n\nPerformance:\n  Mass: 115.21 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.2083199605096,
      "fos_buckling": 0.5194693232819007,
      "fos_yielding": 3.552135823856512,
      "deflection": 0.028212751491897697,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004012)"
      },
      "parent_node_id": "node_1915",
      "improvement_over_parent": null
    },
    "node_1917": {
      "node_id": "node_1917",
      "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n\nPerformance:\n  Mass: 118.14 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.13754953404981,
      "fos_buckling": 0.5193203669588701,
      "fos_yielding": 3.5511172592031004,
      "deflection": 0.028220830807619,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.437)"
      },
      "parent_node_id": "node_1916",
      "improvement_over_parent": null
    },
    "node_1918": {
      "node_id": "node_1918",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n\nPerformance:\n  Mass: 130.14 kg\n  Factor of Safety: 0.87\n  Max Deflection: 2.20e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.14140678549705,
      "fos_buckling": 0.8704396257995195,
      "fos_yielding": 3.9863386269393133,
      "deflection": 0.021975040278206747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003718)"
      },
      "parent_node_id": "node_1917",
      "improvement_over_parent": null
    },
    "node_1919": {
      "node_id": "node_1919",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n\nPerformance:\n  Mass: 163.25 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.76e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.24714445507786,
      "fos_buckling": 1.0646642063891325,
      "fos_yielding": 5.002287894942966,
      "deflection": 0.017585414728443834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_1918",
      "improvement_over_parent": null
    },
    "node_1920": {
      "node_id": "node_1920",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n\nPerformance:\n  Mass: 199.16 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.1557758310361,
      "fos_buckling": 1.2631020008734948,
      "fos_yielding": 6.105122587300735,
      "deflection": 0.014474087737360211,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1919",
      "improvement_over_parent": null
    },
    "node_1921": {
      "node_id": "node_1921",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49194036960102,
      "fos_buckling": 1.534634118727364,
      "fos_yielding": 7.744869800025438,
      "deflection": 0.011486183513553289,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_1920",
      "improvement_over_parent": null
    },
    "node_1922": {
      "node_id": "node_1922",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 271)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 171.57 kg\n  Factor of Safety: 0.73\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": 171.5704991406907,
      "fos_buckling": 0.7297465115873359,
      "fos_yielding": 4.4377149259189945,
      "deflection": 0.020165850725059487,
      "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 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 171.99 kg\n  Factor of Safety: 0.73\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.99129117214002,
      "fos_buckling": 0.7297465115873359,
      "fos_yielding": 4.4377149259189945,
      "deflection": 0.020165850725059487,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.377)"
      },
      "parent_node_id": "node_1923",
      "improvement_over_parent": null
    },
    "node_1925": {
      "node_id": "node_1925",
      "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 174.48 kg\n  Factor of Safety: 0.73\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": 174.4790942473501,
      "fos_buckling": 0.7295698047895492,
      "fos_yielding": 5.195643579191415,
      "deflection": 0.019293352912807225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.183)"
      },
      "parent_node_id": "node_1924",
      "improvement_over_parent": null
    },
    "node_1926": {
      "node_id": "node_1926",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 206.66 kg\n  Factor of Safety: 0.84\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": 206.65501279504693,
      "fos_buckling": 0.8403450052081867,
      "fos_yielding": 6.132746962236152,
      "deflection": 0.016352164963512963,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_1925",
      "improvement_over_parent": null
    },
    "node_1927": {
      "node_id": "node_1927",
      "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 209.57 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.5719778428994,
      "fos_buckling": 0.8401072550788674,
      "fos_yielding": 6.131011887505752,
      "deflection": 0.016356677464209917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.176)"
      },
      "parent_node_id": "node_1926",
      "improvement_over_parent": null
    },
    "node_1928": {
      "node_id": "node_1928",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 226.89 kg\n  Factor of Safety: 1.41\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": 226.89143525461645,
      "fos_buckling": 1.4078881476890361,
      "fos_yielding": 6.9584322160236205,
      "deflection": 0.012745149899050982,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006347)"
      },
      "parent_node_id": "node_1927",
      "improvement_over_parent": null
    },
    "node_1929": {
      "node_id": "node_1929",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49344633441547,
      "fos_buckling": 1.5347936146412153,
      "fos_yielding": 7.745862642153733,
      "deflection": 0.011486236165388793,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_1928",
      "improvement_over_parent": null
    },
    "node_1930": {
      "node_id": "node_1930",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1929",
      "improvement_over_parent": null
    },
    "node_1931": {
      "node_id": "node_1931",
      "content": "INITIAL DESIGN (Trace 272)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 157.77 kg\n  Factor of Safety: 0.66\n  Max Deflection: 2.21e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.7701396177842,
      "fos_buckling": 0.6588882981116974,
      "fos_yielding": 3.9644102473672733,
      "deflection": 0.02208674190281944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1932": {
      "node_id": "node_1932",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n\nPerformance:\n  Mass: 168.60 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.6019989281533,
      "fos_buckling": 0.71042332291457,
      "fos_yielding": 5.041975937856924,
      "deflection": 0.019889307026849417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004471)"
      },
      "parent_node_id": "node_1931",
      "improvement_over_parent": null
    },
    "node_1933": {
      "node_id": "node_1933",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n\nPerformance:\n  Mass: 185.73 kg\n  Factor of Safety: 1.19\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": 185.73116889380196,
      "fos_buckling": 1.190414244042145,
      "fos_yielding": 5.692912205008775,
      "deflection": 0.015496339199573005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005411)"
      },
      "parent_node_id": "node_1932",
      "improvement_over_parent": null
    },
    "node_1934": {
      "node_id": "node_1934",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n  Mass: 215.98 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.97623200839115,
      "fos_buckling": 1.3517345739480484,
      "fos_yielding": 6.622250622649141,
      "deflection": 0.013372383916488538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_1933",
      "improvement_over_parent": null
    },
    "node_1935": {
      "node_id": "node_1935",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.35236376972736,
      "fos_buckling": 1.533983091565527,
      "fos_yielding": 7.740828633759325,
      "deflection": 0.011492267242962192,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_1934",
      "improvement_over_parent": null
    },
    "node_1936": {
      "node_id": "node_1936",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1935",
      "improvement_over_parent": null
    },
    "node_1937": {
      "node_id": "node_1937",
      "content": "INITIAL DESIGN (Trace 273)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 119.71 kg\n  Factor of Safety: 0.49\n  Max Deflection: 3.09e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.71282018257885,
      "fos_buckling": 0.48706131218042986,
      "fos_yielding": 3.4085887689665304,
      "deflection": 0.030897636351491935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1938": {
      "node_id": "node_1938",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 139.38 kg\n  Factor of Safety: 0.56\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": 139.38470379333253,
      "fos_buckling": 0.5570672644939824,
      "fos_yielding": 3.956404998831182,
      "deflection": 0.026589618479239855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_1937",
      "improvement_over_parent": null
    },
    "node_1939": {
      "node_id": "node_1939",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n\nPerformance:\n  Mass: 154.71 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.14e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.70981165418885,
      "fos_buckling": 0.5562357703698763,
      "fos_yielding": 3.9505380885217942,
      "deflection": 0.02143336396334192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004807)"
      },
      "parent_node_id": "node_1938",
      "improvement_over_parent": null
    },
    "node_1940": {
      "node_id": "node_1940",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n\nPerformance:\n  Mass: 200.27 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.27227022485437,
      "fos_buckling": 0.6928778586043891,
      "fos_yielding": 5.0789620588920235,
      "deflection": 0.016630673990239386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_1939",
      "improvement_over_parent": null
    },
    "node_1941": {
      "node_id": "node_1941",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 200.87 kg\n  Factor of Safety: 0.79\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": 200.8724797873297,
      "fos_buckling": 0.789164352288733,
      "fos_yielding": 4.672854201799122,
      "deflection": 0.014679091821221244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001795)"
      },
      "parent_node_id": "node_1940",
      "improvement_over_parent": null
    },
    "node_1942": {
      "node_id": "node_1942",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n  Mass: 215.07 kg\n  Factor of Safety: 1.35\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": 215.0729443569967,
      "fos_buckling": 1.3470602710060986,
      "fos_yielding": 6.5941141163453185,
      "deflection": 0.013427264534829725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005360)"
      },
      "parent_node_id": "node_1941",
      "improvement_over_parent": null
    },
    "node_1943": {
      "node_id": "node_1943",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.28 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.2784003770801,
      "fos_buckling": 1.533642702960743,
      "fos_yielding": 7.738123862334573,
      "deflection": 0.011495625390543718,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_1942",
      "improvement_over_parent": null
    },
    "node_1944": {
      "node_id": "node_1944",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1943",
      "improvement_over_parent": null
    },
    "node_1945": {
      "node_id": "node_1945",
      "content": "INITIAL DESIGN (Trace 274)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 118.83 kg\n  Factor of Safety: 0.32\n  Max Deflection: 4.93e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.8328764513785,
      "fos_buckling": 0.32157785819790013,
      "fos_yielding": 0.882416513251388,
      "deflection": 0.04925347000018019,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1946": {
      "node_id": "node_1946",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 130.94 kg\n  Factor of Safety: 0.32\n  Max Deflection: 4.49e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.93899228494894,
      "fos_buckling": 0.32138742539148146,
      "fos_yielding": 1.2950573779160945,
      "deflection": 0.04486274620863593,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004353)"
      },
      "parent_node_id": "node_1945",
      "improvement_over_parent": null
    },
    "node_1947": {
      "node_id": "node_1947",
      "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 131.45 kg\n  Factor of Safety: 0.32\n  Max Deflection: 4.40e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.44632923351983,
      "fos_buckling": 0.3213874253914818,
      "fos_yielding": 1.2950573779160945,
      "deflection": 0.04397060087395095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.572)"
      },
      "parent_node_id": "node_1946",
      "improvement_over_parent": null
    },
    "node_1948": {
      "node_id": "node_1948",
      "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 136.25 kg\n  Factor of Safety: 0.32\n  Max Deflection: 4.40e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.25046128972116,
      "fos_buckling": 0.3212364449997427,
      "fos_yielding": 1.2944529814824457,
      "deflection": 0.04399072176477365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.486)"
      },
      "parent_node_id": "node_1947",
      "improvement_over_parent": null
    },
    "node_1949": {
      "node_id": "node_1949",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n\nPerformance:\n  Mass: 154.72 kg\n  Factor of Safety: 0.32\n  Max Deflection: 3.50e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.71970580177293,
      "fos_buckling": 0.32065732704550276,
      "fos_yielding": 1.2921346536416574,
      "deflection": 0.034984273061359504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005377)"
      },
      "parent_node_id": "node_1948",
      "improvement_over_parent": null
    },
    "node_1950": {
      "node_id": "node_1950",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 178.95 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.03e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.94526507387758,
      "fos_buckling": 0.3632825483662532,
      "fos_yielding": 1.48948450257987,
      "deflection": 0.030340659803608207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1949",
      "improvement_over_parent": null
    },
    "node_1951": {
      "node_id": "node_1951",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 198.73 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.72867507281512,
      "fos_buckling": 1.2605416245386745,
      "fos_yielding": 6.0917599344949735,
      "deflection": 0.014503571766871767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006282)"
      },
      "parent_node_id": "node_1950",
      "improvement_over_parent": null
    },
    "node_1952": {
      "node_id": "node_1952",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.14 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.14029795527682,
      "fos_buckling": 1.5326111147163506,
      "fos_yielding": 7.733752308778015,
      "deflection": 0.011501036170135278,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1951",
      "improvement_over_parent": null
    },
    "node_1953": {
      "node_id": "node_1953",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1952",
      "improvement_over_parent": null
    },
    "node_1954": {
      "node_id": "node_1954",
      "content": "INITIAL DESIGN (Trace 275)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 195.64 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.99e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.64160171684463,
      "fos_buckling": 0.40288961020866304,
      "fos_yielding": 1.6086289293565121,
      "deflection": 0.02993254548758292,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1955": {
      "node_id": "node_1955",
      "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 200.11 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.96e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.10534421707425,
      "fos_buckling": 0.40280220113170434,
      "fos_yielding": 1.679904816366194,
      "deflection": 0.029631024139712248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.560)"
      },
      "parent_node_id": "node_1954",
      "improvement_over_parent": null
    },
    "node_1956": {
      "node_id": "node_1956",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n\nPerformance:\n  Mass: 201.61 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.70e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.61210232607758,
      "fos_buckling": 0.4026842398469114,
      "fos_yielding": 1.679417041717706,
      "deflection": 0.026965455614518213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002314)"
      },
      "parent_node_id": "node_1955",
      "improvement_over_parent": null
    },
    "node_1957": {
      "node_id": "node_1957",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n\nPerformance:\n  Mass: 226.39 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.41e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.3901311597464,
      "fos_buckling": 0.44237136848233266,
      "fos_yielding": 1.8793959626099253,
      "deflection": 0.024090330753634006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_1956",
      "improvement_over_parent": null
    },
    "node_1958": {
      "node_id": "node_1958",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 251.51 kg\n  Factor of Safety: 1.29\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": 251.51227281159325,
      "fos_buckling": 1.294781515158986,
      "fos_yielding": 5.378645009003293,
      "deflection": 0.011658391684608867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_1957",
      "improvement_over_parent": null
    },
    "node_1959": {
      "node_id": "node_1959",
      "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.28 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.28138086976358,
      "fos_buckling": 1.2959356609532593,
      "fos_yielding": 5.383439439911791,
      "deflection": 0.01163014914352576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.546)"
      },
      "parent_node_id": "node_1958",
      "improvement_over_parent": null
    },
    "node_1960": {
      "node_id": "node_1960",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1959",
      "improvement_over_parent": null
    },
    "node_1961": {
      "node_id": "node_1961",
      "content": "INITIAL DESIGN (Trace 276)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n  Mass: 110.89 kg\n  Factor of Safety: 0.28\n  Max Deflection: 4.95e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.89342002997408,
      "fos_buckling": 0.2846819588245895,
      "fos_yielding": 1.542184958181698,
      "deflection": 0.04953722556271394,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1962": {
      "node_id": "node_1962",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n\nPerformance:\n  Mass: 125.79 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.85e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.79259890558659,
      "fos_buckling": 0.26667475783252986,
      "fos_yielding": 3.5365007233399344,
      "deflection": 0.028535396774669413,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004648)"
      },
      "parent_node_id": "node_1961",
      "improvement_over_parent": null
    },
    "node_1963": {
      "node_id": "node_1963",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 136.83 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.47e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.83399331605708,
      "fos_buckling": 0.5886698844920418,
      "fos_yielding": 4.077823140372179,
      "deflection": 0.0246891973513597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003851)"
      },
      "parent_node_id": "node_1962",
      "improvement_over_parent": null
    },
    "node_1964": {
      "node_id": "node_1964",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n\nPerformance:\n  Mass: 148.26 kg\n  Factor of Safety: 0.93\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.26193148771236,
      "fos_buckling": 0.9309677337692425,
      "fos_yielding": 4.578165620076514,
      "deflection": 0.019250525639713495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004071)"
      },
      "parent_node_id": "node_1963",
      "improvement_over_parent": null
    },
    "node_1965": {
      "node_id": "node_1965",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n  Mass: 189.74 kg\n  Factor of Safety: 1.16\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": 189.74202685336007,
      "fos_buckling": 1.1575764767194192,
      "fos_yielding": 5.861087288120097,
      "deflection": 0.015114974310466664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_1964",
      "improvement_over_parent": null
    },
    "node_1966": {
      "node_id": "node_1966",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 219.19 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.1888970426194,
      "fos_buckling": 1.3097263214143662,
      "fos_yielding": 6.772361069872152,
      "deflection": 0.013129157668522158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1965",
      "improvement_over_parent": null
    },
    "node_1967": {
      "node_id": "node_1967",
      "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0043)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 219.62 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.62343459475633,
      "fos_buckling": 1.3119444009116445,
      "fos_yielding": 7.982044906496422,
      "deflection": 0.01306354362937846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.215)"
      },
      "parent_node_id": "node_1966",
      "improvement_over_parent": null
    },
    "node_1968": {
      "node_id": "node_1968",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0049)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 250.63 kg\n  Factor of Safety: 1.46\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.6260255945989,
      "fos_buckling": 1.4643443907374296,
      "fos_yielding": 9.087094082136145,
      "deflection": 0.011489459187034671,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_1967",
      "improvement_over_parent": null
    },
    "node_1969": {
      "node_id": "node_1969",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1968",
      "improvement_over_parent": null
    },
    "node_1970": {
      "node_id": "node_1970",
      "content": "INITIAL DESIGN (Trace 277)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 168.22 kg\n  Factor of Safety: 0.68\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.2247481849069,
      "fos_buckling": 0.6843550390451902,
      "fos_yielding": 4.143858003879944,
      "deflection": 0.021127252716893894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1971": {
      "node_id": "node_1971",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n  Mass: 179.56 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.56306652994624,
      "fos_buckling": 0.7383623841851576,
      "fos_yielding": 5.271401342096012,
      "deflection": 0.019024853925855983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004695)"
      },
      "parent_node_id": "node_1970",
      "improvement_over_parent": null
    },
    "node_1972": {
      "node_id": "node_1972",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 194.40 kg\n  Factor of Safety: 1.24\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": 194.39723318239268,
      "fos_buckling": 1.2375479096099378,
      "fos_yielding": 5.959055602203256,
      "deflection": 0.014820261663066204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005370)"
      },
      "parent_node_id": "node_1971",
      "improvement_over_parent": null
    },
    "node_1973": {
      "node_id": "node_1973",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.48980868897445,
      "fos_buckling": 1.5346447297493224,
      "fos_yielding": 7.744964666809027,
      "deflection": 0.01148622819436237,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_1972",
      "improvement_over_parent": null
    },
    "node_1974": {
      "node_id": "node_1974",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1973",
      "improvement_over_parent": null
    },
    "node_1975": {
      "node_id": "node_1975",
      "content": "INITIAL DESIGN (Trace 278)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 204.83 kg\n  Factor of Safety: 0.68\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": 204.8285514503215,
      "fos_buckling": 0.6834813500276892,
      "fos_yielding": 4.836676420802883,
      "deflection": 0.014580350238955866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1976": {
      "node_id": "node_1976",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n  Mass: 219.52 kg\n  Factor of Safety: 1.27\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": 219.52240128307594,
      "fos_buckling": 1.2659179890996501,
      "fos_yielding": 6.664699311175094,
      "deflection": 0.013101493212449623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005562)"
      },
      "parent_node_id": "node_1975",
      "improvement_over_parent": null
    },
    "node_1977": {
      "node_id": "node_1977",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 249.13 kg\n  Factor of Safety: 1.41\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": 249.1290105977364,
      "fos_buckling": 1.4139818393524606,
      "fos_yielding": 7.5674545933805115,
      "deflection": 0.011583315209715958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_1976",
      "improvement_over_parent": null
    },
    "node_1978": {
      "node_id": "node_1978",
      "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0082)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.93 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.93349472790848,
      "fos_buckling": 1.4075772816277063,
      "fos_yielding": 7.582793051302791,
      "deflection": 0.01151700549262625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.241)"
      },
      "parent_node_id": "node_1977",
      "improvement_over_parent": null
    },
    "node_1979": {
      "node_id": "node_1979",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1978",
      "improvement_over_parent": null
    },
    "node_1980": {
      "node_id": "node_1980",
      "content": "INITIAL DESIGN (Trace 279)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 154.94 kg\n  Factor of Safety: 0.66\n  Max Deflection: 2.35e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.94033588766854,
      "fos_buckling": 0.6632594043815565,
      "fos_yielding": 2.7356455992438096,
      "deflection": 0.02347972291202896,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1981": {
      "node_id": "node_1981",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 174.63 kg\n  Factor of Safety: 0.74\n  Max Deflection: 2.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.6340527311928,
      "fos_buckling": 0.7370559523319894,
      "fos_yielding": 3.101596739855383,
      "deflection": 0.020866894102254077,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_1980",
      "improvement_over_parent": null
    },
    "node_1982": {
      "node_id": "node_1982",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n  Mass: 176.59 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.59037944980298,
      "fos_buckling": 0.7367753475285757,
      "fos_yielding": 5.258190266643602,
      "deflection": 0.019182109378463975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003053)"
      },
      "parent_node_id": "node_1981",
      "improvement_over_parent": null
    },
    "node_1983": {
      "node_id": "node_1983",
      "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n  Mass: 177.08 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.07678101930975,
      "fos_buckling": 0.7367753475285754,
      "fos_yielding": 5.258190266643602,
      "deflection": 0.01915408966139377,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.427)"
      },
      "parent_node_id": "node_1982",
      "improvement_over_parent": null
    },
    "node_1984": {
      "node_id": "node_1984",
      "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n  Mass: 179.41 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.41476705638152,
      "fos_buckling": 0.7366915519954704,
      "fos_yielding": 5.257592237871282,
      "deflection": 0.019045476200929695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.279)"
      },
      "parent_node_id": "node_1983",
      "improvement_over_parent": null
    },
    "node_1985": {
      "node_id": "node_1985",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 194.22 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.21799934917954,
      "fos_buckling": 1.23473805934535,
      "fos_yielding": 5.930648033272759,
      "deflection": 0.01483025108734544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005358)"
      },
      "parent_node_id": "node_1984",
      "improvement_over_parent": null
    },
    "node_1986": {
      "node_id": "node_1986",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.94 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.94425227101854,
      "fos_buckling": 1.5347998103192577,
      "fos_yielding": 7.729943338147426,
      "deflection": 0.011462902930266418,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_1985",
      "improvement_over_parent": null
    },
    "node_1987": {
      "node_id": "node_1987",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1986",
      "improvement_over_parent": null
    },
    "node_1988": {
      "node_id": "node_1988",
      "content": "INITIAL DESIGN (Trace 280)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 192.24 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.2408349301574,
      "fos_buckling": 1.1597565539053998,
      "fos_yielding": 5.040728071652285,
      "deflection": 0.015101829937019503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1989": {
      "node_id": "node_1989",
      "content": "MODIFICATION: Increase 11 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 197.30 kg\n  Factor of Safety: 1.14\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": 197.2994663191224,
      "fos_buckling": 1.1388382479789738,
      "fos_yielding": 4.769829571142034,
      "deflection": 0.014770013202367479,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.410)"
      },
      "parent_node_id": "node_1988",
      "improvement_over_parent": null
    },
    "node_1990": {
      "node_id": "node_1990",
      "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 197.79 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.79238585943367,
      "fos_buckling": 1.1147153470886306,
      "fos_yielding": 5.436329254537744,
      "deflection": 0.014632309297714119,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.351)"
      },
      "parent_node_id": "node_1989",
      "improvement_over_parent": null
    },
    "node_1991": {
      "node_id": "node_1991",
      "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 198.28 kg\n  Factor of Safety: 1.26\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": 198.28141185651074,
      "fos_buckling": 1.2584108573262203,
      "fos_yielding": 6.075222078378805,
      "deflection": 0.014536471269553363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.443)"
      },
      "parent_node_id": "node_1990",
      "improvement_over_parent": null
    },
    "node_1992": {
      "node_id": "node_1992",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46937882330553,
      "fos_buckling": 1.5345149687002886,
      "fos_yielding": 7.740395029617327,
      "deflection": 0.011487186150482777,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_1991",
      "improvement_over_parent": null
    },
    "node_1993": {
      "node_id": "node_1993",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1992",
      "improvement_over_parent": null
    },
    "node_1994": {
      "node_id": "node_1994",
      "content": "INITIAL DESIGN (Trace 281)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 132.15 kg\n  Factor of Safety: 0.11\n  Max Deflection: 2.94e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.14863526678036,
      "fos_buckling": 0.11226027165027122,
      "fos_yielding": 1.6949155087519892,
      "deflection": 29391135567530.43,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1995": {
      "node_id": "node_1995",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 147.48 kg\n  Factor of Safety: 0.14\n  Max Deflection: 1.11e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.47533924844396,
      "fos_buckling": 0.1425767702581845,
      "fos_yielding": 0.7223905136264431,
      "deflection": 111472059225526.97,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_1994",
      "improvement_over_parent": null
    },
    "node_1996": {
      "node_id": "node_1996",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n  Mass: 162.18 kg\n  Factor of Safety: 0.73\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": 162.18411511443145,
      "fos_buckling": 0.7335745709658372,
      "fos_yielding": 4.287727098718519,
      "deflection": 0.02056073931992906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005186)"
      },
      "parent_node_id": "node_1995",
      "improvement_over_parent": null
    },
    "node_1997": {
      "node_id": "node_1997",
      "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n  Mass: 165.91 kg\n  Factor of Safety: 0.73\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.90774778830826,
      "fos_buckling": 0.7333041323628952,
      "fos_yielding": 4.286159161698516,
      "deflection": 0.020569176928220897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.276)"
      },
      "parent_node_id": "node_1996",
      "improvement_over_parent": null
    },
    "node_1998": {
      "node_id": "node_1998",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 180.94 kg\n  Factor of Safety: 0.73\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": 180.94274598107773,
      "fos_buckling": 0.7322142010972915,
      "fos_yielding": 4.279839911505068,
      "deflection": 0.016199122076205497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005448)"
      },
      "parent_node_id": "node_1997",
      "improvement_over_parent": null
    },
    "node_1999": {
      "node_id": "node_1999",
      "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0057)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 183.04 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.04282073416235,
      "fos_buckling": 0.7323662469829442,
      "fos_yielding": 4.442259122692933,
      "deflection": 0.01611710183655656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.199)"
      },
      "parent_node_id": "node_1998",
      "improvement_over_parent": null
    },
    "node_2000": {
      "node_id": "node_2000",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0075)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 234.57 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.56820078929948,
      "fos_buckling": 0.9022328785052989,
      "fos_yielding": 5.672902072716013,
      "deflection": 0.012641047786719043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1999",
      "improvement_over_parent": null
    },
    "node_2001": {
      "node_id": "node_2001",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0075)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 251.24 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.23848459555654,
      "fos_buckling": 1.4254287122505875,
      "fos_yielding": 7.991669946578701,
      "deflection": 0.011746269765969425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2000",
      "improvement_over_parent": null
    },
    "node_2002": {
      "node_id": "node_2002",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2001",
      "improvement_over_parent": null
    },
    "node_2003": {
      "node_id": "node_2003",
      "content": "INITIAL DESIGN (Trace 282)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 185.56 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.22e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.5629203131864,
      "fos_buckling": 0.5853247675284582,
      "fos_yielding": 3.254227103337103,
      "deflection": 0.02219239612814977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2004": {
      "node_id": "node_2004",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 222.27 kg\n  Factor of Safety: 0.68\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": 222.27282335181235,
      "fos_buckling": 0.6782016504477039,
      "fos_yielding": 3.8787948779129877,
      "deflection": 0.01860389006715436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2003",
      "improvement_over_parent": null
    },
    "node_2005": {
      "node_id": "node_2005",
      "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 225.48 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.47632892215273,
      "fos_buckling": 0.6778860773280434,
      "fos_yielding": 3.8770016854662637,
      "deflection": 0.018556176005401756,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.261)"
      },
      "parent_node_id": "node_2004",
      "improvement_over_parent": null
    },
    "node_2006": {
      "node_id": "node_2006",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.61485249053518,
      "fos_buckling": 1.53469928409873,
      "fos_yielding": 7.748221998815839,
      "deflection": 0.011480948884178046,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2005",
      "improvement_over_parent": null
    },
    "node_2007": {
      "node_id": "node_2007",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 283)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 176.54 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": 176.53928338289512,
      "fos_buckling": 0.5654871430597516,
      "fos_yielding": 3.797259173782813,
      "deflection": 0.016820432358605874,
      "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 7 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 177.00 kg\n  Factor of Safety: 0.57\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": 176.99868898807284,
      "fos_buckling": 0.5654358189135958,
      "fos_yielding": 3.796917378153402,
      "deflection": 0.01676837648767179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.312)"
      },
      "parent_node_id": "node_2008",
      "improvement_over_parent": null
    },
    "node_2010": {
      "node_id": "node_2010",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n  Mass: 190.36 kg\n  Factor of Safety: 1.10\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.35689937780919,
      "fos_buckling": 1.098840729870539,
      "fos_yielding": 5.3473359289171984,
      "deflection": 0.014849087625800528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005018)"
      },
      "parent_node_id": "node_2009",
      "improvement_over_parent": null
    },
    "node_2011": {
      "node_id": "node_2011",
      "content": "MODIFICATION: Increase 14 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0078)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n  Mass: 196.59 kg\n  Factor of Safety: 1.10\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.59378936936525,
      "fos_buckling": 1.0987639122847854,
      "fos_yielding": 5.346962108194044,
      "deflection": 0.01462820388670159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.466)"
      },
      "parent_node_id": "node_2010",
      "improvement_over_parent": null
    },
    "node_2012": {
      "node_id": "node_2012",
      "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0078)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n  Mass: 197.14 kg\n  Factor of Safety: 1.12\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": 197.14391706675875,
      "fos_buckling": 1.1156567343482906,
      "fos_yielding": 5.913205995747981,
      "deflection": 0.014521133198329074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.511)"
      },
      "parent_node_id": "node_2011",
      "improvement_over_parent": null
    },
    "node_2013": {
      "node_id": "node_2013",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0099)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 245.94 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.94168775572933,
      "fos_buckling": 1.3614778720695313,
      "fos_yielding": 7.389034221162499,
      "deflection": 0.011699396074374266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_2012",
      "improvement_over_parent": null
    },
    "node_2014": {
      "node_id": "node_2014",
      "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0099)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 249.59 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.59303489772617,
      "fos_buckling": 1.35338858095552,
      "fos_yielding": 7.406793683017725,
      "deflection": 0.01163010215608298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.362)"
      },
      "parent_node_id": "node_2013",
      "improvement_over_parent": null
    },
    "node_2015": {
      "node_id": "node_2015",
      "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0063)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0099)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 254.20 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.1967796687356,
      "fos_buckling": 1.341542925170609,
      "fos_yielding": 7.433090524135256,
      "deflection": 0.011523634685198502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.403)"
      },
      "parent_node_id": "node_2014",
      "improvement_over_parent": null
    },
    "node_2016": {
      "node_id": "node_2016",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2015",
      "improvement_over_parent": null
    },
    "node_2017": {
      "node_id": "node_2017",
      "content": "INITIAL DESIGN (Trace 284)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 217.35 kg\n  Factor of Safety: 0.57\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": 217.34651855206704,
      "fos_buckling": 0.5702698069964223,
      "fos_yielding": 6.010288572025316,
      "deflection": 0.015318210609141073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2018": {
      "node_id": "node_2018",
      "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 220.02 kg\n  Factor of Safety: 0.57\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": 220.01760123752433,
      "fos_buckling": 0.5698350244356118,
      "fos_yielding": 6.005706234639582,
      "deflection": 0.015016664594881941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.181)"
      },
      "parent_node_id": "node_2017",
      "improvement_over_parent": null
    },
    "node_2019": {
      "node_id": "node_2019",
      "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 227.79 kg\n  Factor of Safety: 0.57\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": 227.78691154996866,
      "fos_buckling": 0.5685741437869029,
      "fos_yielding": 5.24697591605509,
      "deflection": 0.0144543321847635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.464)"
      },
      "parent_node_id": "node_2018",
      "improvement_over_parent": null
    },
    "node_2020": {
      "node_id": "node_2020",
      "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 230.87 kg\n  Factor of Safety: 0.57\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.8730636371398,
      "fos_buckling": 0.5680748395499987,
      "fos_yielding": 4.9990556822383345,
      "deflection": 0.014591279564313943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.215)"
      },
      "parent_node_id": "node_2019",
      "improvement_over_parent": null
    },
    "node_2021": {
      "node_id": "node_2021",
      "content": "MODIFICATION: Increase 14 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 237.75 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.74696944746523,
      "fos_buckling": 0.8434352884227393,
      "fos_yielding": 5.001903089227434,
      "deflection": 0.013149074134949031,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.642)"
      },
      "parent_node_id": "node_2020",
      "improvement_over_parent": null
    },
    "node_2022": {
      "node_id": "node_2022",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4714770561228,
      "fos_buckling": 1.5345701715551692,
      "fos_yielding": 7.7446073112612295,
      "deflection": 0.011487051842418074,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_2021",
      "improvement_over_parent": null
    },
    "node_2023": {
      "node_id": "node_2023",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 285)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 199.11 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.11284468337138,
      "fos_buckling": 0.6145058344252851,
      "fos_yielding": 3.4166959707915754,
      "deflection": 0.020968811371394752,
      "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: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n  Mass: 199.74 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.73708761386067,
      "fos_buckling": 0.6144685926192021,
      "fos_yielding": 3.4458566896472838,
      "deflection": 0.0208886458077418,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001873)"
      },
      "parent_node_id": "node_2024",
      "improvement_over_parent": null
    },
    "node_2026": {
      "node_id": "node_2026",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 225.19 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.18816969419473,
      "fos_buckling": 0.6771997580284018,
      "fos_yielding": 3.872219696211331,
      "deflection": 0.01857922473122888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_2025",
      "improvement_over_parent": null
    },
    "node_2027": {
      "node_id": "node_2027",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.33 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.32669326257718,
      "fos_buckling": 1.5343145659305164,
      "fos_yielding": 7.740429131584523,
      "deflection": 0.011493210550249126,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2026",
      "improvement_over_parent": null
    },
    "node_2028": {
      "node_id": "node_2028",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 286)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 231.89 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.89207978244016,
      "fos_buckling": 1.1363303781939238,
      "fos_yielding": 6.982471627730687,
      "deflection": 0.013350988902399394,
      "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 4 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 240.98 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.24e-02 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 240.97604736263213,
      "fos_buckling": 1.5346568831202376,
      "fos_yielding": 7.411074653705752,
      "deflection": 0.012370916166319645,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.621)"
      },
      "parent_node_id": "node_2029",
      "improvement_over_parent": null
    },
    "node_2031": {
      "node_id": "node_2031",
      "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 248.23 kg\n  Factor of Safety: 1.48\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": 248.23103159285418,
      "fos_buckling": 1.478967037025141,
      "fos_yielding": 7.97970973611045,
      "deflection": 0.011580397202193494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.422)"
      },
      "parent_node_id": "node_2030",
      "improvement_over_parent": null
    },
    "node_2032": {
      "node_id": "node_2032",
      "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.45174258039802,
      "fos_buckling": 1.5345612315654182,
      "fos_yielding": 7.743221695875105,
      "deflection": 0.011488769613876416,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.372)"
      },
      "parent_node_id": "node_2031",
      "improvement_over_parent": null
    },
    "node_2033": {
      "node_id": "node_2033",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2032",
      "improvement_over_parent": null
    },
    "node_2034": {
      "node_id": "node_2034",
      "content": "INITIAL DESIGN (Trace 287)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n  Mass: 125.35 kg\n  Factor of Safety: 0.44\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": 125.34663810501006,
      "fos_buckling": 0.4385926839464137,
      "fos_yielding": 3.1864738246912805,
      "deflection": 14154177323729.105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2035": {
      "node_id": "node_2035",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n\nPerformance:\n  Mass: 136.35 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.49e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.34761179645446,
      "fos_buckling": 0.26437165382190086,
      "fos_yielding": 3.964791332569441,
      "deflection": 0.024903202535324076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004079)"
      },
      "parent_node_id": "node_2034",
      "improvement_over_parent": null
    },
    "node_2036": {
      "node_id": "node_2036",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n\nPerformance:\n  Mass: 151.71 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.7148428384201,
      "fos_buckling": 0.26397050345388157,
      "fos_yielding": 3.5442333752975075,
      "deflection": 0.020338191281160448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004821)"
      },
      "parent_node_id": "node_2035",
      "improvement_over_parent": null
    },
    "node_2037": {
      "node_id": "node_2037",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n\nPerformance:\n  Mass: 191.04 kg\n  Factor of Safety: 0.32\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": 191.0414757952209,
      "fos_buckling": 0.32276219660235783,
      "fos_yielding": 4.463851984681053,
      "deflection": 0.016214297526048988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_2036",
      "improvement_over_parent": null
    },
    "node_2038": {
      "node_id": "node_2038",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 229.72 kg\n  Factor of Safety: 0.38\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": 229.7195504414611,
      "fos_buckling": 0.3767471954152492,
      "fos_yielding": 5.368588441918441,
      "deflection": 0.013535698255022103,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_2037",
      "improvement_over_parent": null
    },
    "node_2039": {
      "node_id": "node_2039",
      "content": "MODIFICATION: Increase 14 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0095)]\n\nPerformance:\n  Mass: 235.22 kg\n  Factor of Safety: 0.38\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": 235.21507543692056,
      "fos_buckling": 0.3765432190956197,
      "fos_yielding": 5.249220120482422,
      "deflection": 0.01338523647507236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.267)"
      },
      "parent_node_id": "node_2038",
      "improvement_over_parent": null
    },
    "node_2040": {
      "node_id": "node_2040",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0095)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 254.06 kg\n  Factor of Safety: 1.40\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.06312345223276,
      "fos_buckling": 1.3997915651117694,
      "fos_yielding": 7.514937156454205,
      "deflection": 0.011438271271817669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_2039",
      "improvement_over_parent": null
    },
    "node_2041": {
      "node_id": "node_2041",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2040",
      "improvement_over_parent": null
    },
    "node_2042": {
      "node_id": "node_2042",
      "content": "INITIAL DESIGN (Trace 288)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 135.05 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.45e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.0494676791468,
      "fos_buckling": 0.5950810235874617,
      "fos_yielding": 4.127160796705833,
      "deflection": 0.02448893306835067,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2043": {
      "node_id": "node_2043",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n\nPerformance:\n  Mass: 149.03 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.0250218721478,
      "fos_buckling": 0.8515087982395323,
      "fos_yielding": 4.624686492114522,
      "deflection": 0.01912098736264221,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004361)"
      },
      "parent_node_id": "node_2042",
      "improvement_over_parent": null
    },
    "node_2044": {
      "node_id": "node_2044",
      "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n\nPerformance:\n  Mass: 151.54 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.53761373745664,
      "fos_buckling": 0.9972150910561294,
      "fos_yielding": 4.642979766855807,
      "deflection": 0.018918750813136043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.418)"
      },
      "parent_node_id": "node_2043",
      "improvement_over_parent": null
    },
    "node_2045": {
      "node_id": "node_2045",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n\nPerformance:\n  Mass: 189.40 kg\n  Factor of Safety: 1.21\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": 189.4038314691865,
      "fos_buckling": 1.2104708705324085,
      "fos_yielding": 5.805676679762163,
      "deflection": 0.015202315260486134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_2044",
      "improvement_over_parent": null
    },
    "node_2046": {
      "node_id": "node_2046",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n\nPerformance:\n  Mass: 211.17 kg\n  Factor of Safety: 1.33\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": 211.17406275695825,
      "fos_buckling": 1.3267066969125814,
      "fos_yielding": 6.474595395750332,
      "deflection": 0.013669048945215834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2045",
      "improvement_over_parent": null
    },
    "node_2047": {
      "node_id": "node_2047",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.51357704268437,
      "fos_buckling": 1.534751334159763,
      "fos_yielding": 7.745721834446736,
      "deflection": 0.011485193171306602,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_2046",
      "improvement_over_parent": null
    },
    "node_2048": {
      "node_id": "node_2048",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2047",
      "improvement_over_parent": null
    },
    "node_2049": {
      "node_id": "node_2049",
      "content": "INITIAL DESIGN (Trace 289)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 174.62 kg\n  Factor of Safety: 0.35\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": 174.62105469069368,
      "fos_buckling": 0.3471446573113596,
      "fos_yielding": 4.447426975283897,
      "deflection": 0.019066937232726056,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2050": {
      "node_id": "node_2050",
      "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 179.29 kg\n  Factor of Safety: 0.35\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": 179.29321238959716,
      "fos_buckling": 0.3469839131426628,
      "fos_yielding": 4.6410664086497135,
      "deflection": 0.01845132244211766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.362)"
      },
      "parent_node_id": "node_2049",
      "improvement_over_parent": null
    },
    "node_2051": {
      "node_id": "node_2051",
      "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 184.14 kg\n  Factor of Safety: 0.35\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": 184.1351516284169,
      "fos_buckling": 0.3464851062921645,
      "fos_yielding": 4.643354997013388,
      "deflection": 0.0173188814236117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.582)"
      },
      "parent_node_id": "node_2050",
      "improvement_over_parent": null
    },
    "node_2052": {
      "node_id": "node_2052",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 222.69 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.6905376458793,
      "fos_buckling": 0.40598933135692084,
      "fos_yielding": 5.610875112644723,
      "deflection": 0.014364527517508963,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_2051",
      "improvement_over_parent": null
    },
    "node_2053": {
      "node_id": "node_2053",
      "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 229.41 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.40915846068847,
      "fos_buckling": 0.40571963858243487,
      "fos_yielding": 5.376425309304966,
      "deflection": 0.014086142508120745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.445)"
      },
      "parent_node_id": "node_2052",
      "improvement_over_parent": null
    },
    "node_2054": {
      "node_id": "node_2054",
      "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.62 kg\n  Factor of Safety: 0.41\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": 233.6173509749414,
      "fos_buckling": 0.4052138422387699,
      "fos_yielding": 5.374857788564224,
      "deflection": 0.013391901101185849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.221)"
      },
      "parent_node_id": "node_2053",
      "improvement_over_parent": null
    },
    "node_2055": {
      "node_id": "node_2055",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4653989902536,
      "fos_buckling": 1.5346667384824448,
      "fos_yielding": 7.744229833186851,
      "deflection": 0.011487552284715253,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_2054",
      "improvement_over_parent": null
    },
    "node_2056": {
      "node_id": "node_2056",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2055",
      "improvement_over_parent": null
    },
    "node_2057": {
      "node_id": "node_2057",
      "content": "INITIAL DESIGN (Trace 290)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 150.73 kg\n  Factor of Safety: 0.01\n  Max Deflection: 1.92e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.72923997216722,
      "fos_buckling": 0.013952152853443329,
      "fos_yielding": 0.21186443859399864,
      "deflection": 192405809194394.75,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2058": {
      "node_id": "node_2058",
      "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 151.07 kg\n  Factor of Safety: 0.01\n  Max Deflection: 1.92e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.0665121595864,
      "fos_buckling": 0.013952152853443329,
      "fos_yielding": 0.21186443859399864,
      "deflection": 192405809194394.75,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.294)"
      },
      "parent_node_id": "node_2057",
      "improvement_over_parent": null
    },
    "node_2059": {
      "node_id": "node_2059",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n\nPerformance:\n  Mass: 152.93 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.63e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.9328254132921,
      "fos_buckling": 0.524606421583608,
      "fos_yielding": 2.868524340438503,
      "deflection": 0.026303627048795537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002903)"
      },
      "parent_node_id": "node_2058",
      "improvement_over_parent": null
    },
    "node_2060": {
      "node_id": "node_2060",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n  Mass: 182.03 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.032032457566,
      "fos_buckling": 0.6077139967623942,
      "fos_yielding": 3.4015758613323976,
      "deflection": 0.022164079086063992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_2059",
      "improvement_over_parent": null
    },
    "node_2061": {
      "node_id": "node_2061",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n\nPerformance:\n  Mass: 196.58 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.12e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.58452780812516,
      "fos_buckling": 0.6064256965702782,
      "fos_yielding": 3.3944055328547384,
      "deflection": 0.021216610884668446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005504)"
      },
      "parent_node_id": "node_2060",
      "improvement_over_parent": null
    },
    "node_2062": {
      "node_id": "node_2062",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 225.22 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.21580666152153,
      "fos_buckling": 0.6772313210076334,
      "fos_yielding": 3.8744315122963204,
      "deflection": 0.018577243948227982,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_2061",
      "improvement_over_parent": null
    },
    "node_2063": {
      "node_id": "node_2063",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.35433022990398,
      "fos_buckling": 1.5343628802203697,
      "fos_yielding": 7.740847553080851,
      "deflection": 0.011492274027029209,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2062",
      "improvement_over_parent": null
    },
    "node_2064": {
      "node_id": "node_2064",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2063",
      "improvement_over_parent": null
    },
    "node_2065": {
      "node_id": "node_2065",
      "content": "INITIAL DESIGN (Trace 291)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0020)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0028)]\n\nPerformance:\n  Mass: 91.02 kg\n  Factor of Safety: 0.41\n  Max Deflection: 3.51e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 91.01911951641958,
      "fos_buckling": 0.412509950443662,
      "fos_yielding": 2.1713706736735485,
      "deflection": 0.03510645457121495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2066": {
      "node_id": "node_2066",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0020)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0028)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n\nPerformance:\n  Mass: 99.15 kg\n  Factor of Safety: 0.41\n  Max Deflection: 3.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.14697873989591,
      "fos_buckling": 0.4115323916227776,
      "fos_yielding": 2.1921013338082793,
      "deflection": 0.031521881489552546,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.002778)"
      },
      "parent_node_id": "node_2065",
      "improvement_over_parent": null
    },
    "node_2067": {
      "node_id": "node_2067",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n\nPerformance:\n  Mass: 119.57 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.62e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.57028223212897,
      "fos_buckling": 0.4870963373144297,
      "fos_yielding": 2.633413923261453,
      "deflection": 0.026200599803639063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_2066",
      "improvement_over_parent": null
    },
    "node_2068": {
      "node_id": "node_2068",
      "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n\nPerformance:\n  Mass: 123.64 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.49e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.63888843934039,
      "fos_buckling": 0.4869045612506092,
      "fos_yielding": 2.6548786544202176,
      "deflection": 0.024924779502831132,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.558)"
      },
      "parent_node_id": "node_2067",
      "improvement_over_parent": null
    },
    "node_2069": {
      "node_id": "node_2069",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n\nPerformance:\n  Mass: 131.29 kg\n  Factor of Safety: 0.88\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": 131.29326356259463,
      "fos_buckling": 0.8772072222606049,
      "fos_yielding": 4.022164187118705,
      "deflection": 0.021784179981882385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003099)"
      },
      "parent_node_id": "node_2068",
      "improvement_over_parent": null
    },
    "node_2070": {
      "node_id": "node_2070",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n  Mass: 168.47 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.46749929310855,
      "fos_buckling": 1.0940902400846695,
      "fos_yielding": 5.163183236816304,
      "deflection": 0.017049958403824176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_2069",
      "improvement_over_parent": null
    },
    "node_2071": {
      "node_id": "node_2071",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n  Mass: 197.22 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.220296976998,
      "fos_buckling": 1.252492788184699,
      "fos_yielding": 6.046379496585974,
      "deflection": 0.014612274353802584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_2070",
      "improvement_over_parent": null
    },
    "node_2072": {
      "node_id": "node_2072",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.38 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.38010376663004,
      "fos_buckling": 1.5338170386283614,
      "fos_yielding": 7.742337687177422,
      "deflection": 0.011490647717063505,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_2071",
      "improvement_over_parent": null
    },
    "node_2073": {
      "node_id": "node_2073",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2072",
      "improvement_over_parent": null
    },
    "node_2074": {
      "node_id": "node_2074",
      "content": "INITIAL DESIGN (Trace 292)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\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_2075": {
      "node_id": "node_2075",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 182.83 kg\n  Factor of Safety: 0.76\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": 182.8254659346092,
      "fos_buckling": 0.762821732425292,
      "fos_yielding": 5.474345827938832,
      "deflection": 0.018340518192281205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005594)"
      },
      "parent_node_id": "node_2074",
      "improvement_over_parent": null
    },
    "node_2076": {
      "node_id": "node_2076",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 228.79 kg\n  Factor of Safety: 0.92\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": 228.79189183173335,
      "fos_buckling": 0.9169181450228472,
      "fos_yielding": 6.8188196338176095,
      "deflection": 0.014732680181671336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_2075",
      "improvement_over_parent": null
    },
    "node_2077": {
      "node_id": "node_2077",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.08 kg\n  Factor of Safety: 1.44\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": 252.0777314338306,
      "fos_buckling": 1.4367279584520403,
      "fos_yielding": 6.06814248958838,
      "deflection": 0.01158274826061071,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_2076",
      "improvement_over_parent": null
    },
    "node_2078": {
      "node_id": "node_2078",
      "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0029)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.29 kg\n  Factor of Safety: 1.44\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": 252.28821824825064,
      "fos_buckling": 1.4405045695329817,
      "fos_yielding": 6.084093327067455,
      "deflection": 0.011580608709178255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.340)"
      },
      "parent_node_id": "node_2077",
      "improvement_over_parent": null
    },
    "node_2079": {
      "node_id": "node_2079",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2078",
      "improvement_over_parent": null
    },
    "node_2080": {
      "node_id": "node_2080",
      "content": "INITIAL DESIGN (Trace 293)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 136.48 kg\n  Factor of Safety: 0.30\n  Max Deflection: 4.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.48499500625698,
      "fos_buckling": 0.2954059096027655,
      "fos_yielding": 1.179492932427347,
      "deflection": 0.04271938152716438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2081": {
      "node_id": "node_2081",
      "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 140.76 kg\n  Factor of Safety: 0.30\n  Max Deflection: 3.84e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.7607194070277,
      "fos_buckling": 0.2952207287170555,
      "fos_yielding": 1.1780229834255804,
      "deflection": 0.03839048636323573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.379)"
      },
      "parent_node_id": "node_2080",
      "improvement_over_parent": null
    },
    "node_2082": {
      "node_id": "node_2082",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 165.58 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.27e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.5770388548521,
      "fos_buckling": 0.3400599326643701,
      "fos_yielding": 1.3809795683127541,
      "deflection": 0.03273902677216131,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2081",
      "improvement_over_parent": null
    },
    "node_2083": {
      "node_id": "node_2083",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 196.04 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.78e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.04405533955517,
      "fos_buckling": 0.3922096119471593,
      "fos_yielding": 1.6282623784735641,
      "deflection": 0.027757284447126135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_2082",
      "improvement_over_parent": null
    },
    "node_2084": {
      "node_id": "node_2084",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n\nPerformance:\n  Mass: 217.70 kg\n  Factor of Safety: 1.36\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": 217.69904311113856,
      "fos_buckling": 1.360796423555204,
      "fos_yielding": 6.6755267714579025,
      "deflection": 0.0132703249264043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006925)"
      },
      "parent_node_id": "node_2083",
      "improvement_over_parent": null
    },
    "node_2085": {
      "node_id": "node_2085",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.57598502134604,
      "fos_buckling": 1.5352158344726368,
      "fos_yielding": 7.748070583707243,
      "deflection": 0.011483370288931758,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_2084",
      "improvement_over_parent": null
    },
    "node_2086": {
      "node_id": "node_2086",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2085",
      "improvement_over_parent": null
    },
    "node_2087": {
      "node_id": "node_2087",
      "content": "INITIAL DESIGN (Trace 294)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 167.52 kg\n  Factor of Safety: 0.72\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": 167.51766490395917,
      "fos_buckling": 0.7196634990691405,
      "fos_yielding": 2.1121461094262086,
      "deflection": 0.01856374775447349,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2088": {
      "node_id": "node_2088",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n  Mass: 182.00 kg\n  Factor of Safety: 0.76\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": 182.00198564755814,
      "fos_buckling": 0.7597228025535897,
      "fos_yielding": 4.244095063772811,
      "deflection": 0.016188970796124563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005273)"
      },
      "parent_node_id": "node_2087",
      "improvement_over_parent": null
    },
    "node_2089": {
      "node_id": "node_2089",
      "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n  Mass: 186.24 kg\n  Factor of Safety: 0.76\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": 186.23794490638556,
      "fos_buckling": 0.7594046606339614,
      "fos_yielding": 4.242334026637042,
      "deflection": 0.01581377580660112,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.255)"
      },
      "parent_node_id": "node_2088",
      "improvement_over_parent": null
    },
    "node_2090": {
      "node_id": "node_2090",
      "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n  Mass: 188.59 kg\n  Factor of Safety: 0.76\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": 188.59279674680081,
      "fos_buckling": 0.7595814889949529,
      "fos_yielding": 4.4684533588469115,
      "deflection": 0.0156980567359427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.263)"
      },
      "parent_node_id": "node_2089",
      "improvement_over_parent": null
    },
    "node_2091": {
      "node_id": "node_2091",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 231.60 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.60259566738097,
      "fos_buckling": 0.9019470302960226,
      "fos_yielding": 5.473854182001987,
      "deflection": 0.012837627032312601,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_2090",
      "improvement_over_parent": null
    },
    "node_2092": {
      "node_id": "node_2092",
      "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 235.69 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.6949895663477,
      "fos_buckling": 0.9015823645803038,
      "fos_yielding": 5.471661688373004,
      "deflection": 0.012555091673622933,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.245)"
      },
      "parent_node_id": "node_2091",
      "improvement_over_parent": null
    },
    "node_2093": {
      "node_id": "node_2093",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.37 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.36527337260475,
      "fos_buckling": 1.5345157589352745,
      "fos_yielding": 7.740619463550286,
      "deflection": 0.011491873206901653,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2092",
      "improvement_over_parent": null
    },
    "node_2094": {
      "node_id": "node_2094",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2093",
      "improvement_over_parent": null
    },
    "node_2095": {
      "node_id": "node_2095",
      "content": "INITIAL DESIGN (Trace 295)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0019)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0010)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n  Mass: 121.38 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.35e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.38420417896037,
      "fos_buckling": 0.6296765557362635,
      "fos_yielding": 3.8215006209262175,
      "deflection": 0.023475492211630384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2096": {
      "node_id": "node_2096",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 137.37 kg\n  Factor of Safety: 0.71\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": 137.37174775918885,
      "fos_buckling": 0.7062495117113488,
      "fos_yielding": 4.325213699617633,
      "deflection": 0.020782100892243322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2095",
      "improvement_over_parent": null
    },
    "node_2097": {
      "node_id": "node_2097",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 171.79 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.7924452752232,
      "fos_buckling": 0.8662716991693646,
      "fos_yielding": 5.406607669302944,
      "deflection": 0.01668478028275703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_2096",
      "improvement_over_parent": null
    },
    "node_2098": {
      "node_id": "node_2098",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 213.78 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.77838566978244,
      "fos_buckling": 1.0526986652064552,
      "fos_yielding": 6.7001457932586845,
      "deflection": 0.013473142388350524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_2097",
      "improvement_over_parent": null
    },
    "node_2099": {
      "node_id": "node_2099",
      "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 214.24 kg\n  Factor of Safety: 1.33\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": 214.23552483672404,
      "fos_buckling": 1.3257166378328362,
      "fos_yielding": 6.741986837155069,
      "deflection": 0.013417920744699005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.513)"
      },
      "parent_node_id": "node_2098",
      "improvement_over_parent": null
    },
    "node_2100": {
      "node_id": "node_2100",
      "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 218.72 kg\n  Factor of Safety: 1.37\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": 218.71822711665934,
      "fos_buckling": 1.3658629712971304,
      "fos_yielding": 6.706089301598584,
      "deflection": 0.013209160523257686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.546)"
      },
      "parent_node_id": "node_2099",
      "improvement_over_parent": null
    },
    "node_2101": {
      "node_id": "node_2101",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.76 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.7590204394699,
      "fos_buckling": 1.535888763910445,
      "fos_yielding": 7.75282983485317,
      "deflection": 0.011474555502453269,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_2100",
      "improvement_over_parent": null
    },
    "node_2102": {
      "node_id": "node_2102",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2101",
      "improvement_over_parent": null
    },
    "node_2103": {
      "node_id": "node_2103",
      "content": "INITIAL DESIGN (Trace 296)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 150.33 kg\n  Factor of Safety: 0.25\n  Max Deflection: 2.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.33205763162087,
      "fos_buckling": 0.2459465480420223,
      "fos_yielding": 3.61777519389731,
      "deflection": 0.020757852426480188,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2104": {
      "node_id": "node_2104",
      "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 152.08 kg\n  Factor of Safety: 0.25\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.08096732211285,
      "fos_buckling": 0.24581891984940987,
      "fos_yielding": 3.6158978343126726,
      "deflection": 0.02028170360150436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.196)"
      },
      "parent_node_id": "node_2103",
      "improvement_over_parent": null
    },
    "node_2105": {
      "node_id": "node_2105",
      "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 152.17 kg\n  Factor of Safety: 0.29\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.1707735364998,
      "fos_buckling": 0.2890805724941518,
      "fos_yielding": 3.794813753907462,
      "deflection": 0.020234665699593087,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.248)"
      },
      "parent_node_id": "node_2104",
      "improvement_over_parent": null
    },
    "node_2106": {
      "node_id": "node_2106",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n\nPerformance:\n  Mass: 164.85 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.85449269538404,
      "fos_buckling": 1.0276904429367995,
      "fos_yielding": 5.588964720272504,
      "deflection": 0.017423547971457117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004428)"
      },
      "parent_node_id": "node_2105",
      "improvement_over_parent": null
    },
    "node_2107": {
      "node_id": "node_2107",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n  Mass: 189.66 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.66445116447753,
      "fos_buckling": 1.1596399075638764,
      "fos_yielding": 6.427041133934038,
      "deflection": 0.015186685579622793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_2106",
      "improvement_over_parent": null
    },
    "node_2108": {
      "node_id": "node_2108",
      "content": "MODIFICATION: Increase 11 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n  Mass: 195.42 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.42137191596427,
      "fos_buckling": 1.2431844053150478,
      "fos_yielding": 5.990106553116113,
      "deflection": 0.014744187971702427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.502)"
      },
      "parent_node_id": "node_2107",
      "improvement_over_parent": null
    },
    "node_2109": {
      "node_id": "node_2109",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.56964553007845,
      "fos_buckling": 1.5351702324310448,
      "fos_yielding": 7.746895658841551,
      "deflection": 0.011482599756957779,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_2108",
      "improvement_over_parent": null
    },
    "node_2110": {
      "node_id": "node_2110",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2109",
      "improvement_over_parent": null
    },
    "node_2111": {
      "node_id": "node_2111",
      "content": "INITIAL DESIGN (Trace 297)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0012)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 132.74 kg\n  Factor of Safety: 0.53\n  Max Deflection: 2.31e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.73562998327088,
      "fos_buckling": 0.5263769891193337,
      "fos_yielding": 2.9127533263206495,
      "deflection": 0.02306913426899459,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2112": {
      "node_id": "node_2112",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 150.19 kg\n  Factor of Safety: 0.59\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": 150.18813530783333,
      "fos_buckling": 0.5862074218868578,
      "fos_yielding": 3.2871448605991054,
      "deflection": 0.020432569009656336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_2111",
      "improvement_over_parent": null
    },
    "node_2113": {
      "node_id": "node_2113",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n  Mass: 161.61 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.61074050592492,
      "fos_buckling": 0.8120768253140688,
      "fos_yielding": 3.8512234556803953,
      "deflection": 0.01788571011602523,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004093)"
      },
      "parent_node_id": "node_2112",
      "improvement_over_parent": null
    },
    "node_2114": {
      "node_id": "node_2114",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n  Mass: 198.08 kg\n  Factor of Safety: 0.98\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": 198.07594295392911,
      "fos_buckling": 0.9798653123197201,
      "fos_yielding": 4.715704286326533,
      "deflection": 0.014652906037235227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2113",
      "improvement_over_parent": null
    },
    "node_2115": {
      "node_id": "node_2115",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n  Mass: 198.27 kg\n  Factor of Safety: 1.13\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.26517525834694,
      "fos_buckling": 1.1295345481720223,
      "fos_yielding": 5.516809396392012,
      "deflection": 0.014594726665821988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.196)"
      },
      "parent_node_id": "node_2114",
      "improvement_over_parent": null
    },
    "node_2116": {
      "node_id": "node_2116",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 251.92 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.91501738892057,
      "fos_buckling": 1.3932486856391626,
      "fos_yielding": 6.9888299526173485,
      "deflection": 0.011556139534425323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_2115",
      "improvement_over_parent": null
    },
    "node_2117": {
      "node_id": "node_2117",
      "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.50637609134898,
      "fos_buckling": 1.534758328093715,
      "fos_yielding": 7.745686935518776,
      "deflection": 0.011485326005932096,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.422)"
      },
      "parent_node_id": "node_2116",
      "improvement_over_parent": null
    },
    "node_2118": {
      "node_id": "node_2118",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2117",
      "improvement_over_parent": null
    },
    "node_2119": {
      "node_id": "node_2119",
      "content": "INITIAL DESIGN (Trace 298)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 190.98 kg\n  Factor of Safety: 0.78\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": 190.98392923787085,
      "fos_buckling": 0.782687984281302,
      "fos_yielding": 4.634602545428536,
      "deflection": 0.020170461896894424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2120": {
      "node_id": "node_2120",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 226.71 kg\n  Factor of Safety: 0.90\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": 226.71462114274243,
      "fos_buckling": 0.9027933254892951,
      "fos_yielding": 5.491017301478062,
      "deflection": 0.01702610027322259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_2119",
      "improvement_over_parent": null
    },
    "node_2121": {
      "node_id": "node_2121",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n  Mass: 228.87 kg\n  Factor of Safety: 0.90\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": 228.8702886979458,
      "fos_buckling": 0.9024087609597472,
      "fos_yielding": 5.488695562668842,
      "deflection": 0.0137066317100488,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003389)"
      },
      "parent_node_id": "node_2120",
      "improvement_over_parent": null
    },
    "node_2122": {
      "node_id": "node_2122",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 245.54 kg\n  Factor of Safety: 1.47\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": 245.54057250420288,
      "fos_buckling": 1.468416516803886,
      "fos_yielding": 6.29205852991884,
      "deflection": 0.012220913248473455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2121",
      "improvement_over_parent": null
    },
    "node_2123": {
      "node_id": "node_2123",
      "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 245.67 kg\n  Factor of Safety: 1.47\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": 245.66553366572293,
      "fos_buckling": 1.469243630217048,
      "fos_yielding": 6.295602651049965,
      "deflection": 0.01222091056003557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.199)"
      },
      "parent_node_id": "node_2122",
      "improvement_over_parent": null
    },
    "node_2124": {
      "node_id": "node_2124",
      "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.34 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3389833160212,
      "fos_buckling": 1.5230016390033876,
      "fos_yielding": 6.666037313342727,
      "deflection": 0.01154190263274314,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.376)"
      },
      "parent_node_id": "node_2123",
      "improvement_over_parent": null
    },
    "node_2125": {
      "node_id": "node_2125",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2124",
      "improvement_over_parent": null
    },
    "node_2126": {
      "node_id": "node_2126",
      "content": "INITIAL DESIGN (Trace 299)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 217.66 kg\n  Factor of Safety: 0.68\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": 217.66209522069778,
      "fos_buckling": 0.6779684148806197,
      "fos_yielding": 3.879896025148676,
      "deflection": 0.020068915323101875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2127": {
      "node_id": "node_2127",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 244.80 kg\n  Factor of Safety: 1.47\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": 244.80061878908023,
      "fos_buckling": 1.468800749652936,
      "fos_yielding": 8.108466717230455,
      "deflection": 0.0117767019971451,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2126",
      "improvement_over_parent": null
    },
    "node_2128": {
      "node_id": "node_2128",
      "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 247.37 kg\n  Factor of Safety: 1.47\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": 247.37250132516527,
      "fos_buckling": 1.4684787659645029,
      "fos_yielding": 8.089346814253899,
      "deflection": 0.011700925851088487,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.220)"
      },
      "parent_node_id": "node_2127",
      "improvement_over_parent": null
    },
    "node_2129": {
      "node_id": "node_2129",
      "content": "MODIFICATION: Increase 11 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0084)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 251.91 kg\n  Factor of Safety: 1.47\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": 251.91033076425626,
      "fos_buckling": 1.4661296271282247,
      "fos_yielding": 7.908477630836878,
      "deflection": 0.011635176083225014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.309)"
      },
      "parent_node_id": "node_2128",
      "improvement_over_parent": null
    },
    "node_2130": {
      "node_id": "node_2130",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2129",
      "improvement_over_parent": null
    },
    "node_2131": {
      "node_id": "node_2131",
      "content": "INITIAL DESIGN (Trace 300)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 171.72 kg\n  Factor of Safety: 0.39\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": 171.72115944778375,
      "fos_buckling": 0.3860334125405711,
      "fos_yielding": 1.85790792528126,
      "deflection": 0.025056526898143708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2132": {
      "node_id": "node_2132",
      "content": "MODIFICATION: Increase 6 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 172.34 kg\n  Factor of Safety: 0.54\n  Max Deflection: 2.42e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.34006196616934,
      "fos_buckling": 0.5445542232978586,
      "fos_yielding": 2.9602014870533777,
      "deflection": 0.02415600798035275,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.653)"
      },
      "parent_node_id": "node_2131",
      "improvement_over_parent": null
    },
    "node_2133": {
      "node_id": "node_2133",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n  Mass: 172.88 kg\n  Factor of Safety: 0.54\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": 172.88038569914255,
      "fos_buckling": 0.544525579874508,
      "fos_yielding": 2.991900060978852,
      "deflection": 0.02406337955115396,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001603)"
      },
      "parent_node_id": "node_2132",
      "improvement_over_parent": null
    },
    "node_2134": {
      "node_id": "node_2134",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n\nPerformance:\n  Mass: 193.70 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.7008320569991,
      "fos_buckling": 1.2337069635067666,
      "fos_yielding": 5.9377222637572125,
      "deflection": 0.014872399614111298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006110)"
      },
      "parent_node_id": "node_2133",
      "improvement_over_parent": null
    },
    "node_2135": {
      "node_id": "node_2135",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46965896700542,
      "fos_buckling": 1.5344519415498616,
      "fos_yielding": 7.744422595086554,
      "deflection": 0.01148714946085656,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_2134",
      "improvement_over_parent": null
    },
    "node_2136": {
      "node_id": "node_2136",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2135",
      "improvement_over_parent": null
    },
    "node_2137": {
      "node_id": "node_2137",
      "content": "INITIAL DESIGN (Trace 301)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n\nPerformance:\n  Mass: 111.03 kg\n  Factor of Safety: 0.06\n  Max Deflection: 2.95e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.02878653792382,
      "fos_buckling": 0.05740092428392246,
      "fos_yielding": 0.8474577543759945,
      "deflection": 29469950425332.117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2138": {
      "node_id": "node_2138",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 121.58 kg\n  Factor of Safety: 0.03\n  Max Deflection: 7.95e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.58414148566115,
      "fos_buckling": 0.02870046214196123,
      "fos_yielding": 0.42372887718799723,
      "deflection": 79538736743170.48,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003673)"
      },
      "parent_node_id": "node_2137",
      "improvement_over_parent": null
    },
    "node_2139": {
      "node_id": "node_2139",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 142.47 kg\n  Factor of Safety: 0.20\n  Max Deflection: 8.72e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.469195814527,
      "fos_buckling": 0.19553993309073384,
      "fos_yielding": 0.4237288771879973,
      "deflection": 87172314752087.45,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_2138",
      "improvement_over_parent": null
    },
    "node_2140": {
      "node_id": "node_2140",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 176.21 kg\n  Factor of Safety: 0.23\n  Max Deflection: 1.09e+14 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.21484524221307,
      "fos_buckling": 0.228242310297073,
      "fos_yielding": 0.4237288771879973,
      "deflection": 109245085796234.22,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_2139",
      "improvement_over_parent": null
    },
    "node_2141": {
      "node_id": "node_2141",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n  Mass: 178.31 kg\n  Factor of Safety: 0.23\n  Max Deflection: 6.69e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.30737575266875,
      "fos_buckling": 0.228242310297073,
      "fos_yielding": 0.8474577543759946,
      "deflection": 66918113206886.84,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003282)"
      },
      "parent_node_id": "node_2140",
      "improvement_over_parent": null
    },
    "node_2142": {
      "node_id": "node_2142",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 216.95 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.84e+13 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.95295720771728,
      "fos_buckling": 0.3587196955173496,
      "fos_yielding": 2.082095726135901,
      "deflection": 38432392393430.54,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_2141",
      "improvement_over_parent": null
    },
    "node_2143": {
      "node_id": "node_2143",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 235.80 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.80100522302948,
      "fos_buckling": 0.9019550462179114,
      "fos_yielding": 5.47444675814976,
      "deflection": 0.012549589923016517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_2142",
      "improvement_over_parent": null
    },
    "node_2144": {
      "node_id": "node_2144",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47128902928654,
      "fos_buckling": 1.534549683498352,
      "fos_yielding": 7.744103498359981,
      "deflection": 0.01148707030781929,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2143",
      "improvement_over_parent": null
    },
    "node_2145": {
      "node_id": "node_2145",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2144",
      "improvement_over_parent": null
    },
    "node_2146": {
      "node_id": "node_2146",
      "content": "INITIAL DESIGN (Trace 302)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 199.97 kg\n  Factor of Safety: 0.79\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": 199.96601919684844,
      "fos_buckling": 0.7891058138054207,
      "fos_yielding": 3.48101972618541,
      "deflection": 0.01485162829330976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2147": {
      "node_id": "node_2147",
      "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 200.65 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": 200.6544184254572,
      "fos_buckling": 0.7889984362736631,
      "fos_yielding": 3.480549812727996,
      "deflection": 0.01476905988638497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.502)"
      },
      "parent_node_id": "node_2146",
      "improvement_over_parent": null
    },
    "node_2148": {
      "node_id": "node_2148",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n  Mass: 214.85 kg\n  Factor of Safety: 1.35\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": 214.849982819856,
      "fos_buckling": 1.3465676109830584,
      "fos_yielding": 6.568954932386346,
      "deflection": 0.013433422873127645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005358)"
      },
      "parent_node_id": "node_2147",
      "improvement_over_parent": null
    },
    "node_2149": {
      "node_id": "node_2149",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.41 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.40524685539356,
      "fos_buckling": 1.534968261637621,
      "fos_yielding": 7.720741525725051,
      "deflection": 0.011483709911532282,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2148",
      "improvement_over_parent": null
    },
    "node_2150": {
      "node_id": "node_2150",
      "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.60605078413528,
      "fos_buckling": 1.535209739724738,
      "fos_yielding": 7.747916161379303,
      "deflection": 0.01148107348858061,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.437)"
      },
      "parent_node_id": "node_2149",
      "improvement_over_parent": null
    },
    "node_2151": {
      "node_id": "node_2151",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2150",
      "improvement_over_parent": null
    },
    "node_2152": {
      "node_id": "node_2152",
      "content": "INITIAL DESIGN (Trace 303)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 164.52 kg\n  Factor of Safety: 1.06\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": 164.51820408961382,
      "fos_buckling": 1.0554097719151718,
      "fos_yielding": 4.850553909681451,
      "deflection": 0.017457735863074218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2153": {
      "node_id": "node_2153",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 199.31 kg\n  Factor of Safety: 1.24\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": 199.3149855577358,
      "fos_buckling": 1.2411574807214316,
      "fos_yielding": 5.877920564836566,
      "deflection": 0.014467392598825122,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_2152",
      "improvement_over_parent": null
    },
    "node_2154": {
      "node_id": "node_2154",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 199.87 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.87256972239044,
      "fos_buckling": 1.2669538317834694,
      "fos_yielding": 6.127296954193306,
      "deflection": 0.01442326976097445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001658)"
      },
      "parent_node_id": "node_2153",
      "improvement_over_parent": null
    },
    "node_2155": {
      "node_id": "node_2155",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4890638388387,
      "fos_buckling": 1.5346447966819665,
      "fos_yielding": 7.744962508539411,
      "deflection": 0.011486239444455001,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_2154",
      "improvement_over_parent": null
    },
    "node_2156": {
      "node_id": "node_2156",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2155",
      "improvement_over_parent": null
    },
    "node_2157": {
      "node_id": "node_2157",
      "content": "INITIAL DESIGN (Trace 304)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 217.31 kg\n  Factor of Safety: 1.12\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": 217.3135866637886,
      "fos_buckling": 1.1167074070027558,
      "fos_yielding": 7.0846943867429,
      "deflection": 0.01316715970086716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2158": {
      "node_id": "node_2158",
      "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 221.72 kg\n  Factor of Safety: 1.13\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": 221.71857818699692,
      "fos_buckling": 1.1276497537824055,
      "fos_yielding": 7.154115599785311,
      "deflection": 0.013041293097814972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.451)"
      },
      "parent_node_id": "node_2157",
      "improvement_over_parent": null
    },
    "node_2159": {
      "node_id": "node_2159",
      "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 221.91 kg\n  Factor of Safety: 1.32\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": 221.9124889434517,
      "fos_buckling": 1.3174471059698363,
      "fos_yielding": 7.295463877440935,
      "deflection": 0.013016515887475917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.221)"
      },
      "parent_node_id": "node_2158",
      "improvement_over_parent": null
    },
    "node_2160": {
      "node_id": "node_2160",
      "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 222.26 kg\n  Factor of Safety: 1.34\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": 222.26197892848316,
      "fos_buckling": 1.3437528755834935,
      "fos_yielding": 7.301823863394898,
      "deflection": 0.012987482628472068,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.337)"
      },
      "parent_node_id": "node_2159",
      "improvement_over_parent": null
    },
    "node_2161": {
      "node_id": "node_2161",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 246.98 kg\n  Factor of Safety: 1.46\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": 246.9844752427869,
      "fos_buckling": 1.4637052708912683,
      "fos_yielding": 8.111301122761699,
      "deflection": 0.0117202136444678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_2160",
      "improvement_over_parent": null
    },
    "node_2162": {
      "node_id": "node_2162",
      "content": "MODIFICATION: Increase 11 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.39 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.39266510300803,
      "fos_buckling": 1.5342299531991832,
      "fos_yielding": 7.740730493146042,
      "deflection": 0.01149072254397761,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.332)"
      },
      "parent_node_id": "node_2161",
      "improvement_over_parent": null
    },
    "node_2163": {
      "node_id": "node_2163",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2162",
      "improvement_over_parent": null
    },
    "node_2164": {
      "node_id": "node_2164",
      "content": "INITIAL DESIGN (Trace 305)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 171.00 kg\n  Factor of Safety: 0.61\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": 171.00087308136432,
      "fos_buckling": 0.6064943302352845,
      "fos_yielding": 4.3558614041575705,
      "deflection": 0.019422077502405686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2165": {
      "node_id": "node_2165",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n\nPerformance:\n  Mass: 183.12 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.1246238635891,
      "fos_buckling": 1.1563038010205238,
      "fos_yielding": 5.399874667206348,
      "deflection": 0.015717354902373068,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004523)"
      },
      "parent_node_id": "node_2164",
      "improvement_over_parent": null
    },
    "node_2166": {
      "node_id": "node_2166",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.73664626516583,
      "fos_buckling": 1.2689566535648151,
      "fos_yielding": 6.03807595775307,
      "deflection": 0.014092972663703858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_2165",
      "improvement_over_parent": null
    },
    "node_2167": {
      "node_id": "node_2167",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 205.31 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.30922476698524,
      "fos_buckling": 1.2958638884698,
      "fos_yielding": 6.294393627858651,
      "deflection": 0.01405002356593128,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001706)"
      },
      "parent_node_id": "node_2166",
      "improvement_over_parent": null
    },
    "node_2168": {
      "node_id": "node_2168",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.61245282141172,
      "fos_buckling": 1.5352465494607745,
      "fos_yielding": 7.748806068550751,
      "deflection": 0.011480760130584198,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_2167",
      "improvement_over_parent": null
    },
    "node_2169": {
      "node_id": "node_2169",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 306)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 174.33 kg\n  Factor of Safety: 0.60\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": 174.32802060371208,
      "fos_buckling": 0.5996578061977057,
      "fos_yielding": 2.7187264247643923,
      "deflection": 0.02592823828879037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2171": {
      "node_id": "node_2171",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n  Mass: 190.50 kg\n  Factor of Safety: 0.60\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": 190.4950253803393,
      "fos_buckling": 0.5982445459311367,
      "fos_yielding": 3.3232217053574646,
      "deflection": 0.02172211898868844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005742)"
      },
      "parent_node_id": "node_2170",
      "improvement_over_parent": null
    },
    "node_2172": {
      "node_id": "node_2172",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 191.10 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.09925235060982,
      "fos_buckling": 0.5982094181122848,
      "fos_yielding": 3.3383907329304017,
      "deflection": 0.021614556500748797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001808)"
      },
      "parent_node_id": "node_2171",
      "improvement_over_parent": null
    },
    "node_2173": {
      "node_id": "node_2173",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 222.80 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.79581817036717,
      "fos_buckling": 0.6777393606244747,
      "fos_yielding": 3.8756607214125927,
      "deflection": 0.018605483224138072,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_2172",
      "improvement_over_parent": null
    },
    "node_2174": {
      "node_id": "node_2174",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 249.93 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 249.93434173874962,
      "fos_buckling": 1.5223271415632185,
      "fos_yielding": 7.871339803004852,
      "deflection": 0.0115377764423139,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2173",
      "improvement_over_parent": null
    },
    "node_2175": {
      "node_id": "node_2175",
      "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0081)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 253.17 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.1696323842115,
      "fos_buckling": 1.5288978616951594,
      "fos_yielding": 7.856696156231729,
      "deflection": 0.011471407266830113,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.195)"
      },
      "parent_node_id": "node_2174",
      "improvement_over_parent": null
    },
    "node_2176": {
      "node_id": "node_2176",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 307)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 214.20 kg\n  Factor of Safety: 1.20\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.20085415213276,
      "fos_buckling": 1.1971225034440958,
      "fos_yielding": 6.510693148438891,
      "deflection": 0.013434573824964135,
      "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 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 214.62 kg\n  Factor of Safety: 1.24\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": 214.6203435744399,
      "fos_buckling": 1.24421144082419,
      "fos_yielding": 6.517371396293157,
      "deflection": 0.013394279258307202,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.456)"
      },
      "parent_node_id": "node_2177",
      "improvement_over_parent": null
    },
    "node_2179": {
      "node_id": "node_2179",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.05 kg\n  Factor of Safety: 1.42\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": 249.0498889941723,
      "fos_buckling": 1.417196750372861,
      "fos_yielding": 7.567376015518469,
      "deflection": 0.01158776985821695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_2178",
      "improvement_over_parent": null
    },
    "node_2180": {
      "node_id": "node_2180",
      "content": "MODIFICATION: Increase 13 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.34580917704534,
      "fos_buckling": 1.5339956488908377,
      "fos_yielding": 7.740373911520879,
      "deflection": 0.011492361133751837,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.233)"
      },
      "parent_node_id": "node_2179",
      "improvement_over_parent": null
    },
    "node_2181": {
      "node_id": "node_2181",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 308)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 219.54 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.53868553029503,
      "fos_buckling": 0.4429910226706676,
      "fos_yielding": 1.866042959887724,
      "deflection": 0.028235726344317657,
      "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 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 220.01 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.01027260913853,
      "fos_buckling": 0.44299102267066737,
      "fos_yielding": 1.8835694552875863,
      "deflection": 0.028174765655918334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.443)"
      },
      "parent_node_id": "node_2182",
      "improvement_over_parent": null
    },
    "node_2184": {
      "node_id": "node_2184",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n\nPerformance:\n  Mass: 221.79 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.58e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.79200410476506,
      "fos_buckling": 0.44283787557161486,
      "fos_yielding": 1.8829240479054188,
      "deflection": 0.02575226312357389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002763)"
      },
      "parent_node_id": "node_2183",
      "improvement_over_parent": null
    },
    "node_2185": {
      "node_id": "node_2185",
      "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n\nPerformance:\n  Mass: 222.08 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.53e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.07941985122702,
      "fos_buckling": 0.44282552790759894,
      "fos_yielding": 2.562453353614526,
      "deflection": 0.025275303423675524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.471)"
      },
      "parent_node_id": "node_2184",
      "improvement_over_parent": null
    },
    "node_2186": {
      "node_id": "node_2186",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 247.20 kg\n  Factor of Safety: 1.30\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": 247.20156150307386,
      "fos_buckling": 1.2957777612070633,
      "fos_yielding": 5.412822938301361,
      "deflection": 0.012087847500551965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_2185",
      "improvement_over_parent": null
    },
    "node_2187": {
      "node_id": "node_2187",
      "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.00 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.00231414462627,
      "fos_buckling": 1.3480180170033738,
      "fos_yielding": 5.631044969379894,
      "deflection": 0.011627841148611486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.247)"
      },
      "parent_node_id": "node_2186",
      "improvement_over_parent": null
    },
    "node_2188": {
      "node_id": "node_2188",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2187",
      "improvement_over_parent": null
    },
    "node_2189": {
      "node_id": "node_2189",
      "content": "INITIAL DESIGN (Trace 309)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 137.13 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.29e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.12559145242648,
      "fos_buckling": 0.5846637383437603,
      "fos_yielding": 3.4546549980283454,
      "deflection": 0.022859516983606734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2190": {
      "node_id": "node_2190",
      "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 137.49 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.28e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.4897327772742,
      "fos_buckling": 0.5846637383437598,
      "fos_yielding": 3.423170425150021,
      "deflection": 0.022762252803904617,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.387)"
      },
      "parent_node_id": "node_2189",
      "improvement_over_parent": null
    },
    "node_2191": {
      "node_id": "node_2191",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n  Mass: 148.84 kg\n  Factor of Safety: 0.20\n  Max Deflection: 2.09e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.83578857884555,
      "fos_buckling": 0.200572309631236,
      "fos_yielding": 2.8915687779852894,
      "deflection": 0.02093438474705131,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004064)"
      },
      "parent_node_id": "node_2190",
      "improvement_over_parent": null
    },
    "node_2192": {
      "node_id": "node_2192",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n  Mass: 172.67 kg\n  Factor of Safety: 0.23\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.6746041159985,
      "fos_buckling": 0.23062576168133947,
      "fos_yielding": 3.3629654022985895,
      "deflection": 0.018084635896324378,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_2191",
      "improvement_over_parent": null
    },
    "node_2193": {
      "node_id": "node_2193",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n\nPerformance:\n  Mass: 186.62 kg\n  Factor of Safety: 1.20\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": 186.61633420288493,
      "fos_buckling": 1.1960059132362906,
      "fos_yielding": 5.700637056073399,
      "deflection": 0.015414746793706259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004897)"
      },
      "parent_node_id": "node_2192",
      "improvement_over_parent": null
    },
    "node_2194": {
      "node_id": "node_2194",
      "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n\nPerformance:\n  Mass: 186.79 kg\n  Factor of Safety: 1.20\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.79064260965652,
      "fos_buckling": 1.1962460856999104,
      "fos_yielding": 5.725225409201404,
      "deflection": 0.015410213112276914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.536)"
      },
      "parent_node_id": "node_2193",
      "improvement_over_parent": null
    },
    "node_2195": {
      "node_id": "node_2195",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n  Mass: 213.95 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.94595555595058,
      "fos_buckling": 1.3412178001882888,
      "fos_yielding": 6.5595849909857575,
      "deflection": 0.013496069969682457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_2194",
      "improvement_over_parent": null
    },
    "node_2196": {
      "node_id": "node_2196",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5125401619819,
      "fos_buckling": 1.5347944377441218,
      "fos_yielding": 7.7454521735011275,
      "deflection": 0.011485112353366193,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_2195",
      "improvement_over_parent": null
    },
    "node_2197": {
      "node_id": "node_2197",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2196",
      "improvement_over_parent": null
    },
    "node_2198": {
      "node_id": "node_2198",
      "content": "INITIAL DESIGN (Trace 310)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n  Mass: 130.04 kg\n  Factor of Safety: 0.29\n  Max Deflection: 4.65e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.0437189222918,
      "fos_buckling": 0.2928273525563977,
      "fos_yielding": 1.1888608952566644,
      "deflection": 0.04647461145158471,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2199": {
      "node_id": "node_2199",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 168.48 kg\n  Factor of Safety: 0.37\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": 168.4789959913736,
      "fos_buckling": 0.36618426097405654,
      "fos_yielding": 1.5306308034987932,
      "deflection": 0.0359683089559857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_2198",
      "improvement_over_parent": null
    },
    "node_2200": {
      "node_id": "node_2200",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 188.41 kg\n  Factor of Safety: 1.08\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": 188.40896207609643,
      "fos_buckling": 1.081857330515209,
      "fos_yielding": 5.253967322808215,
      "deflection": 0.016105016110099186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006332)"
      },
      "parent_node_id": "node_2199",
      "improvement_over_parent": null
    },
    "node_2201": {
      "node_id": "node_2201",
      "content": "MODIFICATION: Increase 6 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0048)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 189.37 kg\n  Factor of Safety: 1.06\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": 189.36768631545144,
      "fos_buckling": 1.05623140165904,
      "fos_yielding": 5.129516723797343,
      "deflection": 0.015938800707691953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.531)"
      },
      "parent_node_id": "node_2200",
      "improvement_over_parent": null
    },
    "node_2202": {
      "node_id": "node_2202",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0054)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n  Mass: 210.39 kg\n  Factor of Safety: 1.16\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": 210.39289798400375,
      "fos_buckling": 1.1607853343131076,
      "fos_yielding": 5.694585960826018,
      "deflection": 0.014374232146400436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_2201",
      "improvement_over_parent": null
    },
    "node_2203": {
      "node_id": "node_2203",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0062)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 238.84 kg\n  Factor of Safety: 1.30\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": 238.83696414925467,
      "fos_buckling": 1.2982932273456138,
      "fos_yielding": 6.458666609052568,
      "deflection": 0.012695690545837478,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_2202",
      "improvement_over_parent": null
    },
    "node_2204": {
      "node_id": "node_2204",
      "content": "MODIFICATION: Increase 15 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0062)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0109)]\n\nPerformance:\n  Mass: 246.32 kg\n  Factor of Safety: 1.30\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": 246.3155535961675,
      "fos_buckling": 1.2994324805209496,
      "fos_yielding": 6.464334093321774,
      "deflection": 0.01220530341053162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.339)"
      },
      "parent_node_id": "node_2203",
      "improvement_over_parent": null
    },
    "node_2205": {
      "node_id": "node_2205",
      "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0062)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0109)]\n\nPerformance:\n  Mass: 255.97 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.970060153742,
      "fos_buckling": 1.2914406770851914,
      "fos_yielding": 6.424576977664494,
      "deflection": 0.011179286304831915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.642)"
      },
      "parent_node_id": "node_2204",
      "improvement_over_parent": null
    },
    "node_2206": {
      "node_id": "node_2206",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2205",
      "improvement_over_parent": null
    },
    "node_2207": {
      "node_id": "node_2207",
      "content": "INITIAL DESIGN (Trace 311)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 159.56 kg\n  Factor of Safety: 0.35\n  Max Deflection: 3.89e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.56469833014535,
      "fos_buckling": 0.3534573564175298,
      "fos_yielding": 0.982784733399576,
      "deflection": 0.03886370910768917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2208": {
      "node_id": "node_2208",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 179.20 kg\n  Factor of Safety: 0.39\n  Max Deflection: 3.47e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.19723625636277,
      "fos_buckling": 0.3897520240893604,
      "fos_yielding": 1.1006446933568201,
      "deflection": 0.03470340689021713,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_2207",
      "improvement_over_parent": null
    },
    "node_2209": {
      "node_id": "node_2209",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n  Mass: 194.40 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.80e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.40045292680446,
      "fos_buckling": 0.38946392962350346,
      "fos_yielding": 1.6147930330121985,
      "deflection": 0.027980817054111217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005556)"
      },
      "parent_node_id": "node_2208",
      "improvement_over_parent": null
    },
    "node_2210": {
      "node_id": "node_2210",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 227.67 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.66700310226477,
      "fos_buckling": 0.4429712329898483,
      "fos_yielding": 1.882544038561101,
      "deflection": 0.023992190680069123,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2209",
      "improvement_over_parent": null
    },
    "node_2211": {
      "node_id": "node_2211",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.79 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.78914475411162,
      "fos_buckling": 1.5363490383134426,
      "fos_yielding": 7.757431631229709,
      "deflection": 0.01147364023781204,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_2210",
      "improvement_over_parent": null
    },
    "node_2212": {
      "node_id": "node_2212",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2211",
      "improvement_over_parent": null
    },
    "node_2213": {
      "node_id": "node_2213",
      "content": "INITIAL DESIGN (Trace 312)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 131.04 kg\n  Factor of Safety: 0.06\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": 131.0429334303435,
      "fos_buckling": 0.05596705446117525,
      "fos_yielding": 0.8474577543759945,
      "deflection": 39096386367067.03,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2214": {
      "node_id": "node_2214",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 159.24 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.55e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.23749278337596,
      "fos_buckling": 0.5245496515624644,
      "fos_yielding": 1.1299436725013263,
      "deflection": 25510246646136.004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_2213",
      "improvement_over_parent": null
    },
    "node_2215": {
      "node_id": "node_2215",
      "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 162.87 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.25e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.87452850458948,
      "fos_buckling": 0.4359401691073875,
      "fos_yielding": 6.779662035007957,
      "deflection": 12480214826348.705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.362)"
      },
      "parent_node_id": "node_2214",
      "improvement_over_parent": null
    },
    "node_2216": {
      "node_id": "node_2216",
      "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 168.60 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.78e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.59680392540588,
      "fos_buckling": 0.8207532133900333,
      "fos_yielding": 5.600099079280642,
      "deflection": 17814802336487.566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.560)"
      },
      "parent_node_id": "node_2215",
      "improvement_over_parent": null
    },
    "node_2217": {
      "node_id": "node_2217",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n  Mass: 190.44 kg\n  Factor of Safety: 0.76\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": 190.44228588215336,
      "fos_buckling": 0.7589802041529542,
      "fos_yielding": 4.672450428587896,
      "deflection": 0.016779551670051143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006991)"
      },
      "parent_node_id": "node_2216",
      "improvement_over_parent": null
    },
    "node_2218": {
      "node_id": "node_2218",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n  Mass: 206.83 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.83279083307312,
      "fos_buckling": 0.7554246452916901,
      "fos_yielding": 4.375553675973867,
      "deflection": 0.015056280333589132,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005828)"
      },
      "parent_node_id": "node_2217",
      "improvement_over_parent": null
    },
    "node_2219": {
      "node_id": "node_2219",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 237.71 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.70927034044786,
      "fos_buckling": 0.8434866938058362,
      "fos_yielding": 5.001195067568435,
      "deflection": 0.013151102007129522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_2218",
      "improvement_over_parent": null
    },
    "node_2220": {
      "node_id": "node_2220",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.43377794910543,
      "fos_buckling": 1.53451564567281,
      "fos_yielding": 7.742784876963577,
      "deflection": 0.011489051721377555,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_2219",
      "improvement_over_parent": null
    },
    "node_2221": {
      "node_id": "node_2221",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 313)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 220.47 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.47217156491283,
      "fos_buckling": 0.6776922737178598,
      "fos_yielding": 3.8754666838218133,
      "deflection": 0.018729389911036086,
      "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: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 247.61 kg\n  Factor of Safety: 1.34\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": 247.61069513329528,
      "fos_buckling": 1.341041180612955,
      "fos_yielding": 7.703857100167868,
      "deflection": 0.01164702652013527,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2222",
      "improvement_over_parent": null
    },
    "node_2224": {
      "node_id": "node_2224",
      "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 251.97 kg\n  Factor of Safety: 1.34\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": 251.97341835984898,
      "fos_buckling": 1.335182188030679,
      "fos_yielding": 7.7354675679246885,
      "deflection": 0.011523536405394216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.462)"
      },
      "parent_node_id": "node_2223",
      "improvement_over_parent": null
    },
    "node_2225": {
      "node_id": "node_2225",
      "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46896819523934,
      "fos_buckling": 1.5345109392046046,
      "fos_yielding": 7.744418508588055,
      "deflection": 0.011487053683041532,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.475)"
      },
      "parent_node_id": "node_2224",
      "improvement_over_parent": null
    },
    "node_2226": {
      "node_id": "node_2226",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2225",
      "improvement_over_parent": null
    },
    "node_2227": {
      "node_id": "node_2227",
      "content": "INITIAL DESIGN (Trace 314)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n  Mass: 146.63 kg\n  Factor of Safety: 0.59\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": 146.62629111606242,
      "fos_buckling": 0.5857985549632814,
      "fos_yielding": 4.24278459287925,
      "deflection": 0.024920596673615236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2228": {
      "node_id": "node_2228",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n  Mass: 168.84 kg\n  Factor of Safety: 0.67\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": 168.83802518036194,
      "fos_buckling": 0.6658141707377229,
      "fos_yielding": 4.8585812955582135,
      "deflection": 0.021691353326883978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_2227",
      "improvement_over_parent": null
    },
    "node_2229": {
      "node_id": "node_2229",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 205.02 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.01881341767643,
      "fos_buckling": 0.7778729175734338,
      "fos_yielding": 5.847150253450316,
      "deflection": 0.01792941153840017,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_2228",
      "improvement_over_parent": null
    },
    "node_2230": {
      "node_id": "node_2230",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 207.56 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.56480557873857,
      "fos_buckling": 0.38415788994646216,
      "fos_yielding": 5.844346450652659,
      "deflection": 0.016896382148931258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_2229",
      "improvement_over_parent": null
    },
    "node_2231": {
      "node_id": "node_2231",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 226.18 kg\n  Factor of Safety: 0.92\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": 226.1803316351059,
      "fos_buckling": 0.9167753224802433,
      "fos_yielding": 6.8170081808803635,
      "deflection": 0.014804774887728205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2230",
      "improvement_over_parent": null
    },
    "node_2232": {
      "node_id": "node_2232",
      "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0080)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 229.57 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.5683012763106,
      "fos_buckling": 0.9166249526748376,
      "fos_yielding": 6.815890052841277,
      "deflection": 0.01474627004943364,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.214)"
      },
      "parent_node_id": "node_2231",
      "improvement_over_parent": null
    },
    "node_2233": {
      "node_id": "node_2233",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0080)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.85 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.85414087840783,
      "fos_buckling": 1.424331869280336,
      "fos_yielding": 7.598952252998928,
      "deflection": 0.011511666094109124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_2232",
      "improvement_over_parent": null
    },
    "node_2234": {
      "node_id": "node_2234",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2233",
      "improvement_over_parent": null
    },
    "node_2235": {
      "node_id": "node_2235",
      "content": "INITIAL DESIGN (Trace 315)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 193.24 kg\n  Factor of Safety: 1.05\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": 193.23639976466941,
      "fos_buckling": 1.053115842100202,
      "fos_yielding": 5.65258891412103,
      "deflection": 0.015159853014511265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2236": {
      "node_id": "node_2236",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.96 kg\n  Factor of Safety: 1.25\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": 233.9554929931045,
      "fos_buckling": 1.245900585779668,
      "fos_yielding": 6.849228905025926,
      "deflection": 0.012575339228581381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_2235",
      "improvement_over_parent": null
    },
    "node_2237": {
      "node_id": "node_2237",
      "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 237.57 kg\n  Factor of Safety: 1.25\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": 237.56587681492547,
      "fos_buckling": 1.2459907374236845,
      "fos_yielding": 7.0701554850770885,
      "deflection": 0.012312292242234981,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.200)"
      },
      "parent_node_id": "node_2236",
      "improvement_over_parent": null
    },
    "node_2238": {
      "node_id": "node_2238",
      "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 243.23 kg\n  Factor of Safety: 1.25\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": 243.2300007297962,
      "fos_buckling": 1.2461307184796386,
      "fos_yielding": 7.446272147653905,
      "deflection": 0.011909271770839254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.370)"
      },
      "parent_node_id": "node_2237",
      "improvement_over_parent": null
    },
    "node_2239": {
      "node_id": "node_2239",
      "content": "MODIFICATION: Increase 5 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 248.47 kg\n  Factor of Safety: 1.39\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": 248.46725268617797,
      "fos_buckling": 1.3934911449414067,
      "fos_yielding": 7.485654226132191,
      "deflection": 0.011744021678209824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.605)"
      },
      "parent_node_id": "node_2238",
      "improvement_over_parent": null
    },
    "node_2240": {
      "node_id": "node_2240",
      "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.50673489868763,
      "fos_buckling": 1.534775972276393,
      "fos_yielding": 7.746125128731369,
      "deflection": 0.011485205660210024,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.192)"
      },
      "parent_node_id": "node_2239",
      "improvement_over_parent": null
    },
    "node_2241": {
      "node_id": "node_2241",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2240",
      "improvement_over_parent": null
    },
    "node_2242": {
      "node_id": "node_2242",
      "content": "INITIAL DESIGN (Trace 316)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 115.26 kg\n  Factor of Safety: 0.03\n  Max Deflection: 5.48e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.2565333028921,
      "fos_buckling": 0.026655076376477325,
      "fos_yielding": 0.07062147953133287,
      "deflection": 548116854048691.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2243": {
      "node_id": "node_2243",
      "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 115.35 kg\n  Factor of Safety: 0.24\n  Max Deflection: 5.85e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.35003151121964,
      "fos_buckling": 0.23934359967843388,
      "fos_yielding": 0.8474577543759946,
      "deflection": 58503142721033.36,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.326)"
      },
      "parent_node_id": "node_2242",
      "improvement_over_parent": null
    },
    "node_2244": {
      "node_id": "node_2244",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n\nPerformance:\n  Mass: 130.54 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.60e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.54056833480416,
      "fos_buckling": 0.5590443594408759,
      "fos_yielding": 3.851376910792646,
      "deflection": 0.026023734266065714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004375)"
      },
      "parent_node_id": "node_2243",
      "improvement_over_parent": null
    },
    "node_2245": {
      "node_id": "node_2245",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n  Mass: 141.32 kg\n  Factor of Safety: 0.94\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.32377446221102,
      "fos_buckling": 0.9372062863800785,
      "fos_yielding": 4.3295993537621325,
      "deflection": 0.02026220040667009,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003830)"
      },
      "parent_node_id": "node_2244",
      "improvement_over_parent": null
    },
    "node_2246": {
      "node_id": "node_2246",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n  Mass: 173.53 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.53363653888198,
      "fos_buckling": 1.1227413278079703,
      "fos_yielding": 5.3183356221868925,
      "deflection": 0.01656244767609667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2245",
      "improvement_over_parent": null
    },
    "node_2247": {
      "node_id": "node_2247",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 216.41 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.41127135061046,
      "fos_buckling": 1.3538973047281153,
      "fos_yielding": 6.6356654035908065,
      "deflection": 0.01334619613448375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_2246",
      "improvement_over_parent": null
    },
    "node_2248": {
      "node_id": "node_2248",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46431138467395,
      "fos_buckling": 1.5344226271927561,
      "fos_yielding": 7.7443214747578,
      "deflection": 0.01148734439918429,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_2247",
      "improvement_over_parent": null
    },
    "node_2249": {
      "node_id": "node_2249",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2248",
      "improvement_over_parent": null
    },
    "node_2250": {
      "node_id": "node_2250",
      "content": "INITIAL DESIGN (Trace 317)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0029)]\n\nPerformance:\n  Mass: 89.93 kg\n  Factor of Safety: 0.21\n  Max Deflection: 3.89e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 89.9292132317329,
      "fos_buckling": 0.20584138695659443,
      "fos_yielding": 1.4555422648699388,
      "deflection": 38868279475324.695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2251": {
      "node_id": "node_2251",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 117.23 kg\n  Factor of Safety: 0.06\n  Max Deflection: 7.26e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.23411615696374,
      "fos_buckling": 0.05726759500911007,
      "fos_yielding": 0.8474577543759946,
      "deflection": 72595166392111.88,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_2250",
      "improvement_over_parent": null
    },
    "node_2252": {
      "node_id": "node_2252",
      "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 117.38 kg\n  Factor of Safety: 0.06\n  Max Deflection: 7.26e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.37985098476891,
      "fos_buckling": 0.05726759500911007,
      "fos_yielding": 0.8474577543759946,
      "deflection": 72595166392111.88,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.190)"
      },
      "parent_node_id": "node_2251",
      "improvement_over_parent": null
    },
    "node_2253": {
      "node_id": "node_2253",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 138.28 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.59e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.2769773861104,
      "fos_buckling": 0.40681558474940405,
      "fos_yielding": 1.6949155087519892,
      "deflection": 25897924439392.273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2252",
      "improvement_over_parent": null
    },
    "node_2254": {
      "node_id": "node_2254",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 155.70 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.84e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.7031380337946,
      "fos_buckling": 1.320790201730149,
      "fos_yielding": 3.389831017503978,
      "deflection": 18406786998547.652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_2253",
      "improvement_over_parent": null
    },
    "node_2255": {
      "node_id": "node_2255",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 201.95 kg\n  Factor of Safety: 0.13\n  Max Deflection: 7.71e+13 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.9513287449701,
      "fos_buckling": 0.13448269558974155,
      "fos_yielding": 1.5816659496089172,
      "deflection": 77073359068187.61,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_2254",
      "improvement_over_parent": null
    },
    "node_2256": {
      "node_id": "node_2256",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 225.24 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.23716834706735,
      "fos_buckling": 0.6772902324970571,
      "fos_yielding": 3.8728442361114217,
      "deflection": 0.018573609380368113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_2255",
      "improvement_over_parent": null
    },
    "node_2257": {
      "node_id": "node_2257",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.38 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3756919154498,
      "fos_buckling": 1.5345010085442865,
      "fos_yielding": 7.740828725807282,
      "deflection": 0.011491227502516492,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2256",
      "improvement_over_parent": null
    },
    "node_2258": {
      "node_id": "node_2258",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2257",
      "improvement_over_parent": null
    },
    "node_2259": {
      "node_id": "node_2259",
      "content": "INITIAL DESIGN (Trace 318)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 199.91 kg\n  Factor of Safety: 0.27\n  Max Deflection: 5.86e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.91295882390153,
      "fos_buckling": 0.2743674188985046,
      "fos_yielding": 1.0487223388889628,
      "deflection": 0.058595865207256764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2260": {
      "node_id": "node_2260",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n\nPerformance:\n  Mass: 202.20 kg\n  Factor of Safety: 0.58\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": 202.20092618073787,
      "fos_buckling": 0.5834994048363024,
      "fos_yielding": 2.9449014439434156,
      "deflection": 0.020844824986276343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003615)"
      },
      "parent_node_id": "node_2259",
      "improvement_over_parent": null
    },
    "node_2261": {
      "node_id": "node_2261",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n  Mass: 226.59 kg\n  Factor of Safety: 1.40\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": 226.58939335350763,
      "fos_buckling": 1.3976962630987932,
      "fos_yielding": 7.0046755141119235,
      "deflection": 0.01278345525559382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007247)"
      },
      "parent_node_id": "node_2260",
      "improvement_over_parent": null
    },
    "node_2262": {
      "node_id": "node_2262",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n  Mass: 226.89 kg\n  Factor of Safety: 1.41\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": 226.8894636483712,
      "fos_buckling": 1.4077016110894118,
      "fos_yielding": 6.957027935029019,
      "deflection": 0.012745078320075086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.202)"
      },
      "parent_node_id": "node_2261",
      "improvement_over_parent": null
    },
    "node_2263": {
      "node_id": "node_2263",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49127377091742,
      "fos_buckling": 1.5345966094128605,
      "fos_yielding": 7.744319530077157,
      "deflection": 0.01148617158961033,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2262",
      "improvement_over_parent": null
    },
    "node_2264": {
      "node_id": "node_2264",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2263",
      "improvement_over_parent": null
    },
    "node_2265": {
      "node_id": "node_2265",
      "content": "INITIAL DESIGN (Trace 319)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 193.79 kg\n  Factor of Safety: 1.20\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": 193.78722320159173,
      "fos_buckling": 1.2036800851562146,
      "fos_yielding": 4.938454842025799,
      "deflection": 0.0160885732996058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2266": {
      "node_id": "node_2266",
      "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 196.55 kg\n  Factor of Safety: 1.25\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": 196.5469934769928,
      "fos_buckling": 1.2541646717644142,
      "fos_yielding": 5.782571821482459,
      "deflection": 0.01532446046056787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.252)"
      },
      "parent_node_id": "node_2265",
      "improvement_over_parent": null
    },
    "node_2267": {
      "node_id": "node_2267",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 244.28 kg\n  Factor of Safety: 1.50\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": 244.281172036134,
      "fos_buckling": 1.4974009058048752,
      "fos_yielding": 7.193187380290083,
      "deflection": 0.012384486649204855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_2266",
      "improvement_over_parent": null
    },
    "node_2268": {
      "node_id": "node_2268",
      "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.63676999230648,
      "fos_buckling": 1.5353815067963728,
      "fos_yielding": 7.749403095044289,
      "deflection": 0.01147989459009904,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.515)"
      },
      "parent_node_id": "node_2267",
      "improvement_over_parent": null
    },
    "node_2269": {
      "node_id": "node_2269",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 320)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 194.60 kg\n  Factor of Safety: 0.80\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": 194.603396726771,
      "fos_buckling": 0.8023720293763479,
      "fos_yielding": 5.8087899303227655,
      "deflection": 0.017416545617603373,
      "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 14 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 198.20 kg\n  Factor of Safety: 0.80\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": 198.2026875905118,
      "fos_buckling": 0.8022318151269502,
      "fos_yielding": 5.807774846184529,
      "deflection": 0.01727204208130466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.318)"
      },
      "parent_node_id": "node_2270",
      "improvement_over_parent": null
    },
    "node_2272": {
      "node_id": "node_2272",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.03 kg\n  Factor of Safety: 0.92\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": 233.03171033443874,
      "fos_buckling": 0.9152568181584124,
      "fos_yielding": 6.804449440857823,
      "deflection": 0.014748631258536904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_2271",
      "improvement_over_parent": null
    },
    "node_2273": {
      "node_id": "node_2273",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.30 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.29795115534606,
      "fos_buckling": 1.5338442285519551,
      "fos_yielding": 7.737889253617119,
      "deflection": 0.011494721205966795,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_2272",
      "improvement_over_parent": null
    },
    "node_2274": {
      "node_id": "node_2274",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2273",
      "improvement_over_parent": null
    },
    "node_2275": {
      "node_id": "node_2275",
      "content": "INITIAL DESIGN (Trace 321)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 166.97 kg\n  Factor of Safety: 0.67\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": 166.9679982368825,
      "fos_buckling": 0.6749014533607492,
      "fos_yielding": 1.953642631441993,
      "deflection": 0.019211342046060825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2276": {
      "node_id": "node_2276",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n\nPerformance:\n  Mass: 178.09 kg\n  Factor of Safety: 0.71\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": 178.0896859586881,
      "fos_buckling": 0.7117367567409063,
      "fos_yielding": 4.14698326665993,
      "deflection": 0.01651817163694666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004599)"
      },
      "parent_node_id": "node_2275",
      "improvement_over_parent": null
    },
    "node_2277": {
      "node_id": "node_2277",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n  Mass: 209.61 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.61335202790602,
      "fos_buckling": 0.8180633390477333,
      "fos_yielding": 4.873072693663262,
      "deflection": 0.014079637127359148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2276",
      "improvement_over_parent": null
    },
    "node_2278": {
      "node_id": "node_2278",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n  Mass: 224.43 kg\n  Factor of Safety: 1.40\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.43128959160384,
      "fos_buckling": 1.395231287317286,
      "fos_yielding": 6.882057535507723,
      "deflection": 0.012881074147695182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005613)"
      },
      "parent_node_id": "node_2277",
      "improvement_over_parent": null
    },
    "node_2279": {
      "node_id": "node_2279",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.61604415209018,
      "fos_buckling": 1.5352506920830533,
      "fos_yielding": 7.748822504035487,
      "deflection": 0.011480668531790274,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2278",
      "improvement_over_parent": null
    },
    "node_2280": {
      "node_id": "node_2280",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 322)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 158.09 kg\n  Factor of Safety: 0.33\n  Max Deflection: 2.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.09234398516455,
      "fos_buckling": 0.32954098726907327,
      "fos_yielding": 4.084393064712914,
      "deflection": 0.02102962105037117,
      "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 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n  Mass: 197.77 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.7686613784059,
      "fos_buckling": 0.3970750884342512,
      "fos_yielding": 5.063265626496549,
      "deflection": 0.016903616704259553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_2281",
      "improvement_over_parent": null
    },
    "node_2283": {
      "node_id": "node_2283",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 213.80 kg\n  Factor of Safety: 1.16\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": 213.79704066972542,
      "fos_buckling": 1.1643809206293214,
      "fos_yielding": 6.641210294301852,
      "deflection": 0.013427535439741706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005730)"
      },
      "parent_node_id": "node_2282",
      "improvement_over_parent": null
    },
    "node_2284": {
      "node_id": "node_2284",
      "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 217.49 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.4875308246925,
      "fos_buckling": 1.3595595275626111,
      "fos_yielding": 6.6687120869410075,
      "deflection": 0.013281801527986215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.443)"
      },
      "parent_node_id": "node_2283",
      "improvement_over_parent": null
    },
    "node_2285": {
      "node_id": "node_2285",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.72 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.72457083986703,
      "fos_buckling": 1.5357799520127906,
      "fos_yielding": 7.752287264837019,
      "deflection": 0.011475871020020975,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_2284",
      "improvement_over_parent": null
    },
    "node_2286": {
      "node_id": "node_2286",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2285",
      "improvement_over_parent": null
    },
    "node_2287": {
      "node_id": "node_2287",
      "content": "INITIAL DESIGN (Trace 323)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n\nPerformance:\n  Mass: 112.30 kg\n  Factor of Safety: 0.24\n  Max Deflection: 2.77e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.29800089388878,
      "fos_buckling": 0.23976488342778943,
      "fos_yielding": 2.875494007172661,
      "deflection": 0.027748824504086098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2288": {
      "node_id": "node_2288",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 121.24 kg\n  Factor of Safety: 0.82\n  Max Deflection: 2.36e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.23659922510883,
      "fos_buckling": 0.8163495062964794,
      "fos_yielding": 3.713309756695925,
      "deflection": 0.02356473565602437,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003087)"
      },
      "parent_node_id": "node_2287",
      "improvement_over_parent": null
    },
    "node_2289": {
      "node_id": "node_2289",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 139.86 kg\n  Factor of Safety: 0.93\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.85720351014572,
      "fos_buckling": 0.9285832412618362,
      "fos_yielding": 4.284543287697804,
      "deflection": 0.020471185572012243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_2288",
      "improvement_over_parent": null
    },
    "node_2290": {
      "node_id": "node_2290",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 176.70 kg\n  Factor of Safety: 1.14\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": 176.6950894848111,
      "fos_buckling": 1.1404828314739222,
      "fos_yielding": 5.4153528225833245,
      "deflection": 0.0162719779855991,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2289",
      "improvement_over_parent": null
    },
    "node_2291": {
      "node_id": "node_2291",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 222.20 kg\n  Factor of Safety: 1.38\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": 222.2049895032409,
      "fos_buckling": 1.3838530636035986,
      "fos_yielding": 6.813680289784282,
      "deflection": 0.013006779713622978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_2290",
      "improvement_over_parent": null
    },
    "node_2292": {
      "node_id": "node_2292",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.74 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.73985410245984,
      "fos_buckling": 1.5358587056176565,
      "fos_yielding": 7.752703102980817,
      "deflection": 0.01147516185260674,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_2291",
      "improvement_over_parent": null
    },
    "node_2293": {
      "node_id": "node_2293",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2292",
      "improvement_over_parent": null
    },
    "node_2294": {
      "node_id": "node_2294",
      "content": "INITIAL DESIGN (Trace 324)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 162.61 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.60920598397908,
      "fos_buckling": 0.6373234071387499,
      "fos_yielding": 3.622282905369272,
      "deflection": 0.018697982177122804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2295": {
      "node_id": "node_2295",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 194.88 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.8846337116692,
      "fos_buckling": 0.7407554054105451,
      "fos_yielding": 4.319255231224594,
      "deflection": 0.015665177662290947,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_2294",
      "improvement_over_parent": null
    },
    "node_2296": {
      "node_id": "node_2296",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 209.98 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.97900262465626,
      "fos_buckling": 1.2866633037167023,
      "fos_yielding": 6.84632296475467,
      "deflection": 0.01372511402486441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005513)"
      },
      "parent_node_id": "node_2295",
      "improvement_over_parent": null
    },
    "node_2297": {
      "node_id": "node_2297",
      "content": "MODIFICATION: Increase 11 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 214.16 kg\n  Factor of Safety: 1.34\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": 214.16060515078934,
      "fos_buckling": 1.3422541547140128,
      "fos_yielding": 6.5667550800955725,
      "deflection": 0.01348300913873195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.290)"
      },
      "parent_node_id": "node_2296",
      "improvement_over_parent": null
    },
    "node_2298": {
      "node_id": "node_2298",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.38 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3778296669807,
      "fos_buckling": 1.53405205231415,
      "fos_yielding": 7.741973010188853,
      "deflection": 0.011491181463378172,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_2297",
      "improvement_over_parent": null
    },
    "node_2299": {
      "node_id": "node_2299",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2298",
      "improvement_over_parent": null
    },
    "node_2300": {
      "node_id": "node_2300",
      "content": "INITIAL DESIGN (Trace 325)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_2301": {
      "node_id": "node_2301",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 215.42 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.4173093348299,
      "fos_buckling": 0.8456159073557221,
      "fos_yielding": 5.378435459938045,
      "deflection": 0.016362939112071144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_2300",
      "improvement_over_parent": null
    },
    "node_2302": {
      "node_id": "node_2302",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 234.68 kg\n  Factor of Safety: 0.84\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": 234.6835501557372,
      "fos_buckling": 0.8440717341195272,
      "fos_yielding": 5.044269465667218,
      "deflection": 0.013143101148536576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_2301",
      "improvement_over_parent": null
    },
    "node_2303": {
      "node_id": "node_2303",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47502584414164,
      "fos_buckling": 1.5345834237200608,
      "fos_yielding": 7.744424127234399,
      "deflection": 0.01148688040930253,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_2302",
      "improvement_over_parent": null
    },
    "node_2304": {
      "node_id": "node_2304",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 326)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n  Mass: 136.87 kg\n  Factor of Safety: 0.19\n  Max Deflection: 2.64e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.8685509034452,
      "fos_buckling": 0.19225113112463307,
      "fos_yielding": 2.784746623707995,
      "deflection": 0.026352409304555586,
      "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 all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n  Mass: 162.33 kg\n  Factor of Safety: 0.22\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": 162.32610883350162,
      "fos_buckling": 0.22467819530379185,
      "fos_yielding": 3.301003859664449,
      "deflection": 0.02228778073033006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_2305",
      "improvement_over_parent": null
    },
    "node_2307": {
      "node_id": "node_2307",
      "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n  Mass: 162.49 kg\n  Factor of Safety: 0.29\n  Max Deflection: 2.22e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.49418010200037,
      "fos_buckling": 0.29399396139484124,
      "fos_yielding": 4.498042986308617,
      "deflection": 0.022197631519184836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.475)"
      },
      "parent_node_id": "node_2306",
      "improvement_over_parent": null
    },
    "node_2308": {
      "node_id": "node_2308",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 176.95 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.95077265450448,
      "fos_buckling": 0.7443762554836809,
      "fos_yielding": 5.320637657030737,
      "deflection": 0.019493400967008374,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005127)"
      },
      "parent_node_id": "node_2307",
      "improvement_over_parent": null
    },
    "node_2309": {
      "node_id": "node_2309",
      "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 181.16 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.15853267406965,
      "fos_buckling": 0.7439192610844173,
      "fos_yielding": 5.317371161636971,
      "deflection": 0.018860324846359435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.280)"
      },
      "parent_node_id": "node_2308",
      "improvement_over_parent": null
    },
    "node_2310": {
      "node_id": "node_2310",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 196.12 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.11891167507994,
      "fos_buckling": 1.246784359979496,
      "fos_yielding": 6.012685236431095,
      "deflection": 0.014692554117200763,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005419)"
      },
      "parent_node_id": "node_2309",
      "improvement_over_parent": null
    },
    "node_2311": {
      "node_id": "node_2311",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.57625067983378,
      "fos_buckling": 1.5350117395117318,
      "fos_yielding": 7.7485544747667205,
      "deflection": 0.011482033697586623,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_2310",
      "improvement_over_parent": null
    },
    "node_2312": {
      "node_id": "node_2312",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2311",
      "improvement_over_parent": null
    },
    "node_2313": {
      "node_id": "node_2313",
      "content": "INITIAL DESIGN (Trace 327)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_2314": {
      "node_id": "node_2314",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n\nPerformance:\n  Mass: 136.12 kg\n  Factor of Safety: 0.29\n  Max Deflection: 2.72e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.120615132241,
      "fos_buckling": 0.2916832496258408,
      "fos_yielding": 3.2311037980438133,
      "deflection": 0.027228240068123997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003932)"
      },
      "parent_node_id": "node_2313",
      "improvement_over_parent": null
    },
    "node_2315": {
      "node_id": "node_2315",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n\nPerformance:\n  Mass: 175.53 kg\n  Factor of Safety: 0.36\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": 175.52920248544098,
      "fos_buckling": 0.3632323780570101,
      "fos_yielding": 4.173944309357969,
      "deflection": 0.021168009977480414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_2314",
      "improvement_over_parent": null
    },
    "node_2316": {
      "node_id": "node_2316",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 192.36 kg\n  Factor of Safety: 0.36\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": 192.36291866234092,
      "fos_buckling": 0.3626276152782989,
      "fos_yielding": 4.514861348091887,
      "deflection": 0.016358476058862207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006154)"
      },
      "parent_node_id": "node_2315",
      "improvement_over_parent": null
    },
    "node_2317": {
      "node_id": "node_2317",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 220.34 kg\n  Factor of Safety: 0.41\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": 220.3361555781704,
      "fos_buckling": 0.405745373020695,
      "fos_yielding": 5.172098324378669,
      "deflection": 0.014315670790079,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_2316",
      "improvement_over_parent": null
    },
    "node_2318": {
      "node_id": "node_2318",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 239.18 kg\n  Factor of Safety: 1.16\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": 239.1842035934826,
      "fos_buckling": 1.1623028648273475,
      "fos_yielding": 7.361345701693591,
      "deflection": 0.012398037987763946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_2317",
      "improvement_over_parent": null
    },
    "node_2319": {
      "node_id": "node_2319",
      "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0083)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 243.30 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.2954415969861,
      "fos_buckling": 1.1622061034175462,
      "fos_yielding": 7.377850539656011,
      "deflection": 0.012326253375012461,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.261)"
      },
      "parent_node_id": "node_2318",
      "improvement_over_parent": null
    },
    "node_2320": {
      "node_id": "node_2320",
      "content": "MODIFICATION: Increase 10 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0097)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0083)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 250.86 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.8607133835406,
      "fos_buckling": 1.1593015511475415,
      "fos_yielding": 7.156731463282258,
      "deflection": 0.012233318087524106,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.527)"
      },
      "parent_node_id": "node_2319",
      "improvement_over_parent": null
    },
    "node_2321": {
      "node_id": "node_2321",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2320",
      "improvement_over_parent": null
    },
    "node_2322": {
      "node_id": "node_2322",
      "content": "INITIAL DESIGN (Trace 328)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 183.56 kg\n  Factor of Safety: 0.73\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": 183.56440824083776,
      "fos_buckling": 0.7306288955765332,
      "fos_yielding": 4.273196840045045,
      "deflection": 0.01603453635413481,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2323": {
      "node_id": "node_2323",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n  Mass: 196.54 kg\n  Factor of Safety: 1.25\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": 196.54051741586431,
      "fos_buckling": 1.2490963161029762,
      "fos_yielding": 6.024939548364248,
      "deflection": 0.014662206392879898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004864)"
      },
      "parent_node_id": "node_2322",
      "improvement_over_parent": null
    },
    "node_2324": {
      "node_id": "node_2324",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n  Mass: 225.69 kg\n  Factor of Safety: 1.40\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": 225.6926248978269,
      "fos_buckling": 1.401669875944015,
      "fos_yielding": 6.920899554117607,
      "deflection": 0.012810881323695122,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_2323",
      "improvement_over_parent": null
    },
    "node_2325": {
      "node_id": "node_2325",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.39 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3939833068121,
      "fos_buckling": 1.5341860509153473,
      "fos_yielding": 7.742061977980692,
      "deflection": 0.011490439784653013,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_2324",
      "improvement_over_parent": null
    },
    "node_2326": {
      "node_id": "node_2326",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2325",
      "improvement_over_parent": null
    },
    "node_2327": {
      "node_id": "node_2327",
      "content": "INITIAL DESIGN (Trace 329)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 213.76 kg\n  Factor of Safety: 0.85\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": 213.75923011223367,
      "fos_buckling": 0.845672522101519,
      "fos_yielding": 6.817340035561261,
      "deflection": 0.020708158056843284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2328": {
      "node_id": "node_2328",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 237.05 kg\n  Factor of Safety: 0.84\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": 237.0450697143309,
      "fos_buckling": 0.8438066425882336,
      "fos_yielding": 5.299377646352829,
      "deflection": 0.019496420091376067,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_2327",
      "improvement_over_parent": null
    },
    "node_2329": {
      "node_id": "node_2329",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 251.77 kg\n  Factor of Safety: 1.50\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": 251.76957732298848,
      "fos_buckling": 1.497424670557146,
      "fos_yielding": 7.427514775785085,
      "deflection": 0.011521778295952745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_2328",
      "improvement_over_parent": null
    },
    "node_2330": {
      "node_id": "node_2330",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47389816990952,
      "fos_buckling": 1.5345787237976125,
      "fos_yielding": 7.744432235047082,
      "deflection": 0.011486909647320997,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_2329",
      "improvement_over_parent": null
    },
    "node_2331": {
      "node_id": "node_2331",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2330",
      "improvement_over_parent": null
    },
    "node_2332": {
      "node_id": "node_2332",
      "content": "INITIAL DESIGN (Trace 330)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n  Mass: 220.32 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.32162303143073,
      "fos_buckling": 1.2479263235469227,
      "fos_yielding": 6.70210210719823,
      "deflection": 0.01340393061708707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2333": {
      "node_id": "node_2333",
      "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n  Mass: 226.52 kg\n  Factor of Safety: 1.38\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": 226.52281954893337,
      "fos_buckling": 1.3827643088171468,
      "fos_yielding": 7.2162210946104475,
      "deflection": 0.012758998253337208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.475)"
      },
      "parent_node_id": "node_2332",
      "improvement_over_parent": null
    },
    "node_2334": {
      "node_id": "node_2334",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.43 kg\n  Factor of Safety: 1.49\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": 249.42877179353485,
      "fos_buckling": 1.494726933743513,
      "fos_yielding": 7.945835898718885,
      "deflection": 0.011617449149845702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_2333",
      "improvement_over_parent": null
    },
    "node_2335": {
      "node_id": "node_2335",
      "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.37 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.36980767988058,
      "fos_buckling": 1.5342197776704245,
      "fos_yielding": 7.74133370154204,
      "deflection": 0.011491654645345177,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.198)"
      },
      "parent_node_id": "node_2334",
      "improvement_over_parent": null
    },
    "node_2336": {
      "node_id": "node_2336",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 331)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 134.28 kg\n  Factor of Safety: 0.47\n  Max Deflection: 3.20e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.28029784739002,
      "fos_buckling": 0.46899835432244813,
      "fos_yielding": 0.9966984792129544,
      "deflection": 0.032005116075015126,
      "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 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 158.34 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.72e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.33518269061642,
      "fos_buckling": 0.5457472290266066,
      "fos_yielding": 1.175826783033611,
      "deflection": 0.027192608959214222,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_2337",
      "improvement_over_parent": null
    },
    "node_2339": {
      "node_id": "node_2339",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n  Mass: 160.08 kg\n  Factor of Safety: 0.62\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": 160.0756333265264,
      "fos_buckling": 0.618294579582322,
      "fos_yielding": 2.600216960646059,
      "deflection": 0.019304123562922004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002695)"
      },
      "parent_node_id": "node_2338",
      "improvement_over_parent": null
    },
    "node_2340": {
      "node_id": "node_2340",
      "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n  Mass: 160.61 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.60832662317017,
      "fos_buckling": 0.618294579582322,
      "fos_yielding": 2.600216960646059,
      "deflection": 0.019304123562922004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.522)"
      },
      "parent_node_id": "node_2339",
      "improvement_over_parent": null
    },
    "node_2341": {
      "node_id": "node_2341",
      "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n  Mass: 163.07 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.06940444398302,
      "fos_buckling": 0.6180021574643391,
      "fos_yielding": 2.597420684522529,
      "deflection": 0.019308572844359103,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.218)"
      },
      "parent_node_id": "node_2340",
      "improvement_over_parent": null
    },
    "node_2342": {
      "node_id": "node_2342",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n  Mass: 192.32 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.31628001692965,
      "fos_buckling": 0.7098505748892936,
      "fos_yielding": 3.0553773843451424,
      "deflection": 0.01642647282794571,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_2341",
      "improvement_over_parent": null
    },
    "node_2343": {
      "node_id": "node_2343",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0080)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 238.50 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.49721933348846,
      "fos_buckling": 0.8436158039951821,
      "fos_yielding": 3.7749796501497204,
      "deflection": 0.013314493844448765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_2342",
      "improvement_over_parent": null
    },
    "node_2344": {
      "node_id": "node_2344",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0080)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 253.22 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.22172694214603,
      "fos_buckling": 1.4243631870158482,
      "fos_yielding": 7.5882277030927066,
      "deflection": 0.011490771839114573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_2343",
      "improvement_over_parent": null
    },
    "node_2345": {
      "node_id": "node_2345",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 332)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n  Mass: 159.19 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.88e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.19087087746428,
      "fos_buckling": 0.2179291365827419,
      "fos_yielding": 1.6949155087519892,
      "deflection": 18753414341514.53,
      "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 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n  Mass: 181.07 kg\n  Factor of Safety: 0.15\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": 181.07383904207512,
      "fos_buckling": 0.145236203071566,
      "fos_yielding": 2.259111350397967,
      "deflection": 0.018725391551279166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007004)"
      },
      "parent_node_id": "node_2346",
      "improvement_over_parent": null
    },
    "node_2348": {
      "node_id": "node_2348",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n  Mass: 197.49 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.49029668497005,
      "fos_buckling": 0.39601649321149524,
      "fos_yielding": 5.111299835817766,
      "deflection": 0.015915286300941273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005838)"
      },
      "parent_node_id": "node_2347",
      "improvement_over_parent": null
    },
    "node_2349": {
      "node_id": "node_2349",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 213.70 kg\n  Factor of Safety: 1.13\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": 213.70454467284233,
      "fos_buckling": 1.1285554108361466,
      "fos_yielding": 7.30177628264775,
      "deflection": 0.013572511179882351,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005802)"
      },
      "parent_node_id": "node_2348",
      "improvement_over_parent": null
    },
    "node_2350": {
      "node_id": "node_2350",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 245.47 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.4733407998056,
      "fos_buckling": 1.2779125127054736,
      "fos_yielding": 8.382957358623914,
      "deflection": 0.0118571019316895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_2349",
      "improvement_over_parent": null
    },
    "node_2351": {
      "node_id": "node_2351",
      "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.52993297687783,
      "fos_buckling": 1.5347425091507603,
      "fos_yielding": 7.747366188106198,
      "deflection": 0.011484305698456649,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.634)"
      },
      "parent_node_id": "node_2350",
      "improvement_over_parent": null
    },
    "node_2352": {
      "node_id": "node_2352",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2351",
      "improvement_over_parent": null
    },
    "node_2353": {
      "node_id": "node_2353",
      "content": "INITIAL DESIGN (Trace 333)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2354": {
      "node_id": "node_2354",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n  Mass: 147.30 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.2974778091976,
      "fos_buckling": 0.582281577297147,
      "fos_yielding": 3.2165967381542484,
      "deflection": 0.02124324917633891,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004061)"
      },
      "parent_node_id": "node_2353",
      "improvement_over_parent": null
    },
    "node_2355": {
      "node_id": "node_2355",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 192.75 kg\n  Factor of Safety: 0.73\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": 192.75350773154426,
      "fos_buckling": 0.730040937445906,
      "fos_yielding": 4.173450051693274,
      "deflection": 0.016321160375210073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_2354",
      "improvement_over_parent": null
    },
    "node_2356": {
      "node_id": "node_2356",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 231.45 kg\n  Factor of Safety: 0.84\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": 231.44772137470517,
      "fos_buckling": 0.844491188375162,
      "fos_yielding": 4.975144943541486,
      "deflection": 0.01365438796031287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_2355",
      "improvement_over_parent": null
    },
    "node_2357": {
      "node_id": "node_2357",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 246.17 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.20e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 246.17222898336274,
      "fos_buckling": 1.5111972028420682,
      "fos_yielding": 7.24124024117208,
      "deflection": 0.011992401444293352,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_2356",
      "improvement_over_parent": null
    },
    "node_2358": {
      "node_id": "node_2358",
      "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.6121747874351,
      "fos_buckling": 1.535362535150499,
      "fos_yielding": 7.748836882733063,
      "deflection": 0.01148067913082092,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.441)"
      },
      "parent_node_id": "node_2357",
      "improvement_over_parent": null
    },
    "node_2359": {
      "node_id": "node_2359",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2358",
      "improvement_over_parent": null
    },
    "node_2360": {
      "node_id": "node_2360",
      "content": "INITIAL DESIGN (Trace 334)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 234.35 kg\n  Factor of Safety: 1.14\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": 234.35357048849522,
      "fos_buckling": 1.1356560587912825,
      "fos_yielding": 7.0801471936042555,
      "deflection": 0.012277162091872977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2361": {
      "node_id": "node_2361",
      "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 239.62 kg\n  Factor of Safety: 1.20\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": 239.6152282667347,
      "fos_buckling": 1.1961707660185519,
      "fos_yielding": 6.913778595017037,
      "deflection": 0.012114621215430223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.506)"
      },
      "parent_node_id": "node_2360",
      "improvement_over_parent": null
    },
    "node_2362": {
      "node_id": "node_2362",
      "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 240.10 kg\n  Factor of Safety: 1.40\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": 240.10239915407047,
      "fos_buckling": 1.3968946924229866,
      "fos_yielding": 6.9542234956955005,
      "deflection": 0.012069826324513184,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.464)"
      },
      "parent_node_id": "node_2361",
      "improvement_over_parent": null
    },
    "node_2363": {
      "node_id": "node_2363",
      "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 242.57 kg\n  Factor of Safety: 1.40\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": 242.56546971815126,
      "fos_buckling": 1.396163316903791,
      "fos_yielding": 6.8893333570895345,
      "deflection": 0.012009240367454974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.209)"
      },
      "parent_node_id": "node_2362",
      "improvement_over_parent": null
    },
    "node_2364": {
      "node_id": "node_2364",
      "content": "MODIFICATION: Increase 10 thickness by 67%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.38 kg\n  Factor of Safety: 1.48\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": 251.38169012607588,
      "fos_buckling": 1.4766199433475704,
      "fos_yielding": 6.320618072828993,
      "deflection": 0.011591923945495644,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.667)"
      },
      "parent_node_id": "node_2363",
      "improvement_over_parent": null
    },
    "node_2365": {
      "node_id": "node_2365",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.09 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.08601097299692,
      "fos_buckling": 1.521912398665442,
      "fos_yielding": 6.611712160832605,
      "deflection": 0.011551142556723296,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_2364",
      "improvement_over_parent": null
    },
    "node_2366": {
      "node_id": "node_2366",
      "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49140245396444,
      "fos_buckling": 1.5348059182566667,
      "fos_yielding": 7.742839949231319,
      "deflection": 0.011486291630043978,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.208)"
      },
      "parent_node_id": "node_2365",
      "improvement_over_parent": null
    },
    "node_2367": {
      "node_id": "node_2367",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 335)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 123.34 kg\n  Factor of Safety: 0.54\n  Max Deflection: 3.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.33776523737167,
      "fos_buckling": 0.5427789266861609,
      "fos_yielding": 1.5540361718290938,
      "deflection": 0.030340626277128472,
      "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 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n\nPerformance:\n  Mass: 133.77 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.69e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.7736814251662,
      "fos_buckling": 0.5786902196322737,
      "fos_yielding": 3.3312941304058663,
      "deflection": 0.026911640422936887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003721)"
      },
      "parent_node_id": "node_2368",
      "improvement_over_parent": null
    },
    "node_2370": {
      "node_id": "node_2370",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n\nPerformance:\n  Mass: 171.98 kg\n  Factor of Safety: 0.73\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": 171.97500509138914,
      "fos_buckling": 0.7258264513020725,
      "fos_yielding": 4.312381456328107,
      "deflection": 0.02100572052424941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_2369",
      "improvement_over_parent": null
    },
    "node_2371": {
      "node_id": "node_2371",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n  Mass: 191.91 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.90769632804452,
      "fos_buckling": 0.7960902789447354,
      "fos_yielding": 4.829732398688176,
      "deflection": 0.018857713244929797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_2370",
      "improvement_over_parent": null
    },
    "node_2372": {
      "node_id": "node_2372",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 227.94 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.94328433175414,
      "fos_buckling": 0.9159800638454655,
      "fos_yielding": 5.774664636157816,
      "deflection": 0.01592804088788742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_2371",
      "improvement_over_parent": null
    },
    "node_2373": {
      "node_id": "node_2373",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 230.49 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.4892764928163,
      "fos_buckling": 0.9155285820064746,
      "fos_yielding": 6.80636308848061,
      "deflection": 0.0148068611739522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_2372",
      "improvement_over_parent": null
    },
    "node_2374": {
      "node_id": "node_2374",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 249.76 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 249.7555173137236,
      "fos_buckling": 1.5211496332554209,
      "fos_yielding": 7.870693919132515,
      "deflection": 0.01154544353454494,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_2373",
      "improvement_over_parent": null
    },
    "node_2375": {
      "node_id": "node_2375",
      "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0081)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 253.01 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.005066149642,
      "fos_buckling": 1.5277418334800625,
      "fos_yielding": 7.855991462987088,
      "deflection": 0.011478728786074288,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.196)"
      },
      "parent_node_id": "node_2374",
      "improvement_over_parent": null
    },
    "node_2376": {
      "node_id": "node_2376",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2375",
      "improvement_over_parent": null
    },
    "node_2377": {
      "node_id": "node_2377",
      "content": "INITIAL DESIGN (Trace 336)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2378": {
      "node_id": "node_2378",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n\nPerformance:\n  Mass: 159.62 kg\n  Factor of Safety: 0.32\n  Max Deflection: 2.24e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.6245292754301,
      "fos_buckling": 0.32367277965438607,
      "fos_yielding": 4.3978126602581415,
      "deflection": 0.02243814407912843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005476)"
      },
      "parent_node_id": "node_2377",
      "improvement_over_parent": null
    },
    "node_2379": {
      "node_id": "node_2379",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 173.47 kg\n  Factor of Safety: 0.72\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": 173.4718301720052,
      "fos_buckling": 0.7169773334702253,
      "fos_yielding": 5.095676683343086,
      "deflection": 0.01967939389141354,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004896)"
      },
      "parent_node_id": "node_2378",
      "improvement_over_parent": null
    },
    "node_2380": {
      "node_id": "node_2380",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n  Mass: 187.80 kg\n  Factor of Safety: 1.20\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": 187.80208434342316,
      "fos_buckling": 1.2017464585997522,
      "fos_yielding": 5.756386569251088,
      "deflection": 0.015329159245748446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005175)"
      },
      "parent_node_id": "node_2379",
      "improvement_over_parent": null
    },
    "node_2381": {
      "node_id": "node_2381",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 207.85 kg\n  Factor of Safety: 1.31\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": 207.8491679085376,
      "fos_buckling": 1.3092652436060206,
      "fos_yielding": 6.372316090247095,
      "deflection": 0.013882433515323145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_2380",
      "improvement_over_parent": null
    },
    "node_2382": {
      "node_id": "node_2382",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.51744637575345,
      "fos_buckling": 1.534783477101761,
      "fos_yielding": 7.745726335711462,
      "deflection": 0.011485018372544665,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_2381",
      "improvement_over_parent": null
    },
    "node_2383": {
      "node_id": "node_2383",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2382",
      "improvement_over_parent": null
    },
    "node_2384": {
      "node_id": "node_2384",
      "content": "INITIAL DESIGN (Trace 337)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 239.59 kg\n  Factor of Safety: 1.29\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": 239.5863931060692,
      "fos_buckling": 1.2916862348264588,
      "fos_yielding": 5.441823742860306,
      "deflection": 0.012468977164253622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2385": {
      "node_id": "node_2385",
      "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 243.59 kg\n  Factor of Safety: 1.29\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": 243.5897038911278,
      "fos_buckling": 1.2871532411481579,
      "fos_yielding": 5.422726417240724,
      "deflection": 0.012341107749791575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.385)"
      },
      "parent_node_id": "node_2384",
      "improvement_over_parent": null
    },
    "node_2386": {
      "node_id": "node_2386",
      "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 244.23 kg\n  Factor of Safety: 1.45\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": 244.22944729039273,
      "fos_buckling": 1.4543801741507767,
      "fos_yielding": 7.0563599966650346,
      "deflection": 0.012204267069908558,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.368)"
      },
      "parent_node_id": "node_2385",
      "improvement_over_parent": null
    },
    "node_2387": {
      "node_id": "node_2387",
      "content": "MODIFICATION: Increase 0 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47958579743784,
      "fos_buckling": 1.5346517192160931,
      "fos_yielding": 7.748122669812068,
      "deflection": 0.011486741058498763,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.637)"
      },
      "parent_node_id": "node_2386",
      "improvement_over_parent": null
    },
    "node_2388": {
      "node_id": "node_2388",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2387",
      "improvement_over_parent": null
    },
    "node_2389": {
      "node_id": "node_2389",
      "content": "INITIAL DESIGN (Trace 338)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 184.05 kg\n  Factor of Safety: 0.78\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": 184.05200573187003,
      "fos_buckling": 0.7756555476155333,
      "fos_yielding": 5.58198170232346,
      "deflection": 0.01809539300935753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2390": {
      "node_id": "node_2390",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 225.68 kg\n  Factor of Safety: 0.92\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": 225.6791665281207,
      "fos_buckling": 0.9163792809378554,
      "fos_yielding": 6.81382132123793,
      "deflection": 0.014830419492571988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_2389",
      "improvement_over_parent": null
    },
    "node_2391": {
      "node_id": "node_2391",
      "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 229.20 kg\n  Factor of Safety: 0.92\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": 229.19660210955058,
      "fos_buckling": 0.9162232756396498,
      "fos_yielding": 6.812661329682847,
      "deflection": 0.014731900348961014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.256)"
      },
      "parent_node_id": "node_2390",
      "improvement_over_parent": null
    },
    "node_2392": {
      "node_id": "node_2392",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.48244171164782,
      "fos_buckling": 1.5346726032511417,
      "fos_yielding": 7.745386933289034,
      "deflection": 0.011486235707862443,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_2391",
      "improvement_over_parent": null
    },
    "node_2393": {
      "node_id": "node_2393",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2392",
      "improvement_over_parent": null
    },
    "node_2394": {
      "node_id": "node_2394",
      "content": "INITIAL DESIGN (Trace 339)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 154.80 kg\n  Factor of Safety: 0.91\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": 154.8026395558607,
      "fos_buckling": 0.9085591427751265,
      "fos_yielding": 4.075810712165261,
      "deflection": 0.01851942563561539,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2395": {
      "node_id": "node_2395",
      "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 155.04 kg\n  Factor of Safety: 0.92\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": 155.0418136204102,
      "fos_buckling": 0.9234359987831376,
      "fos_yielding": 4.079088170888173,
      "deflection": 0.01847363039394849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.321)"
      },
      "parent_node_id": "node_2394",
      "improvement_over_parent": null
    },
    "node_2396": {
      "node_id": "node_2396",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 189.56 kg\n  Factor of Safety: 1.10\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": 189.56015031182204,
      "fos_buckling": 1.1032635732574736,
      "fos_yielding": 4.998991040268143,
      "deflection": 0.015169521784991851,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_2395",
      "improvement_over_parent": null
    },
    "node_2397": {
      "node_id": "node_2397",
      "content": "MODIFICATION: Increase 15 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 192.63 kg\n  Factor of Safety: 1.21\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": 192.63418224174677,
      "fos_buckling": 1.2064211981437816,
      "fos_yielding": 4.982607017872792,
      "deflection": 0.015020528242799725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.295)"
      },
      "parent_node_id": "node_2396",
      "improvement_over_parent": null
    },
    "node_2398": {
      "node_id": "node_2398",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 226.70 kg\n  Factor of Safety: 1.40\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.6974615998276,
      "fos_buckling": 1.395984010037531,
      "fos_yielding": 5.878913029406782,
      "deflection": 0.012812035723513002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2397",
      "improvement_over_parent": null
    },
    "node_2399": {
      "node_id": "node_2399",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.28 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.27914318269387,
      "fos_buckling": 1.5219826181775584,
      "fos_yielding": 6.555590094539329,
      "deflection": 0.011545555861954238,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2398",
      "improvement_over_parent": null
    },
    "node_2400": {
      "node_id": "node_2400",
      "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.71 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.70763284682693,
      "fos_buckling": 1.5357232052940417,
      "fos_yielding": 7.751344904104453,
      "deflection": 0.01147649100291134,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.222)"
      },
      "parent_node_id": "node_2399",
      "improvement_over_parent": null
    },
    "node_2401": {
      "node_id": "node_2401",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2400",
      "improvement_over_parent": null
    },
    "node_2402": {
      "node_id": "node_2402",
      "content": "INITIAL DESIGN (Trace 340)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 125.94 kg\n  Factor of Safety: 0.27\n  Max Deflection: 4.28e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.94030582837377,
      "fos_buckling": 0.26775684034111735,
      "fos_yielding": 1.057590738856322,
      "deflection": 0.04284257161270788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2403": {
      "node_id": "node_2403",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 155.84 kg\n  Factor of Safety: 0.32\n  Max Deflection: 3.48e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.83597823242778,
      "fos_buckling": 0.32309762980002077,
      "fos_yielding": 1.3032251459110888,
      "deflection": 0.03475480152231941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_2402",
      "improvement_over_parent": null
    },
    "node_2404": {
      "node_id": "node_2404",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 156.07 kg\n  Factor of Safety: 0.32\n  Max Deflection: 3.47e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.06575161192242,
      "fos_buckling": 0.3230976298000209,
      "fos_yielding": 1.3032251459110904,
      "deflection": 0.03468697196678254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.198)"
      },
      "parent_node_id": "node_2403",
      "improvement_over_parent": null
    },
    "node_2405": {
      "node_id": "node_2405",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0026)]\n\nPerformance:\n  Mass: 164.51 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.510160239855,
      "fos_buckling": 0.6985766723974179,
      "fos_yielding": 4.12949281544202,
      "deflection": 0.01891025247015469,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.002577)"
      },
      "parent_node_id": "node_2404",
      "improvement_over_parent": null
    },
    "node_2406": {
      "node_id": "node_2406",
      "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0057)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0026)]\n\nPerformance:\n  Mass: 167.91 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.91256777877848,
      "fos_buckling": 0.7001978783631239,
      "fos_yielding": 4.139076242218581,
      "deflection": 0.018772839383045796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.366)"
      },
      "parent_node_id": "node_2405",
      "improvement_over_parent": null
    },
    "node_2407": {
      "node_id": "node_2407",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0075)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n\nPerformance:\n  Mass: 217.91 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.91037231492686,
      "fos_buckling": 0.8943619960433747,
      "fos_yielding": 5.377498254786951,
      "deflection": 0.014517076744928614,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_2406",
      "improvement_over_parent": null
    },
    "node_2408": {
      "node_id": "node_2408",
      "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0116)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n\nPerformance:\n  Mass: 225.71 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.7060989826341,
      "fos_buckling": 0.8961506793442039,
      "fos_yielding": 5.388253006633661,
      "deflection": 0.014412411224337188,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.541)"
      },
      "parent_node_id": "node_2407",
      "improvement_over_parent": null
    },
    "node_2409": {
      "node_id": "node_2409",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0131)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n\nPerformance:\n  Mass: 253.31 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.30815692315124,
      "fos_buckling": 0.9982615837067403,
      "fos_yielding": 6.059275216772997,
      "deflection": 0.012852096059688038,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_2408",
      "improvement_over_parent": null
    },
    "node_2410": {
      "node_id": "node_2410",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2409",
      "improvement_over_parent": null
    },
    "node_2411": {
      "node_id": "node_2411",
      "content": "INITIAL DESIGN (Trace 341)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 149.86 kg\n  Factor of Safety: 0.63\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": 149.86055779413934,
      "fos_buckling": 0.633856969570189,
      "fos_yielding": 3.526052221634317,
      "deflection": 0.019955024815630405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2412": {
      "node_id": "node_2412",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 166.60 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.60269120147692,
      "fos_buckling": 0.6955912028130904,
      "fos_yielding": 3.92166009703412,
      "deflection": 0.017977482651129403,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_2411",
      "improvement_over_parent": null
    },
    "node_2413": {
      "node_id": "node_2413",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 188.75 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.74962221716328,
      "fos_buckling": 0.774462311434544,
      "fos_yielding": 4.446074974800674,
      "deflection": 0.015900395379637097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_2412",
      "improvement_over_parent": null
    },
    "node_2414": {
      "node_id": "node_2414",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 227.02 kg\n  Factor of Safety: 0.90\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": 227.01512323662763,
      "fos_buckling": 0.9032535320965862,
      "fos_yielding": 5.355870228964418,
      "deflection": 0.013266353210008306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_2413",
      "improvement_over_parent": null
    },
    "node_2415": {
      "node_id": "node_2415",
      "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 235.20 kg\n  Factor of Safety: 0.90\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": 235.1969523331935,
      "fos_buckling": 0.9025234101122812,
      "fos_yielding": 5.478871088153364,
      "deflection": 0.01265310650969773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.473)"
      },
      "parent_node_id": "node_2414",
      "improvement_over_parent": null
    },
    "node_2416": {
      "node_id": "node_2416",
      "content": "MODIFICATION: Increase 6 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 235.99 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.99233683725328,
      "fos_buckling": 0.9025234101122802,
      "fos_yielding": 5.47887108815336,
      "deflection": 0.012539706407911563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.653)"
      },
      "parent_node_id": "node_2415",
      "improvement_over_parent": null
    },
    "node_2417": {
      "node_id": "node_2417",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.66262064351037,
      "fos_buckling": 1.5354277533931737,
      "fos_yielding": 7.751036944149854,
      "deflection": 0.01147828333392754,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2416",
      "improvement_over_parent": null
    },
    "node_2418": {
      "node_id": "node_2418",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2417",
      "improvement_over_parent": null
    },
    "node_2419": {
      "node_id": "node_2419",
      "content": "INITIAL DESIGN (Trace 342)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 231.45 kg\n  Factor of Safety: 1.20\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": 231.44886224958904,
      "fos_buckling": 1.2013243239975826,
      "fos_yielding": 7.41404839018423,
      "deflection": 0.012548213525395986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2420": {
      "node_id": "node_2420",
      "content": "MODIFICATION: Increase 12 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 237.42 kg\n  Factor of Safety: 1.20\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": 237.42423716545366,
      "fos_buckling": 1.1976484457613654,
      "fos_yielding": 7.107627051714792,
      "deflection": 0.012414487320163169,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.613)"
      },
      "parent_node_id": "node_2419",
      "improvement_over_parent": null
    },
    "node_2421": {
      "node_id": "node_2421",
      "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 246.68 kg\n  Factor of Safety: 1.46\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": 246.67857013293147,
      "fos_buckling": 1.4622065827393267,
      "fos_yielding": 7.794701808867186,
      "deflection": 0.011699766281189572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.567)"
      },
      "parent_node_id": "node_2420",
      "improvement_over_parent": null
    },
    "node_2422": {
      "node_id": "node_2422",
      "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47126133283814,
      "fos_buckling": 1.5349993463255838,
      "fos_yielding": 7.745607069620631,
      "deflection": 0.011486537538235055,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.661)"
      },
      "parent_node_id": "node_2421",
      "improvement_over_parent": null
    },
    "node_2423": {
      "node_id": "node_2423",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2422",
      "improvement_over_parent": null
    },
    "node_2424": {
      "node_id": "node_2424",
      "content": "INITIAL DESIGN (Trace 343)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 221.62 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.69e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.62468399998983,
      "fos_buckling": 0.44282756576138477,
      "fos_yielding": 1.365951198911017,
      "deflection": 0.026870927261604872,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2425": {
      "node_id": "node_2425",
      "content": "MODIFICATION: Increase 11 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 227.13 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.51e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.13051112336248,
      "fos_buckling": 0.44247305278015,
      "fos_yielding": 1.3651928087073266,
      "deflection": 0.025104158358380927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.541)"
      },
      "parent_node_id": "node_2424",
      "improvement_over_parent": null
    },
    "node_2426": {
      "node_id": "node_2426",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.25 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.25265277520933,
      "fos_buckling": 1.5343012313114497,
      "fos_yielding": 7.714355019649141,
      "deflection": 0.011489902955585114,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_2425",
      "improvement_over_parent": null
    },
    "node_2427": {
      "node_id": "node_2427",
      "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.95 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.9512592358389,
      "fos_buckling": 1.5343853142441386,
      "fos_yielding": 7.722800386121968,
      "deflection": 0.01146336394612703,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.493)"
      },
      "parent_node_id": "node_2426",
      "improvement_over_parent": null
    },
    "node_2428": {
      "node_id": "node_2428",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2427",
      "improvement_over_parent": null
    },
    "node_2429": {
      "node_id": "node_2429",
      "content": "INITIAL DESIGN (Trace 344)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 193.27 kg\n  Factor of Safety: 0.04\n  Max Deflection: 8.03e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.27348072378277,
      "fos_buckling": 0.03573607056149891,
      "fos_yielding": 0.05296610964849966,
      "deflection": 803035632259722.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2430": {
      "node_id": "node_2430",
      "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 193.67 kg\n  Factor of Safety: 0.04\n  Max Deflection: 8.03e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.6726866134748,
      "fos_buckling": 0.03573607056149891,
      "fos_yielding": 0.05296610964849966,
      "deflection": 803035632259722.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.353)"
      },
      "parent_node_id": "node_2429",
      "improvement_over_parent": null
    },
    "node_2431": {
      "node_id": "node_2431",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 210.34 kg\n  Factor of Safety: 0.41\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": 210.3429704197319,
      "fos_buckling": 0.40613108041388213,
      "fos_yielding": 6.464165915508938,
      "deflection": 0.01641833823171858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2430",
      "improvement_over_parent": null
    },
    "node_2432": {
      "node_id": "node_2432",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 233.63 kg\n  Factor of Safety: 0.41\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": 233.62881002182914,
      "fos_buckling": 0.4051972035440668,
      "fos_yielding": 5.374937087411102,
      "deflection": 0.013391249795413663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_2431",
      "improvement_over_parent": null
    },
    "node_2433": {
      "node_id": "node_2433",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n  Mass: 248.26 kg\n  Factor of Safety: 1.37\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": 248.25825070848478,
      "fos_buckling": 1.3711087625056222,
      "fos_yielding": 7.5151735917485905,
      "deflection": 0.011614331964961899,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005156)"
      },
      "parent_node_id": "node_2432",
      "improvement_over_parent": null
    },
    "node_2434": {
      "node_id": "node_2434",
      "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0084)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n  Mass: 252.90 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.89578494520055,
      "fos_buckling": 1.452316499186247,
      "fos_yielding": 7.35512915697779,
      "deflection": 0.01153377493293245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.316)"
      },
      "parent_node_id": "node_2433",
      "improvement_over_parent": null
    },
    "node_2435": {
      "node_id": "node_2435",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2434",
      "improvement_over_parent": null
    },
    "node_2436": {
      "node_id": "node_2436",
      "content": "INITIAL DESIGN (Trace 345)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 188.46 kg\n  Factor of Safety: 0.31\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": 188.45568396151594,
      "fos_buckling": 0.3080171759291633,
      "fos_yielding": 4.387578105289936,
      "deflection": 0.01651033494192446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2437": {
      "node_id": "node_2437",
      "content": "MODIFICATION: Increase 14 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 193.79 kg\n  Factor of Safety: 0.35\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": 193.78530832183728,
      "fos_buckling": 0.3533698558661568,
      "fos_yielding": 4.388217802048959,
      "deflection": 0.016208048573245905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.550)"
      },
      "parent_node_id": "node_2436",
      "improvement_over_parent": null
    },
    "node_2438": {
      "node_id": "node_2438",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 228.43 kg\n  Factor of Safety: 0.41\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": 228.43314926207051,
      "fos_buckling": 0.4051901475555303,
      "fos_yielding": 5.175468944955034,
      "deflection": 0.013792820485934556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_2437",
      "improvement_over_parent": null
    },
    "node_2439": {
      "node_id": "node_2439",
      "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.48 kg\n  Factor of Safety: 0.40\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": 233.48289029903788,
      "fos_buckling": 0.4049880968221417,
      "fos_yielding": 5.371656344713393,
      "deflection": 0.013399383778099589,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.319)"
      },
      "parent_node_id": "node_2438",
      "improvement_over_parent": null
    },
    "node_2440": {
      "node_id": "node_2440",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.33 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.33093831435008,
      "fos_buckling": 1.534190022183039,
      "fos_yielding": 7.73994036346148,
      "deflection": 0.011493566849013283,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_2439",
      "improvement_over_parent": null
    },
    "node_2441": {
      "node_id": "node_2441",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2440",
      "improvement_over_parent": null
    },
    "node_2442": {
      "node_id": "node_2442",
      "content": "INITIAL DESIGN (Trace 346)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0023)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 148.85 kg\n  Factor of Safety: 0.59\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": 148.85373935440853,
      "fos_buckling": 0.5935136142301565,
      "fos_yielding": 3.32233000602509,
      "deflection": 0.01997674620865509,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2443": {
      "node_id": "node_2443",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 183.26 kg\n  Factor of Safety: 0.71\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": 183.25984959320033,
      "fos_buckling": 0.7073333387102149,
      "fos_yielding": 4.0679225349814745,
      "deflection": 0.016300692519535424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_2442",
      "improvement_over_parent": null
    },
    "node_2444": {
      "node_id": "node_2444",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n  Mass: 197.52 kg\n  Factor of Safety: 0.98\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": 197.52196991681583,
      "fos_buckling": 0.9779386951818053,
      "fos_yielding": 6.1618953802252525,
      "deflection": 0.01450241801203313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005186)"
      },
      "parent_node_id": "node_2443",
      "improvement_over_parent": null
    },
    "node_2445": {
      "node_id": "node_2445",
      "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n  Mass: 200.42 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.42437773159745,
      "fos_buckling": 1.2193590619276204,
      "fos_yielding": 6.189742098582156,
      "deflection": 0.01432915141562017,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.439)"
      },
      "parent_node_id": "node_2444",
      "improvement_over_parent": null
    },
    "node_2446": {
      "node_id": "node_2446",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n  Mass: 202.32 kg\n  Factor of Safety: 1.28\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": 202.31513802278462,
      "fos_buckling": 1.2799361998585557,
      "fos_yielding": 6.202167109181367,
      "deflection": 0.014253384771849353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.205)"
      },
      "parent_node_id": "node_2445",
      "improvement_over_parent": null
    },
    "node_2447": {
      "node_id": "node_2447",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.44 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.43835185569264,
      "fos_buckling": 1.5343554926095329,
      "fos_yielding": 7.743180432355618,
      "deflection": 0.011488692944470755,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_2446",
      "improvement_over_parent": null
    },
    "node_2448": {
      "node_id": "node_2448",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2447",
      "improvement_over_parent": null
    },
    "node_2449": {
      "node_id": "node_2449",
      "content": "INITIAL DESIGN (Trace 347)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 140.73 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.71e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.7275822784708,
      "fos_buckling": 0.6417841094134693,
      "fos_yielding": 3.389831017503978,
      "deflection": 17137125866194.594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2450": {
      "node_id": "node_2450",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 167.01 kg\n  Factor of Safety: 0.24\n  Max Deflection: 3.41e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.01368273055266,
      "fos_buckling": 0.2423320525630661,
      "fos_yielding": 2.635645408909019,
      "deflection": 34121426765788.586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_2449",
      "improvement_over_parent": null
    },
    "node_2451": {
      "node_id": "node_2451",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 188.97 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.97e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.96504106148996,
      "fos_buckling": 0.6287551023660146,
      "fos_yielding": 1.6949155087519892,
      "deflection": 19743127979800.258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_2450",
      "improvement_over_parent": null
    },
    "node_2452": {
      "node_id": "node_2452",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 214.09 kg\n  Factor of Safety: 0.85\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": 214.0871827133368,
      "fos_buckling": 0.8484064992553335,
      "fos_yielding": 1.7714139917510334,
      "deflection": 0.015301870184014046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_2451",
      "improvement_over_parent": null
    },
    "node_2453": {
      "node_id": "node_2453",
      "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 214.79 kg\n  Factor of Safety: 0.85\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": 214.78863576925232,
      "fos_buckling": 0.8484064992553334,
      "fos_yielding": 1.7714139917510334,
      "deflection": 0.015301870184014042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.495)"
      },
      "parent_node_id": "node_2452",
      "improvement_over_parent": null
    },
    "node_2454": {
      "node_id": "node_2454",
      "content": "MODIFICATION: Increase 10 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0099)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 222.25 kg\n  Factor of Safety: 0.85\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": 222.2472004640161,
      "fos_buckling": 0.846602209435462,
      "fos_yielding": 1.767598645225137,
      "deflection": 0.014882459603351363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.456)"
      },
      "parent_node_id": "node_2453",
      "improvement_over_parent": null
    },
    "node_2455": {
      "node_id": "node_2455",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0099)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 236.97 kg\n  Factor of Safety: 1.17\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.97170807267366,
      "fos_buckling": 1.1699190601158933,
      "fos_yielding": 4.034084291041061,
      "deflection": 0.012490941084449727,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_2454",
      "improvement_over_parent": null
    },
    "node_2456": {
      "node_id": "node_2456",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0099)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 253.64 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.64199187893075,
      "fos_buckling": 1.4424078101136537,
      "fos_yielding": 8.521981653732418,
      "deflection": 0.011631599727748847,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2455",
      "improvement_over_parent": null
    },
    "node_2457": {
      "node_id": "node_2457",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2456",
      "improvement_over_parent": null
    },
    "node_2458": {
      "node_id": "node_2458",
      "content": "INITIAL DESIGN (Trace 348)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 156.89 kg\n  Factor of Safety: 0.85\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": 156.88581758105116,
      "fos_buckling": 0.8462500722332205,
      "fos_yielding": 4.6995937989421135,
      "deflection": 0.018177242736983883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2459": {
      "node_id": "node_2459",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 202.43 kg\n  Factor of Safety: 1.07\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": 202.4265493852411,
      "fos_buckling": 1.0722734219247967,
      "fos_yielding": 6.070144249904375,
      "deflection": 0.014159573683807096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_2458",
      "improvement_over_parent": null
    },
    "node_2460": {
      "node_id": "node_2460",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 246.56 kg\n  Factor of Safety: 1.28\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": 246.56320605470103,
      "fos_buckling": 1.2827005315416005,
      "fos_yielding": 7.401356824923946,
      "deflection": 0.011682072713884162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_2459",
      "improvement_over_parent": null
    },
    "node_2461": {
      "node_id": "node_2461",
      "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.45836707317324,
      "fos_buckling": 1.5344636769839917,
      "fos_yielding": 7.7441373568617715,
      "deflection": 0.011487735695998057,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.499)"
      },
      "parent_node_id": "node_2460",
      "improvement_over_parent": null
    },
    "node_2462": {
      "node_id": "node_2462",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2461",
      "improvement_over_parent": null
    },
    "node_2463": {
      "node_id": "node_2463",
      "content": "INITIAL DESIGN (Trace 349)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n\nPerformance:\n  Mass: 126.89 kg\n  Factor of Safety: 0.68\n  Max Deflection: 4.95e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.89132938015358,
      "fos_buckling": 0.6789741600031035,
      "fos_yielding": 1.6949155087519892,
      "deflection": 49474417682332.87,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2464": {
      "node_id": "node_2464",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 139.90 kg\n  Factor of Safety: 0.11\n  Max Deflection: 5.69e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.89604263289462,
      "fos_buckling": 0.11227597082176656,
      "fos_yielding": 1.6949155087519892,
      "deflection": 56859738859989.34,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004579)"
      },
      "parent_node_id": "node_2463",
      "improvement_over_parent": null
    },
    "node_2465": {
      "node_id": "node_2465",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n\nPerformance:\n  Mass: 157.45 kg\n  Factor of Safety: 0.30\n  Max Deflection: 4.19e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.44552149006702,
      "fos_buckling": 0.29899172966009413,
      "fos_yielding": 3.2327032935882984,
      "deflection": 0.041884446639201545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005527)"
      },
      "parent_node_id": "node_2464",
      "improvement_over_parent": null
    },
    "node_2466": {
      "node_id": "node_2466",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n  Mass: 200.21 kg\n  Factor of Safety: 0.37\n  Max Deflection: 3.30e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.21272310884132,
      "fos_buckling": 0.36759730056109424,
      "fos_yielding": 4.104305358415168,
      "deflection": 0.032986599743458675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_2465",
      "improvement_over_parent": null
    },
    "node_2467": {
      "node_id": "node_2467",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n  Mass: 216.94 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.93744691478054,
      "fos_buckling": 0.7309866958110522,
      "fos_yielding": 4.012188211360984,
      "deflection": 0.017696558398261075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005957)"
      },
      "parent_node_id": "node_2466",
      "improvement_over_parent": null
    },
    "node_2468": {
      "node_id": "node_2468",
      "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n  Mass: 221.93 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.93357904716783,
      "fos_buckling": 0.7265721673198487,
      "fos_yielding": 3.972635942786444,
      "deflection": 0.017695839216528057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.447)"
      },
      "parent_node_id": "node_2467",
      "improvement_over_parent": null
    },
    "node_2469": {
      "node_id": "node_2469",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 250.01 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.00762448407892,
      "fos_buckling": 0.8022933591471525,
      "fos_yielding": 4.474292729589815,
      "deflection": 0.015743745669867738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_2468",
      "improvement_over_parent": null
    },
    "node_2470": {
      "node_id": "node_2470",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.55361664514106,
      "fos_buckling": 1.5349775046343614,
      "fos_yielding": 7.7437393256476215,
      "deflection": 0.011483234042293892,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_2469",
      "improvement_over_parent": null
    },
    "node_2471": {
      "node_id": "node_2471",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2470",
      "improvement_over_parent": null
    },
    "node_2472": {
      "node_id": "node_2472",
      "content": "INITIAL DESIGN (Trace 350)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 167.45 kg\n  Factor of Safety: 0.38\n  Max Deflection: 2.62e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.44711799300273,
      "fos_buckling": 0.3849083257503549,
      "fos_yielding": 1.6949155087519892,
      "deflection": 26160587118805.613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2473": {
      "node_id": "node_2473",
      "content": "MODIFICATION: Increase 7 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 167.65 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.92e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.64714477897124,
      "fos_buckling": 0.3849083257503549,
      "fos_yielding": 1.6949155087519892,
      "deflection": 19227582476228.367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.647)"
      },
      "parent_node_id": "node_2472",
      "improvement_over_parent": null
    },
    "node_2474": {
      "node_id": "node_2474",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 186.50 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.82e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.49519279428344,
      "fos_buckling": 0.6039597810179362,
      "fos_yielding": 3.3898310175039783,
      "deflection": 18230263747095.047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_2473",
      "improvement_over_parent": null
    },
    "node_2475": {
      "node_id": "node_2475",
      "content": "MODIFICATION: Increase 2 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 191.90 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.48e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.898227572617,
      "fos_buckling": 0.9719850957086574,
      "fos_yielding": 6.646699022340963,
      "deflection": 14776227361419.771,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.592)"
      },
      "parent_node_id": "node_2474",
      "improvement_over_parent": null
    },
    "node_2476": {
      "node_id": "node_2476",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 217.02 kg\n  Factor of Safety: 0.78\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": 217.02036922446385,
      "fos_buckling": 0.7786663374960782,
      "fos_yielding": 5.852750266384709,
      "deflection": 0.014255429788518062,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_2475",
      "improvement_over_parent": null
    },
    "node_2477": {
      "node_id": "node_2477",
      "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0044)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 217.54 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.53902756552975,
      "fos_buckling": 0.7786663374960784,
      "fos_yielding": 7.703046168052114,
      "deflection": 0.014164855375914281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.361)"
      },
      "parent_node_id": "node_2476",
      "improvement_over_parent": null
    },
    "node_2478": {
      "node_id": "node_2478",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0044)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 236.15 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.15455362189707,
      "fos_buckling": 0.9019244461223423,
      "fos_yielding": 4.337994766968771,
      "deflection": 0.012582942262360314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2477",
      "improvement_over_parent": null
    },
    "node_2479": {
      "node_id": "node_2479",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0044)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.82 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.82483742815413,
      "fos_buckling": 1.5344297280244623,
      "fos_yielding": 7.7280282111923215,
      "deflection": 0.011467744880407754,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2478",
      "improvement_over_parent": null
    },
    "node_2480": {
      "node_id": "node_2480",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2479",
      "improvement_over_parent": null
    },
    "node_2481": {
      "node_id": "node_2481",
      "content": "INITIAL DESIGN (Trace 351)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 149.17 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.63e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.165124851159,
      "fos_buckling": 0.3106186488544812,
      "fos_yielding": 1.2467934127949438,
      "deflection": 0.03626005188394714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2482": {
      "node_id": "node_2482",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 169.13 kg\n  Factor of Safety: 0.35\n  Max Deflection: 3.21e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.13343269226635,
      "fos_buckling": 0.34628337361555245,
      "fos_yielding": 1.4098174666992038,
      "deflection": 0.032059819601846555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_2481",
      "improvement_over_parent": null
    },
    "node_2483": {
      "node_id": "node_2483",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 201.58 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.70e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.5771947325066,
      "fos_buckling": 0.40130839410562463,
      "fos_yielding": 1.6727929212145398,
      "deflection": 0.027009845493043878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_2482",
      "improvement_over_parent": null
    },
    "node_2484": {
      "node_id": "node_2484",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n  Mass: 223.87 kg\n  Factor of Safety: 1.39\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": 223.8659961561137,
      "fos_buckling": 1.392263127713065,
      "fos_yielding": 6.863487448887025,
      "deflection": 0.012912236812781872,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007145)"
      },
      "parent_node_id": "node_2483",
      "improvement_over_parent": null
    },
    "node_2485": {
      "node_id": "node_2485",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.39 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.39058215019386,
      "fos_buckling": 1.5340747433451807,
      "fos_yielding": 7.74055593105272,
      "deflection": 0.011490163506156411,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_2484",
      "improvement_over_parent": null
    },
    "node_2486": {
      "node_id": "node_2486",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2485",
      "improvement_over_parent": null
    },
    "node_2487": {
      "node_id": "node_2487",
      "content": "INITIAL DESIGN (Trace 352)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0023)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 137.55 kg\n  Factor of Safety: 0.91\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.54511126908605,
      "fos_buckling": 0.9129563322536267,
      "fos_yielding": 4.265897463600273,
      "deflection": 0.020622455205638775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2488": {
      "node_id": "node_2488",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 162.90 kg\n  Factor of Safety: 1.06\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": 162.89556381152696,
      "fos_buckling": 1.0579301527484963,
      "fos_yielding": 5.053237404153308,
      "deflection": 0.01746512046248728,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_2487",
      "improvement_over_parent": null
    },
    "node_2489": {
      "node_id": "node_2489",
      "content": "MODIFICATION: Increase 14 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 166.69 kg\n  Factor of Safety: 1.08\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": 166.68988916957574,
      "fos_buckling": 1.0849201354679798,
      "fos_yielding": 5.089193434068172,
      "deflection": 0.017218027223715356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.504)"
      },
      "parent_node_id": "node_2488",
      "improvement_over_parent": null
    },
    "node_2490": {
      "node_id": "node_2490",
      "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 166.86 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.72e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.85558009459288,
      "fos_buckling": 1.0851597252056393,
      "fos_yielding": 5.113043847084775,
      "deflection": 0.017212452943982548,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.585)"
      },
      "parent_node_id": "node_2489",
      "improvement_over_parent": null
    },
    "node_2491": {
      "node_id": "node_2491",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 203.34 kg\n  Factor of Safety: 1.29\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": 203.33872125166187,
      "fos_buckling": 1.285376660774109,
      "fos_yielding": 6.233614983434543,
      "deflection": 0.014183289240697535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_2490",
      "improvement_over_parent": null
    },
    "node_2492": {
      "node_id": "node_2492",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.59905641661936,
      "fos_buckling": 1.5351330626757322,
      "fos_yielding": 7.74811897811391,
      "deflection": 0.011481590366732887,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_2491",
      "improvement_over_parent": null
    },
    "node_2493": {
      "node_id": "node_2493",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2492",
      "improvement_over_parent": null
    },
    "node_2494": {
      "node_id": "node_2494",
      "content": "INITIAL DESIGN (Trace 353)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 184.76 kg\n  Factor of Safety: 0.71\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": 184.76068616355747,
      "fos_buckling": 0.7102408461188436,
      "fos_yielding": 5.226374120211072,
      "deflection": 0.020091155579762272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2495": {
      "node_id": "node_2495",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 211.04 kg\n  Factor of Safety: 0.79\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": 211.04106732036718,
      "fos_buckling": 0.791053344371244,
      "fos_yielding": 5.944359290706665,
      "deflection": 0.017640146735502613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_2494",
      "improvement_over_parent": null
    },
    "node_2496": {
      "node_id": "node_2496",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 227.71 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.71135112662427,
      "fos_buckling": 0.915664209447943,
      "fos_yielding": 6.807712822613405,
      "deflection": 0.014908107836156821,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2495",
      "improvement_over_parent": null
    },
    "node_2497": {
      "node_id": "node_2497",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 228.42 kg\n  Factor of Safety: 0.92\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": 228.4156719735453,
      "fos_buckling": 0.915601791482586,
      "fos_yielding": 6.807248762121858,
      "deflection": 0.014905298180869683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_2496",
      "improvement_over_parent": null
    },
    "node_2498": {
      "node_id": "node_2498",
      "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 233.08 kg\n  Factor of Safety: 0.92\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": 233.07939247363194,
      "fos_buckling": 0.9153951992565287,
      "fos_yielding": 6.805712805455789,
      "deflection": 0.014745876275232798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.477)"
      },
      "parent_node_id": "node_2497",
      "improvement_over_parent": null
    },
    "node_2499": {
      "node_id": "node_2499",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.34563329453925,
      "fos_buckling": 1.5340274728810643,
      "fos_yielding": 7.73921368011163,
      "deflection": 0.011492737363952408,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_2498",
      "improvement_over_parent": null
    },
    "node_2500": {
      "node_id": "node_2500",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2499",
      "improvement_over_parent": null
    },
    "node_2501": {
      "node_id": "node_2501",
      "content": "INITIAL DESIGN (Trace 354)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 198.65 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.6532068041686,
      "fos_buckling": 0.7707022653563579,
      "fos_yielding": 4.5329279928620565,
      "deflection": 0.017106800999050504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2502": {
      "node_id": "node_2502",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 227.82 kg\n  Factor of Safety: 0.86\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": 227.82435649671322,
      "fos_buckling": 0.8610497117293742,
      "fos_yielding": 5.201043257036175,
      "deflection": 0.014953991233445417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_2501",
      "improvement_over_parent": null
    },
    "node_2503": {
      "node_id": "node_2503",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 228.53 kg\n  Factor of Safety: 0.41\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": 228.52867734363426,
      "fos_buckling": 0.40533976922750936,
      "fos_yielding": 5.201246005116012,
      "deflection": 0.013744376209477547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_2502",
      "improvement_over_parent": null
    },
    "node_2504": {
      "node_id": "node_2504",
      "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0095)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 233.81 kg\n  Factor of Safety: 0.41\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": 233.80960963351524,
      "fos_buckling": 0.4051283933366027,
      "fos_yielding": 5.090730133736697,
      "deflection": 0.013576001385439579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.256)"
      },
      "parent_node_id": "node_2503",
      "improvement_over_parent": null
    },
    "node_2505": {
      "node_id": "node_2505",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0095)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.66 kg\n  Factor of Safety: 1.40\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": 252.65765764882744,
      "fos_buckling": 1.40347661594309,
      "fos_yielding": 7.18644131787047,
      "deflection": 0.011645895441381353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_2504",
      "improvement_over_parent": null
    },
    "node_2506": {
      "node_id": "node_2506",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2505",
      "improvement_over_parent": null
    },
    "node_2507": {
      "node_id": "node_2507",
      "content": "INITIAL DESIGN (Trace 355)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n  Mass: 116.02 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.43e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.01557665813786,
      "fos_buckling": 0.7078418911785639,
      "fos_yielding": 3.3898310175039783,
      "deflection": 14271327507516.387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2508": {
      "node_id": "node_2508",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n\nPerformance:\n  Mass: 129.81 kg\n  Factor of Safety: 0.02\n  Max Deflection: 6.37e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.80844752138813,
      "fos_buckling": 0.02138832884134597,
      "fos_yielding": 0.13008026052425337,
      "deflection": 636519973744685.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004301)"
      },
      "parent_node_id": "node_2507",
      "improvement_over_parent": null
    },
    "node_2509": {
      "node_id": "node_2509",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n\nPerformance:\n  Mass: 147.80 kg\n  Factor of Safety: 0.03\n  Max Deflection: 4.55e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.79863561815276,
      "fos_buckling": 0.025468950507668633,
      "fos_yielding": 0.10593221929699932,
      "deflection": 454590552703446.9,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_2508",
      "improvement_over_parent": null
    },
    "node_2510": {
      "node_id": "node_2510",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n\nPerformance:\n  Mass: 190.69 kg\n  Factor of Safety: 1.43\n  Max Deflection: 5.08e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.6929684172651,
      "fos_buckling": 1.4342850928048214,
      "fos_yielding": 6.779662035007957,
      "deflection": 5081010711431.935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_2509",
      "improvement_over_parent": null
    },
    "node_2511": {
      "node_id": "node_2511",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n\nPerformance:\n  Mass: 203.50 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.5034360824218,
      "fos_buckling": 0.3994957584169477,
      "fos_yielding": 5.103672368810436,
      "deflection": 0.01549433332023133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005355)"
      },
      "parent_node_id": "node_2510",
      "improvement_over_parent": null
    },
    "node_2512": {
      "node_id": "node_2512",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 233.88 kg\n  Factor of Safety: 0.45\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": 233.88195596757654,
      "fos_buckling": 0.4460392853964117,
      "fos_yielding": 5.825570071048391,
      "deflection": 0.013534459270952946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_2511",
      "improvement_over_parent": null
    },
    "node_2513": {
      "node_id": "node_2513",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49748202394386,
      "fos_buckling": 1.5347063108651815,
      "fos_yielding": 7.745459819042606,
      "deflection": 0.01148574479395499,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2512",
      "improvement_over_parent": null
    },
    "node_2514": {
      "node_id": "node_2514",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2513",
      "improvement_over_parent": null
    },
    "node_2515": {
      "node_id": "node_2515",
      "content": "INITIAL DESIGN (Trace 356)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0029)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n\nPerformance:\n  Mass: 123.20 kg\n  Factor of Safety: 0.19\n  Max Deflection: 2.52e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.20378517121974,
      "fos_buckling": 0.19307253391476306,
      "fos_yielding": 2.753709119824454,
      "deflection": 0.025245200429732568,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2516": {
      "node_id": "node_2516",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 155.29 kg\n  Factor of Safety: 0.24\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": 155.29103342987239,
      "fos_buckling": 0.23896725872871333,
      "fos_yielding": 3.4613590230013496,
      "deflection": 0.02011245961916408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_2515",
      "improvement_over_parent": null
    },
    "node_2517": {
      "node_id": "node_2517",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n  Mass: 198.70 kg\n  Factor of Safety: 0.30\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": 198.70410169622963,
      "fos_buckling": 0.2982462356455415,
      "fos_yielding": 4.4140612486751465,
      "deflection": 0.015811306023429433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_2516",
      "improvement_over_parent": null
    },
    "node_2518": {
      "node_id": "node_2518",
      "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n  Mass: 203.74 kg\n  Factor of Safety: 0.30\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": 203.74127819851395,
      "fos_buckling": 0.30005252421474465,
      "fos_yielding": 4.4407944222221225,
      "deflection": 0.015652467755630697,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.357)"
      },
      "parent_node_id": "node_2517",
      "improvement_over_parent": null
    },
    "node_2519": {
      "node_id": "node_2519",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 219.98 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.9813107890513,
      "fos_buckling": 1.37315832776819,
      "fos_yielding": 6.722717561950652,
      "deflection": 0.013126941660757292,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005812)"
      },
      "parent_node_id": "node_2518",
      "improvement_over_parent": null
    },
    "node_2520": {
      "node_id": "node_2520",
      "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 220.19 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.1862919134817,
      "fos_buckling": 1.3734291818742752,
      "fos_yielding": 6.751718997230697,
      "deflection": 0.013123153177444195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.541)"
      },
      "parent_node_id": "node_2519",
      "improvement_over_parent": null
    },
    "node_2521": {
      "node_id": "node_2521",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.26 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.25627729048634,
      "fos_buckling": 1.533459872668493,
      "fos_yielding": 7.737935041281345,
      "deflection": 0.011496653453001122,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_2520",
      "improvement_over_parent": null
    },
    "node_2522": {
      "node_id": "node_2522",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2521",
      "improvement_over_parent": null
    },
    "node_2523": {
      "node_id": "node_2523",
      "content": "INITIAL DESIGN (Trace 357)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 142.66 kg\n  Factor of Safety: 0.73\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": 142.6565289621046,
      "fos_buckling": 0.7273819676122819,
      "fos_yielding": 2.8761663580925863,
      "deflection": 0.02072366193567069,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2524": {
      "node_id": "node_2524",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 172.22 kg\n  Factor of Safety: 0.87\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": 172.21796652100682,
      "fos_buckling": 0.8704221951283188,
      "fos_yielding": 3.486022828512502,
      "deflection": 0.01721647435398419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_2523",
      "improvement_over_parent": null
    },
    "node_2525": {
      "node_id": "node_2525",
      "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 175.49 kg\n  Factor of Safety: 0.90\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": 175.48915422609656,
      "fos_buckling": 0.9008722622593722,
      "fos_yielding": 3.6079747154734507,
      "deflection": 0.016582292286497727,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.232)"
      },
      "parent_node_id": "node_2524",
      "improvement_over_parent": null
    },
    "node_2526": {
      "node_id": "node_2526",
      "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 176.13 kg\n  Factor of Safety: 1.14\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": 176.1252858230839,
      "fos_buckling": 1.1379797643577816,
      "fos_yielding": 5.3770983026445,
      "deflection": 0.016312391630168743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.592)"
      },
      "parent_node_id": "node_2525",
      "improvement_over_parent": null
    },
    "node_2527": {
      "node_id": "node_2527",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 198.77 kg\n  Factor of Safety: 1.26\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": 198.7741802711741,
      "fos_buckling": 1.2618022723133553,
      "fos_yielding": 6.07027148663897,
      "deflection": 0.014491258685518904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2526",
      "improvement_over_parent": null
    },
    "node_2528": {
      "node_id": "node_2528",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.54844297348882,
      "fos_buckling": 1.5357389622047064,
      "fos_yielding": 7.717638417156319,
      "deflection": 0.011475857865548077,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_2527",
      "improvement_over_parent": null
    },
    "node_2529": {
      "node_id": "node_2529",
      "content": "MODIFICATION: Increase 8 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.80 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.79509033117685,
      "fos_buckling": 1.5360589910904294,
      "fos_yielding": 7.753346737839593,
      "deflection": 0.01147236282441518,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.590)"
      },
      "parent_node_id": "node_2528",
      "improvement_over_parent": null
    },
    "node_2530": {
      "node_id": "node_2530",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2529",
      "improvement_over_parent": null
    },
    "node_2531": {
      "node_id": "node_2531",
      "content": "INITIAL DESIGN (Trace 358)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 193.02 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.91e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.0174044175383,
      "fos_buckling": 0.3966898428578893,
      "fos_yielding": 1.1442959648609727,
      "deflection": 0.02907322499207087,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2532": {
      "node_id": "node_2532",
      "content": "MODIFICATION: Increase 7 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 193.23 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.78e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.23015476912266,
      "fos_buckling": 0.3966816348960492,
      "fos_yielding": 1.6488491885402077,
      "deflection": 0.02779171317598392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.572)"
      },
      "parent_node_id": "node_2531",
      "improvement_over_parent": null
    },
    "node_2533": {
      "node_id": "node_2533",
      "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 198.15 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.74e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.14776889007888,
      "fos_buckling": 0.3964920067298738,
      "fos_yielding": 1.6480675674018235,
      "deflection": 0.027435194076342956,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.362)"
      },
      "parent_node_id": "node_2532",
      "improvement_over_parent": null
    },
    "node_2534": {
      "node_id": "node_2534",
      "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 198.63 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.74e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.63043149748833,
      "fos_buckling": 0.39645480410023765,
      "fos_yielding": 1.6479142225619423,
      "deflection": 0.02740190621848839,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.300)"
      },
      "parent_node_id": "node_2533",
      "improvement_over_parent": null
    },
    "node_2535": {
      "node_id": "node_2535",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 227.38 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.3765583159203,
      "fos_buckling": 0.4424970962838982,
      "fos_yielding": 1.8790260133885366,
      "deflection": 0.024024037070534198,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_2534",
      "improvement_over_parent": null
    },
    "node_2536": {
      "node_id": "node_2536",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49869996776715,
      "fos_buckling": 1.534619226295059,
      "fos_yielding": 7.744165697922918,
      "deflection": 0.01148582697924897,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_2535",
      "improvement_over_parent": null
    },
    "node_2537": {
      "node_id": "node_2537",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2536",
      "improvement_over_parent": null
    },
    "node_2538": {
      "node_id": "node_2538",
      "content": "INITIAL DESIGN (Trace 359)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 176.39 kg\n  Factor of Safety: 0.77\n  Max Deflection: 7.00e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.38589210401886,
      "fos_buckling": 0.7698166515007098,
      "fos_yielding": 3.3898310175039783,
      "deflection": 7004743863564.295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2539": {
      "node_id": "node_2539",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n\nPerformance:\n  Mass: 195.58 kg\n  Factor of Safety: 0.57\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": 195.5813555561702,
      "fos_buckling": 0.5704797571698131,
      "fos_yielding": 3.8825547905601434,
      "deflection": 0.0220736407632457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006082)"
      },
      "parent_node_id": "node_2538",
      "improvement_over_parent": null
    },
    "node_2540": {
      "node_id": "node_2540",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 222.72 kg\n  Factor of Safety: 0.57\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": 222.71987912455265,
      "fos_buckling": 0.5690079834882563,
      "fos_yielding": 5.848579165645626,
      "deflection": 0.019255842536476574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2539",
      "improvement_over_parent": null
    },
    "node_2541": {
      "node_id": "node_2541",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 223.42 kg\n  Factor of Safety: 0.53\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": 223.42419997147368,
      "fos_buckling": 0.5334501467850569,
      "fos_yielding": 5.84702633739655,
      "deflection": 0.015124007938308901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_2540",
      "improvement_over_parent": null
    },
    "node_2542": {
      "node_id": "node_2542",
      "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 224.32 kg\n  Factor of Safety: 0.53\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": 224.31543225444614,
      "fos_buckling": 0.5343559741976154,
      "fos_yielding": 5.84702633739655,
      "deflection": 0.015091977913498476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.484)"
      },
      "parent_node_id": "node_2541",
      "improvement_over_parent": null
    },
    "node_2543": {
      "node_id": "node_2543",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 242.93 kg\n  Factor of Safety: 1.29\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": 242.93095831081345,
      "fos_buckling": 1.2861598297653578,
      "fos_yielding": 8.013315798374517,
      "deflection": 0.012089711398315255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2542",
      "improvement_over_parent": null
    },
    "node_2544": {
      "node_id": "node_2544",
      "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 246.12 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.11880416506588,
      "fos_buckling": 1.3270530107657421,
      "fos_yielding": 8.04084597365202,
      "deflection": 0.011984103193255246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.339)"
      },
      "parent_node_id": "node_2543",
      "improvement_over_parent": null
    },
    "node_2545": {
      "node_id": "node_2545",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2544",
      "improvement_over_parent": null
    },
    "node_2546": {
      "node_id": "node_2546",
      "content": "INITIAL DESIGN (Trace 360)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 200.73 kg\n  Factor of Safety: 1.06\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": 200.73101805268888,
      "fos_buckling": 1.062966642659982,
      "fos_yielding": 6.902299543583076,
      "deflection": 0.01459962688754418,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2547": {
      "node_id": "node_2547",
      "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 204.31 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.31268241788254,
      "fos_buckling": 1.146342131649824,
      "fos_yielding": 7.128979632460307,
      "deflection": 0.0144096950129712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.314)"
      },
      "parent_node_id": "node_2546",
      "improvement_over_parent": null
    },
    "node_2548": {
      "node_id": "node_2548",
      "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 209.33 kg\n  Factor of Safety: 1.25\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": 209.33203610073903,
      "fos_buckling": 1.2509653990903247,
      "fos_yielding": 6.7855785334996135,
      "deflection": 0.013787951420965873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.335)"
      },
      "parent_node_id": "node_2547",
      "improvement_over_parent": null
    },
    "node_2549": {
      "node_id": "node_2549",
      "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 212.84 kg\n  Factor of Safety: 1.34\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": 212.83664179308977,
      "fos_buckling": 1.3353397647227812,
      "fos_yielding": 6.525996281430793,
      "deflection": 0.013564543184582166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.297)"
      },
      "parent_node_id": "node_2548",
      "improvement_over_parent": null
    },
    "node_2550": {
      "node_id": "node_2550",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.56047311505228,
      "fos_buckling": 1.5349157040353716,
      "fos_yielding": 7.74751842900379,
      "deflection": 0.011482869723722502,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_2549",
      "improvement_over_parent": null
    },
    "node_2551": {
      "node_id": "node_2551",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2550",
      "improvement_over_parent": null
    },
    "node_2552": {
      "node_id": "node_2552",
      "content": "INITIAL DESIGN (Trace 361)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 189.76 kg\n  Factor of Safety: 0.41\n  Max Deflection: 4.83e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.7641660231245,
      "fos_buckling": 0.4066583224138855,
      "fos_yielding": 0.8474577543759946,
      "deflection": 48343930719269.49,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2553": {
      "node_id": "node_2553",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 213.05 kg\n  Factor of Safety: 0.21\n  Max Deflection: 1.59e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.05000562522173,
      "fos_buckling": 0.21297654663478546,
      "fos_yielding": 3.389831017503978,
      "deflection": 15850070121226.47,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_2552",
      "improvement_over_parent": null
    },
    "node_2554": {
      "node_id": "node_2554",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 231.67 kg\n  Factor of Safety: 0.85\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": 231.66553168158904,
      "fos_buckling": 0.8450039348457474,
      "fos_yielding": 5.040879484752166,
      "deflection": 0.013787863156341703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2553",
      "improvement_over_parent": null
    },
    "node_2555": {
      "node_id": "node_2555",
      "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 236.96 kg\n  Factor of Safety: 0.84\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": 236.96415748556623,
      "fos_buckling": 0.8437313671192374,
      "fos_yielding": 4.811471495014921,
      "deflection": 0.013317315231196985,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.279)"
      },
      "parent_node_id": "node_2554",
      "improvement_over_parent": null
    },
    "node_2556": {
      "node_id": "node_2556",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 251.69 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.6886650942238,
      "fos_buckling": 1.3240203867830744,
      "fos_yielding": 5.518398527150896,
      "deflection": 0.01163917403141334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_2555",
      "improvement_over_parent": null
    },
    "node_2557": {
      "node_id": "node_2557",
      "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 251.99 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.99400123081512,
      "fos_buckling": 1.3289175115993654,
      "fos_yielding": 5.538809305295448,
      "deflection": 0.011635998359772762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.502)"
      },
      "parent_node_id": "node_2556",
      "improvement_over_parent": null
    },
    "node_2558": {
      "node_id": "node_2558",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 362)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 151.42 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.64e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.42162662224564,
      "fos_buckling": 0.5679522502232802,
      "fos_yielding": 4.034247792168148,
      "deflection": 0.026396067689684083,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2560": {
      "node_id": "node_2560",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n\nPerformance:\n  Mass: 152.71 kg\n  Factor of Safety: 0.65\n  Max Deflection: 2.22e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.7076053639144,
      "fos_buckling": 0.6463648136926763,
      "fos_yielding": 4.528065835924935,
      "deflection": 0.02219363059420799,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.001960)"
      },
      "parent_node_id": "node_2559",
      "improvement_over_parent": null
    },
    "node_2561": {
      "node_id": "node_2561",
      "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n\nPerformance:\n  Mass: 153.03 kg\n  Factor of Safety: 0.65\n  Max Deflection: 2.22e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.0329032751721,
      "fos_buckling": 0.6463648136926761,
      "fos_yielding": 4.528065835924935,
      "deflection": 0.0221600322343929,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.325)"
      },
      "parent_node_id": "node_2560",
      "improvement_over_parent": null
    },
    "node_2562": {
      "node_id": "node_2562",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n  Mass: 153.50 kg\n  Factor of Safety: 0.65\n  Max Deflection: 2.21e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.49755877854201,
      "fos_buckling": 0.6463355169754629,
      "fos_yielding": 4.527860599715435,
      "deflection": 0.02213390832108187,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001365)"
      },
      "parent_node_id": "node_2561",
      "improvement_over_parent": null
    },
    "node_2563": {
      "node_id": "node_2563",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 192.97 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.96572714588967,
      "fos_buckling": 0.7859744977632881,
      "fos_yielding": 5.669449238612169,
      "deflection": 0.017685765983018537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_2562",
      "improvement_over_parent": null
    },
    "node_2564": {
      "node_id": "node_2564",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 193.28 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.28273468162334,
      "fos_buckling": 0.7859744977632881,
      "fos_yielding": 5.669449238612169,
      "deflection": 0.017685765983018537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.236)"
      },
      "parent_node_id": "node_2563",
      "improvement_over_parent": null
    },
    "node_2565": {
      "node_id": "node_2565",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 209.26 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.25959254578655,
      "fos_buckling": 1.2242528031036455,
      "fos_yielding": 5.060128879446456,
      "deflection": 0.013885138267814259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005816)"
      },
      "parent_node_id": "node_2564",
      "improvement_over_parent": null
    },
    "node_2566": {
      "node_id": "node_2566",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.13 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.13327879915357,
      "fos_buckling": 1.4479166419762906,
      "fos_yielding": 6.123394290869947,
      "deflection": 0.011577971520966244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_2565",
      "improvement_over_parent": null
    },
    "node_2567": {
      "node_id": "node_2567",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2566",
      "improvement_over_parent": null
    },
    "node_2568": {
      "node_id": "node_2568",
      "content": "INITIAL DESIGN (Trace 363)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 166.54 kg\n  Factor of Safety: 0.33\n  Max Deflection: 4.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.53636047033308,
      "fos_buckling": 0.33168217345563467,
      "fos_yielding": 2.991739416051522,
      "deflection": 0.04128564497067387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2569": {
      "node_id": "node_2569",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n\nPerformance:\n  Mass: 168.43 kg\n  Factor of Safety: 0.33\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": 168.43334908645423,
      "fos_buckling": 0.3315577157517437,
      "fos_yielding": 3.8919590474402486,
      "deflection": 0.01834767284795967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002954)"
      },
      "parent_node_id": "node_2568",
      "improvement_over_parent": null
    },
    "node_2570": {
      "node_id": "node_2570",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n\nPerformance:\n  Mass: 182.48 kg\n  Factor of Safety: 1.07\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": 182.4762911020053,
      "fos_buckling": 1.0727197652710183,
      "fos_yielding": 5.539438682374606,
      "deflection": 0.01579079879724259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004935)"
      },
      "parent_node_id": "node_2569",
      "improvement_over_parent": null
    },
    "node_2571": {
      "node_id": "node_2571",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n  Mass: 214.90 kg\n  Factor of Safety: 1.24\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": 214.8952343653863,
      "fos_buckling": 1.2370900912731735,
      "fos_yielding": 6.526599595235153,
      "deflection": 0.01345789576626422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2570",
      "improvement_over_parent": null
    },
    "node_2572": {
      "node_id": "node_2572",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 244.91 kg\n  Factor of Safety: 1.38\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": 244.90859398251678,
      "fos_buckling": 1.3822953187265632,
      "fos_yielding": 7.441387764289928,
      "deflection": 0.011848644970658117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_2571",
      "improvement_over_parent": null
    },
    "node_2573": {
      "node_id": "node_2573",
      "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0091)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 249.22 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.21723940099008,
      "fos_buckling": 1.4242313581320036,
      "fos_yielding": 7.254741290891287,
      "deflection": 0.011700691805289277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.208)"
      },
      "parent_node_id": "node_2572",
      "improvement_over_parent": null
    },
    "node_2574": {
      "node_id": "node_2574",
      "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0091)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0050)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 249.73 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.7348324148686,
      "fos_buckling": 1.4369988778511213,
      "fos_yielding": 8.502279054578098,
      "deflection": 0.01163309690530426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.229)"
      },
      "parent_node_id": "node_2573",
      "improvement_over_parent": null
    },
    "node_2575": {
      "node_id": "node_2575",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2574",
      "improvement_over_parent": null
    },
    "node_2576": {
      "node_id": "node_2576",
      "content": "INITIAL DESIGN (Trace 364)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n  Mass: 146.72 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.72282974654962,
      "fos_buckling": 0.263371617184592,
      "fos_yielding": 3.854291907865717,
      "deflection": 0.021342179143637407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2577": {
      "node_id": "node_2577",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n  Mass: 176.22 kg\n  Factor of Safety: 0.31\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": 176.21591420035261,
      "fos_buckling": 0.30960802188997216,
      "fos_yielding": 4.611070194373374,
      "deflection": 0.017836869523674293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_2576",
      "improvement_over_parent": null
    },
    "node_2578": {
      "node_id": "node_2578",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n  Mass: 200.97 kg\n  Factor of Safety: 0.35\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": 200.96987404365106,
      "fos_buckling": 0.3467314553667975,
      "fos_yielding": 5.239356315194599,
      "deflection": 0.01568892017091427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_2577",
      "improvement_over_parent": null
    },
    "node_2579": {
      "node_id": "node_2579",
      "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n  Mass: 201.10 kg\n  Factor of Safety: 0.41\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": 201.10080000268167,
      "fos_buckling": 0.4089563594241492,
      "fos_yielding": 5.239097069893414,
      "deflection": 0.015658190460440553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.285)"
      },
      "parent_node_id": "node_2578",
      "improvement_over_parent": null
    },
    "node_2580": {
      "node_id": "node_2580",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 217.74 kg\n  Factor of Safety: 1.20\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": 217.74467582549823,
      "fos_buckling": 1.1962707628167921,
      "fos_yielding": 6.844027881855057,
      "deflection": 0.01337746851498399,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005969)"
      },
      "parent_node_id": "node_2579",
      "improvement_over_parent": null
    },
    "node_2581": {
      "node_id": "node_2581",
      "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 221.28 kg\n  Factor of Safety: 1.24\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": 221.27877408493907,
      "fos_buckling": 1.2390509091061344,
      "fos_yielding": 6.6324148762442645,
      "deflection": 0.013174100260023656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.222)"
      },
      "parent_node_id": "node_2580",
      "improvement_over_parent": null
    },
    "node_2582": {
      "node_id": "node_2582",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 247.51 kg\n  Factor of Safety: 1.36\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": 247.50609437612945,
      "fos_buckling": 1.3632654034725848,
      "fos_yielding": 7.422339445101124,
      "deflection": 0.011811806828297342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_2581",
      "improvement_over_parent": null
    },
    "node_2583": {
      "node_id": "node_2583",
      "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.35597590285812,
      "fos_buckling": 1.5341422134125335,
      "fos_yielding": 7.7410387900956055,
      "deflection": 0.011492153875048344,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.239)"
      },
      "parent_node_id": "node_2582",
      "improvement_over_parent": null
    },
    "node_2584": {
      "node_id": "node_2584",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2583",
      "improvement_over_parent": null
    },
    "node_2585": {
      "node_id": "node_2585",
      "content": "INITIAL DESIGN (Trace 365)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 223.22 kg\n  Factor of Safety: 0.43\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": 223.2234200422616,
      "fos_buckling": 0.4257756473800923,
      "fos_yielding": 5.377170016084893,
      "deflection": 0.014858333751234146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2586": {
      "node_id": "node_2586",
      "content": "MODIFICATION: Increase 13 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 226.34 kg\n  Factor of Safety: 0.41\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": 226.33731469561633,
      "fos_buckling": 0.4060918104954114,
      "fos_yielding": 5.37767362014925,
      "deflection": 0.014802895247998186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.233)"
      },
      "parent_node_id": "node_2585",
      "improvement_over_parent": null
    },
    "node_2587": {
      "node_id": "node_2587",
      "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.64 kg\n  Factor of Safety: 0.41\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": 233.63652764883616,
      "fos_buckling": 0.40521369345388814,
      "fos_yielding": 5.37495417367491,
      "deflection": 0.013389814643995857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.449)"
      },
      "parent_node_id": "node_2586",
      "improvement_over_parent": null
    },
    "node_2588": {
      "node_id": "node_2588",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.48457566414837,
      "fos_buckling": 1.5345608084139826,
      "fos_yielding": 7.743899548482245,
      "deflection": 0.01148611366013276,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_2587",
      "improvement_over_parent": null
    },
    "node_2589": {
      "node_id": "node_2589",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2588",
      "improvement_over_parent": null
    },
    "node_2590": {
      "node_id": "node_2590",
      "content": "INITIAL DESIGN (Trace 366)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_2591": {
      "node_id": "node_2591",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 224.32 kg\n  Factor of Safety: 0.92\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": 224.32347279564559,
      "fos_buckling": 0.9167688237376229,
      "fos_yielding": 6.816599573781419,
      "deflection": 0.01487841295558864,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_2590",
      "improvement_over_parent": null
    },
    "node_2592": {
      "node_id": "node_2592",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 247.61 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.60931239774283,
      "fos_buckling": 1.4367077094871232,
      "fos_yielding": 7.551695244176326,
      "deflection": 0.01164400990199698,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_2591",
      "improvement_over_parent": null
    },
    "node_2593": {
      "node_id": "node_2593",
      "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0090)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 253.28 kg\n  Factor of Safety: 1.39\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": 253.28228105903014,
      "fos_buckling": 1.3878534117417503,
      "fos_yielding": 7.658349114277148,
      "deflection": 0.011524485536813579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.364)"
      },
      "parent_node_id": "node_2592",
      "improvement_over_parent": null
    },
    "node_2594": {
      "node_id": "node_2594",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0090)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 253.87 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.87289152650195,
      "fos_buckling": 1.4776094883372677,
      "fos_yielding": 7.985232908448327,
      "deflection": 0.011483073511511442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001764)"
      },
      "parent_node_id": "node_2593",
      "improvement_over_parent": null
    },
    "node_2595": {
      "node_id": "node_2595",
      "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0099)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0090)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 258.99 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.99251480699013,
      "fos_buckling": 1.48057010033916,
      "fos_yielding": 8.27524139101177,
      "deflection": 0.011232203113425777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.212)"
      },
      "parent_node_id": "node_2594",
      "improvement_over_parent": null
    },
    "node_2596": {
      "node_id": "node_2596",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2595",
      "improvement_over_parent": null
    },
    "node_2597": {
      "node_id": "node_2597",
      "content": "INITIAL DESIGN (Trace 367)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 201.77 kg\n  Factor of Safety: 0.74\n  Max Deflection: 6.29e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.77280668921017,
      "fos_buckling": 0.743308462765946,
      "fos_yielding": 3.3898310175039783,
      "deflection": 6292100771884.679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2598": {
      "node_id": "node_2598",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 226.89 kg\n  Factor of Safety: 0.90\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": 226.89494834105702,
      "fos_buckling": 0.9029446938240047,
      "fos_yielding": 5.480607279489327,
      "deflection": 0.015884700994663832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_2597",
      "improvement_over_parent": null
    },
    "node_2599": {
      "node_id": "node_2599",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 243.57 kg\n  Factor of Safety: 0.81\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": 243.56523214731408,
      "fos_buckling": 0.8083548535211568,
      "fos_yielding": 4.525673826424942,
      "deflection": 0.01574857494052227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2598",
      "improvement_over_parent": null
    },
    "node_2600": {
      "node_id": "node_2600",
      "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 249.93 kg\n  Factor of Safety: 0.80\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": 249.93032939571913,
      "fos_buckling": 0.8024342418600874,
      "fos_yielding": 4.471677867238536,
      "deflection": 0.015748303156101404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.541)"
      },
      "parent_node_id": "node_2599",
      "improvement_over_parent": null
    },
    "node_2601": {
      "node_id": "node_2601",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47632155678127,
      "fos_buckling": 1.5345798820693115,
      "fos_yielding": 7.743784803522534,
      "deflection": 0.011486850966091509,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_2600",
      "improvement_over_parent": null
    },
    "node_2602": {
      "node_id": "node_2602",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2601",
      "improvement_over_parent": null
    },
    "node_2603": {
      "node_id": "node_2603",
      "content": "INITIAL DESIGN (Trace 368)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 153.16 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.18e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.15563647520912,
      "fos_buckling": 0.3082329480036042,
      "fos_yielding": 0.8474577543759946,
      "deflection": 31818836208697.367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2604": {
      "node_id": "node_2604",
      "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 153.47 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.18e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.468683312534,
      "fos_buckling": 0.3089445819956738,
      "fos_yielding": 1.9418542924403726,
      "deflection": 31818836208697.35,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.376)"
      },
      "parent_node_id": "node_2603",
      "improvement_over_parent": null
    },
    "node_2605": {
      "node_id": "node_2605",
      "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 153.77 kg\n  Factor of Safety: 0.57\n  Max Deflection: 7.75e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.76842408675685,
      "fos_buckling": 0.5703592282997054,
      "fos_yielding": 2.2598873450026526,
      "deflection": 7752877969692.807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.383)"
      },
      "parent_node_id": "node_2604",
      "improvement_over_parent": null
    },
    "node_2606": {
      "node_id": "node_2606",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n\nPerformance:\n  Mass: 165.97 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.27e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.97001937132345,
      "fos_buckling": 0.3414981671789501,
      "fos_yielding": 1.3876465561504059,
      "deflection": 0.032706420808556715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004554)"
      },
      "parent_node_id": "node_2605",
      "improvement_over_parent": null
    },
    "node_2607": {
      "node_id": "node_2607",
      "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n\nPerformance:\n  Mass: 166.41 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.26e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.4103139410624,
      "fos_buckling": 0.34149816717895,
      "fos_yielding": 1.387646556150407,
      "deflection": 0.032573266289252625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.420)"
      },
      "parent_node_id": "node_2606",
      "improvement_over_parent": null
    },
    "node_2608": {
      "node_id": "node_2608",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n  Mass: 196.11 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.77e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.10578763128518,
      "fos_buckling": 0.3922785087003118,
      "fos_yielding": 1.6286175227744957,
      "deflection": 0.0277443615612174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_2607",
      "improvement_over_parent": null
    },
    "node_2609": {
      "node_id": "node_2609",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 227.35 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.34620260970974,
      "fos_buckling": 0.4424517962990653,
      "fos_yielding": 1.8800185474437459,
      "deflection": 0.02402586222834876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_2608",
      "improvement_over_parent": null
    },
    "node_2610": {
      "node_id": "node_2610",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46834426155658,
      "fos_buckling": 1.53452674019908,
      "fos_yielding": 7.744143673686012,
      "deflection": 0.011487142737544323,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_2609",
      "improvement_over_parent": null
    },
    "node_2611": {
      "node_id": "node_2611",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2610",
      "improvement_over_parent": null
    },
    "node_2612": {
      "node_id": "node_2612",
      "content": "INITIAL DESIGN (Trace 369)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 185.27 kg\n  Factor of Safety: 0.68\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": 185.271106227516,
      "fos_buckling": 0.6799501437489921,
      "fos_yielding": 2.5876918855695266,
      "deflection": 0.0214125768410152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2613": {
      "node_id": "node_2613",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 203.06 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.06258191592042,
      "fos_buckling": 0.6793628561834315,
      "fos_yielding": 3.8849583516442174,
      "deflection": 0.0196153326106968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_2612",
      "improvement_over_parent": null
    },
    "node_2614": {
      "node_id": "node_2614",
      "content": "MODIFICATION: Increase 5 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 208.20 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.19569198532616,
      "fos_buckling": 0.6791936033576049,
      "fos_yielding": 3.8839967297659075,
      "deflection": 0.019428288919821655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.587)"
      },
      "parent_node_id": "node_2613",
      "improvement_over_parent": null
    },
    "node_2615": {
      "node_id": "node_2615",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 235.33 kg\n  Factor of Safety: 0.90\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": 235.33421555370862,
      "fos_buckling": 0.901922476353495,
      "fos_yielding": 5.35581153521502,
      "deflection": 0.012590055627851612,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2614",
      "improvement_over_parent": null
    },
    "node_2616": {
      "node_id": "node_2616",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.00 kg\n  Factor of Safety: 1.36\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": 252.00449935996568,
      "fos_buckling": 1.36327591750292,
      "fos_yielding": 7.736155676354523,
      "deflection": 0.011520505315461066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2615",
      "improvement_over_parent": null
    },
    "node_2617": {
      "node_id": "node_2617",
      "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47008626346263,
      "fos_buckling": 1.534510192367523,
      "fos_yielding": 7.744367682050385,
      "deflection": 0.011487037874313398,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.435)"
      },
      "parent_node_id": "node_2616",
      "improvement_over_parent": null
    },
    "node_2618": {
      "node_id": "node_2618",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2617",
      "improvement_over_parent": null
    },
    "node_2619": {
      "node_id": "node_2619",
      "content": "INITIAL DESIGN (Trace 370)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 145.34 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.33710124455595,
      "fos_buckling": 0.568283592996019,
      "fos_yielding": 4.0515966799586005,
      "deflection": 0.021141416248974705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2620": {
      "node_id": "node_2620",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 148.01 kg\n  Factor of Safety: 0.57\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": 148.01172695567206,
      "fos_buckling": 0.5681370144171062,
      "fos_yielding": 4.050558634102772,
      "deflection": 0.020748494126464036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.225)"
      },
      "parent_node_id": "node_2619",
      "improvement_over_parent": null
    },
    "node_2621": {
      "node_id": "node_2621",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n\nPerformance:\n  Mass: 159.37 kg\n  Factor of Safety: 0.33\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": 159.37338177991114,
      "fos_buckling": 0.32602489211982283,
      "fos_yielding": 4.0373763884134135,
      "deflection": 0.019672381605413746,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004221)"
      },
      "parent_node_id": "node_2620",
      "improvement_over_parent": null
    },
    "node_2622": {
      "node_id": "node_2622",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n\nPerformance:\n  Mass: 180.20 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.2025757244525,
      "fos_buckling": 0.36158674790717316,
      "fos_yielding": 4.543447624572002,
      "deflection": 0.017445357157990157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_2621",
      "improvement_over_parent": null
    },
    "node_2623": {
      "node_id": "node_2623",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 233.73 kg\n  Factor of Safety: 0.45\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": 233.7282323350277,
      "fos_buckling": 0.4458297659804359,
      "fos_yielding": 5.822226593123846,
      "deflection": 0.01354307050563531,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_2622",
      "improvement_over_parent": null
    },
    "node_2624": {
      "node_id": "node_2624",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.34 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.34375839139503,
      "fos_buckling": 1.5342192130886512,
      "fos_yielding": 7.739443101512909,
      "deflection": 0.01149320083714602,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2623",
      "improvement_over_parent": null
    },
    "node_2625": {
      "node_id": "node_2625",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2624",
      "improvement_over_parent": null
    },
    "node_2626": {
      "node_id": "node_2626",
      "content": "INITIAL DESIGN (Trace 371)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 198.77 kg\n  Factor of Safety: 0.80\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": 198.76680667889167,
      "fos_buckling": 0.7958175586798908,
      "fos_yielding": 4.574479508883688,
      "deflection": 0.014799982178459379,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2627": {
      "node_id": "node_2627",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 231.04 kg\n  Factor of Safety: 0.90\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": 231.0353486939138,
      "fos_buckling": 0.9017325626820406,
      "fos_yielding": 5.30741544262623,
      "deflection": 0.01277535821525608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_2626",
      "improvement_over_parent": null
    },
    "node_2628": {
      "node_id": "node_2628",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 247.71 kg\n  Factor of Safety: 1.24\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": 247.70563250017085,
      "fos_buckling": 1.244829322244181,
      "fos_yielding": 7.984972885338793,
      "deflection": 0.01187331342714917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2627",
      "improvement_over_parent": null
    },
    "node_2629": {
      "node_id": "node_2629",
      "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 248.28 kg\n  Factor of Safety: 1.41\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": 248.28315209142056,
      "fos_buckling": 1.4109627921921122,
      "fos_yielding": 7.996686718152675,
      "deflection": 0.011826814831383044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.597)"
      },
      "parent_node_id": "node_2628",
      "improvement_over_parent": null
    },
    "node_2630": {
      "node_id": "node_2630",
      "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.42946561160278,
      "fos_buckling": 1.5342383810846785,
      "fos_yielding": 7.741365290190227,
      "deflection": 0.011488599053837884,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.217)"
      },
      "parent_node_id": "node_2629",
      "improvement_over_parent": null
    },
    "node_2631": {
      "node_id": "node_2631",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 372)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 146.57 kg\n  Factor of Safety: 0.30\n  Max Deflection: 7.31e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.57418579781512,
      "fos_buckling": 0.30481529050046824,
      "fos_yielding": 2.1998141208069266,
      "deflection": 0.07306095857338439,
      "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: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n\nPerformance:\n  Mass: 147.09 kg\n  Factor of Safety: 0.34\n  Max Deflection: 4.08e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.09178586247398,
      "fos_buckling": 0.3432593737707961,
      "fos_yielding": 1.3955606122352273,
      "deflection": 0.04079625913238644,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001531)"
      },
      "parent_node_id": "node_2632",
      "improvement_over_parent": null
    },
    "node_2634": {
      "node_id": "node_2634",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n\nPerformance:\n  Mass: 165.55 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.51e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.54844117294124,
      "fos_buckling": 0.5247547350204489,
      "fos_yielding": 2.868683062119033,
      "deflection": 0.025108550042775016,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005832)"
      },
      "parent_node_id": "node_2633",
      "improvement_over_parent": null
    },
    "node_2635": {
      "node_id": "node_2635",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n\nPerformance:\n  Mass: 185.49 kg\n  Factor of Safety: 1.19\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.48826882523346,
      "fos_buckling": 1.1890957699642088,
      "fos_yielding": 5.68541288299819,
      "deflection": 0.015516192584315363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005834)"
      },
      "parent_node_id": "node_2634",
      "improvement_over_parent": null
    },
    "node_2636": {
      "node_id": "node_2636",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n\nPerformance:\n  Mass: 211.45 kg\n  Factor of Safety: 1.33\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": 211.45077154393425,
      "fos_buckling": 1.3281773622636643,
      "fos_yielding": 6.483113030552245,
      "deflection": 0.0136515218304729,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_2635",
      "improvement_over_parent": null
    },
    "node_2637": {
      "node_id": "node_2637",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n  Mass: 252.65 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.64909696555432,
      "fos_buckling": 1.5354283028318803,
      "fos_yielding": 7.749906567532081,
      "deflection": 0.011479151527784233,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_2636",
      "improvement_over_parent": null
    },
    "node_2638": {
      "node_id": "node_2638",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2637",
      "improvement_over_parent": null
    },
    "node_2639": {
      "node_id": "node_2639",
      "content": "INITIAL DESIGN (Trace 373)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 187.70 kg\n  Factor of Safety: 1.09\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": 187.69545474504937,
      "fos_buckling": 1.0930933406354513,
      "fos_yielding": 6.38350620459522,
      "deflection": 0.015584057134724612,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2640": {
      "node_id": "node_2640",
      "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 191.60 kg\n  Factor of Safety: 1.20\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": 191.59834198960047,
      "fos_buckling": 1.1997627133761704,
      "fos_yielding": 6.1193065976625896,
      "deflection": 0.015025031248074737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.271)"
      },
      "parent_node_id": "node_2639",
      "improvement_over_parent": null
    },
    "node_2641": {
      "node_id": "node_2641",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.27 kg\n  Factor of Safety: 1.49\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": 249.27352393645668,
      "fos_buckling": 1.4918156797534758,
      "fos_yielding": 7.961044906519737,
      "deflection": 0.011624578195872978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_2640",
      "improvement_over_parent": null
    },
    "node_2642": {
      "node_id": "node_2642",
      "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.42 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.41583127243675,
      "fos_buckling": 1.5342682285705542,
      "fos_yielding": 7.740438541866569,
      "deflection": 0.011489111265140297,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.214)"
      },
      "parent_node_id": "node_2641",
      "improvement_over_parent": null
    },
    "node_2643": {
      "node_id": "node_2643",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2642",
      "improvement_over_parent": null
    },
    "node_2644": {
      "node_id": "node_2644",
      "content": "INITIAL DESIGN (Trace 374)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 185.08 kg\n  Factor of Safety: 0.72\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": 185.08325492270185,
      "fos_buckling": 0.7202008342901729,
      "fos_yielding": 5.312163150359235,
      "deflection": 0.018873565736294565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2645": {
      "node_id": "node_2645",
      "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 190.71 kg\n  Factor of Safety: 0.72\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": 190.70524958630926,
      "fos_buckling": 0.7200039741779073,
      "fos_yielding": 4.941399829176989,
      "deflection": 0.01869162285276008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.548)"
      },
      "parent_node_id": "node_2644",
      "improvement_over_parent": null
    },
    "node_2646": {
      "node_id": "node_2646",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 211.92 kg\n  Factor of Safety: 0.79\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": 211.92076209654874,
      "fos_buckling": 0.7881212668831225,
      "fos_yielding": 5.484570572401426,
      "deflection": 0.016851864131044513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_2645",
      "improvement_over_parent": null
    },
    "node_2647": {
      "node_id": "node_2647",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 231.19 kg\n  Factor of Safety: 0.90\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": 231.18700291745606,
      "fos_buckling": 0.9019806113685596,
      "fos_yielding": 5.474223915357442,
      "deflection": 0.012838256730306625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_2646",
      "improvement_over_parent": null
    },
    "node_2648": {
      "node_id": "node_2648",
      "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0092)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 235.74 kg\n  Factor of Safety: 0.90\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": 235.73973750097156,
      "fos_buckling": 0.9015749118271245,
      "fos_yielding": 5.471784634720694,
      "deflection": 0.012675869493492545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.220)"
      },
      "parent_node_id": "node_2647",
      "improvement_over_parent": null
    },
    "node_2649": {
      "node_id": "node_2649",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0092)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.41 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.41002130722865,
      "fos_buckling": 1.4193215161121124,
      "fos_yielding": 7.24936217735319,
      "deflection": 0.011629916984992406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2648",
      "improvement_over_parent": null
    },
    "node_2650": {
      "node_id": "node_2650",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2649",
      "improvement_over_parent": null
    },
    "node_2651": {
      "node_id": "node_2651",
      "content": "INITIAL DESIGN (Trace 375)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 160.34 kg\n  Factor of Safety: 0.94\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": 160.3379773780889,
      "fos_buckling": 0.9370889993719597,
      "fos_yielding": 5.325957324649376,
      "deflection": 0.01817225109549776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2652": {
      "node_id": "node_2652",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 163.93 kg\n  Factor of Safety: 0.95\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": 163.93484837738953,
      "fos_buckling": 0.9476490644906301,
      "fos_yielding": 5.092628388223255,
      "deflection": 0.017458074696838632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.295)"
      },
      "parent_node_id": "node_2651",
      "improvement_over_parent": null
    },
    "node_2653": {
      "node_id": "node_2653",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 194.24 kg\n  Factor of Safety: 1.10\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.241394075125,
      "fos_buckling": 1.1007859099123782,
      "fos_yielding": 6.0353452329670185,
      "deflection": 0.01478633699988129,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_2652",
      "improvement_over_parent": null
    },
    "node_2654": {
      "node_id": "node_2654",
      "content": "MODIFICATION: Increase 15 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 196.31 kg\n  Factor of Safety: 1.14\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": 196.30721909585623,
      "fos_buckling": 1.1434803750459737,
      "fos_yielding": 6.023167715968996,
      "deflection": 0.014693101002404304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.178)"
      },
      "parent_node_id": "node_2653",
      "improvement_over_parent": null
    },
    "node_2655": {
      "node_id": "node_2655",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.11 kg\n  Factor of Safety: 1.41\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": 252.11111773719915,
      "fos_buckling": 1.4145854661169304,
      "fos_yielding": 7.7401187238533815,
      "deflection": 0.011513797704267881,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_2654",
      "improvement_over_parent": null
    },
    "node_2656": {
      "node_id": "node_2656",
      "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.52109179307746,
      "fos_buckling": 1.5348462855321074,
      "fos_yielding": 7.747056090023731,
      "deflection": 0.011485552943482483,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.366)"
      },
      "parent_node_id": "node_2655",
      "improvement_over_parent": null
    },
    "node_2657": {
      "node_id": "node_2657",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2656",
      "improvement_over_parent": null
    },
    "node_2658": {
      "node_id": "node_2658",
      "content": "INITIAL DESIGN (Trace 376)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 149.65 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.92e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.6521556765903,
      "fos_buckling": 0.5980428847881564,
      "fos_yielding": 3.501473901478434,
      "deflection": 0.02921882774174272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2659": {
      "node_id": "node_2659",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n  Mass: 150.11 kg\n  Factor of Safety: 0.60\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": 150.11456160038946,
      "fos_buckling": 0.597936333391733,
      "fos_yielding": 3.747967830607015,
      "deflection": 0.02005855804356426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001358)"
      },
      "parent_node_id": "node_2658",
      "improvement_over_parent": null
    },
    "node_2660": {
      "node_id": "node_2660",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n  Mass: 161.79 kg\n  Factor of Safety: 0.87\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": 161.79275682115008,
      "fos_buckling": 0.8731299955921148,
      "fos_yielding": 4.848743206032786,
      "deflection": 0.017635791270866733,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004190)"
      },
      "parent_node_id": "node_2659",
      "improvement_over_parent": null
    },
    "node_2661": {
      "node_id": "node_2661",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n  Mass: 210.70 kg\n  Factor of Safety: 1.11\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": 210.69720096820336,
      "fos_buckling": 1.1148846960979417,
      "fos_yielding": 6.321437995286315,
      "deflection": 0.013616464896563183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_2660",
      "improvement_over_parent": null
    },
    "node_2662": {
      "node_id": "node_2662",
      "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0085)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n  Mass: 217.61 kg\n  Factor of Safety: 1.13\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": 217.61442826276522,
      "fos_buckling": 1.1261387811809513,
      "fos_yielding": 6.299447102833849,
      "deflection": 0.013446836245942218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.490)"
      },
      "parent_node_id": "node_2661",
      "improvement_over_parent": null
    },
    "node_2663": {
      "node_id": "node_2663",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0101)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 254.71 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.7102454295618,
      "fos_buckling": 1.299585113860443,
      "fos_yielding": 7.386108908663684,
      "deflection": 0.011528348518379104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2662",
      "improvement_over_parent": null
    },
    "node_2664": {
      "node_id": "node_2664",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2663",
      "improvement_over_parent": null
    },
    "node_2665": {
      "node_id": "node_2665",
      "content": "INITIAL DESIGN (Trace 377)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 140.43 kg\n  Factor of Safety: 0.23\n  Max Deflection: 9.25e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.4347722644396,
      "fos_buckling": 0.22924897521207563,
      "fos_yielding": 1.311396338818644,
      "deflection": 92539907382892.1,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2666": {
      "node_id": "node_2666",
      "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 144.95 kg\n  Factor of Safety: 0.41\n  Max Deflection: 4.25e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.94926783327654,
      "fos_buckling": 0.4061485996471962,
      "fos_yielding": 1.6949155087519892,
      "deflection": 42524157180073.64,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.541)"
      },
      "parent_node_id": "node_2665",
      "improvement_over_parent": null
    },
    "node_2667": {
      "node_id": "node_2667",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 157.30 kg\n  Factor of Safety: 0.29\n  Max Deflection: 7.34e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.2960369833555,
      "fos_buckling": 0.28977770504144573,
      "fos_yielding": 2.0771690213638587,
      "deflection": 0.07343454763357996,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004445)"
      },
      "parent_node_id": "node_2666",
      "improvement_over_parent": null
    },
    "node_2668": {
      "node_id": "node_2668",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n  Mass: 200.12 kg\n  Factor of Safety: 0.35\n  Max Deflection: 5.81e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.12218809642727,
      "fos_buckling": 0.35456239586961336,
      "fos_yielding": 2.6239826151210535,
      "deflection": 0.0580604671467414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_2667",
      "improvement_over_parent": null
    },
    "node_2669": {
      "node_id": "node_2669",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n  Mass: 222.30 kg\n  Factor of Safety: 1.36\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": 222.3046268084662,
      "fos_buckling": 1.356946664401427,
      "fos_yielding": 6.556260007449158,
      "deflection": 0.013005282989876646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007108)"
      },
      "parent_node_id": "node_2668",
      "improvement_over_parent": null
    },
    "node_2670": {
      "node_id": "node_2670",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n  Mass: 222.93 kg\n  Factor of Safety: 1.39\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": 222.9267198659172,
      "fos_buckling": 1.3875907932427276,
      "fos_yielding": 6.835081740003571,
      "deflection": 0.012965758775482684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001866)"
      },
      "parent_node_id": "node_2669",
      "improvement_over_parent": null
    },
    "node_2671": {
      "node_id": "node_2671",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.34766911047612,
      "fos_buckling": 1.5340094595352989,
      "fos_yielding": 7.739757944549915,
      "deflection": 0.011492503407596928,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_2670",
      "improvement_over_parent": null
    },
    "node_2672": {
      "node_id": "node_2672",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2671",
      "improvement_over_parent": null
    },
    "node_2673": {
      "node_id": "node_2673",
      "content": "INITIAL DESIGN (Trace 378)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 140.52 kg\n  Factor of Safety: 0.32\n  Max Deflection: 4.17e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.52135768646087,
      "fos_buckling": 0.3193668180168566,
      "fos_yielding": 1.2860713406664375,
      "deflection": 0.0416931950881474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2674": {
      "node_id": "node_2674",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 160.85 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.65e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.84991201858344,
      "fos_buckling": 0.3587684037861654,
      "fos_yielding": 1.4678672746177601,
      "deflection": 0.036517227094716824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_2673",
      "improvement_over_parent": null
    },
    "node_2675": {
      "node_id": "node_2675",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 175.76 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.09e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.75622026618123,
      "fos_buckling": 0.35824746017348963,
      "fos_yielding": 1.4657517173152828,
      "deflection": 0.030891264627560262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005398)"
      },
      "parent_node_id": "node_2674",
      "improvement_over_parent": null
    },
    "node_2676": {
      "node_id": "node_2676",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n\nPerformance:\n  Mass: 188.66 kg\n  Factor of Safety: 0.96\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": 188.66442202375973,
      "fos_buckling": 0.964195998300266,
      "fos_yielding": 5.867557463937641,
      "deflection": 0.01585828998154036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.003999)"
      },
      "parent_node_id": "node_2675",
      "improvement_over_parent": null
    },
    "node_2677": {
      "node_id": "node_2677",
      "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n\nPerformance:\n  Mass: 188.76 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.7587410217458,
      "fos_buckling": 0.9665306224341998,
      "fos_yielding": 5.881764680402655,
      "deflection": 0.01585285576407012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.188)"
      },
      "parent_node_id": "node_2676",
      "improvement_over_parent": null
    },
    "node_2678": {
      "node_id": "node_2678",
      "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n\nPerformance:\n  Mass: 189.45 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.45209683002437,
      "fos_buckling": 0.9670128298592373,
      "fos_yielding": 5.88469912503936,
      "deflection": 0.015758134601758338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.541)"
      },
      "parent_node_id": "node_2677",
      "improvement_over_parent": null
    },
    "node_2679": {
      "node_id": "node_2679",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0048)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0025)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n\nPerformance:\n  Mass: 244.97 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.96588805174594,
      "fos_buckling": 1.2162066379810785,
      "fos_yielding": 7.597196164396827,
      "deflection": 0.012252043821256315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_2678",
      "improvement_over_parent": null
    },
    "node_2680": {
      "node_id": "node_2680",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2679",
      "improvement_over_parent": null
    },
    "node_2681": {
      "node_id": "node_2681",
      "content": "INITIAL DESIGN (Trace 379)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 177.26 kg\n  Factor of Safety: 1.15\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": 177.26047515161713,
      "fos_buckling": 1.1463641880044362,
      "fos_yielding": 5.290551844743601,
      "deflection": 0.01617797093210281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2682": {
      "node_id": "node_2682",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 199.38 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.38065689997143,
      "fos_buckling": 1.2670070203306085,
      "fos_yielding": 5.951518832143437,
      "deflection": 0.014419414656676304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_2681",
      "improvement_over_parent": null
    },
    "node_2683": {
      "node_id": "node_2683",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 224.91 kg\n  Factor of Safety: 1.40\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": 224.90701309086197,
      "fos_buckling": 1.400187921924966,
      "fos_yielding": 6.714438523755984,
      "deflection": 0.012820002072547904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_2682",
      "improvement_over_parent": null
    },
    "node_2684": {
      "node_id": "node_2684",
      "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 225.25 kg\n  Factor of Safety: 1.41\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": 225.2531825096601,
      "fos_buckling": 1.4088297797665699,
      "fos_yielding": 6.662595648239749,
      "deflection": 0.012775543006793406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.238)"
      },
      "parent_node_id": "node_2683",
      "improvement_over_parent": null
    },
    "node_2685": {
      "node_id": "node_2685",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n  Mass: 225.89 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.8899899633253,
      "fos_buckling": 1.3309117521891587,
      "fos_yielding": 6.877442117476039,
      "deflection": 0.012751534367581861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001914)"
      },
      "parent_node_id": "node_2684",
      "improvement_over_parent": null
    },
    "node_2686": {
      "node_id": "node_2686",
      "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0070)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n  Mass: 228.48 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.48139514888396,
      "fos_buckling": 1.326149194050883,
      "fos_yielding": 6.888514797004476,
      "deflection": 0.012693957437016967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.178)"
      },
      "parent_node_id": "node_2685",
      "improvement_over_parent": null
    },
    "node_2687": {
      "node_id": "node_2687",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0078)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.59 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.58591750206386,
      "fos_buckling": 1.446297445280527,
      "fos_yielding": 7.619179135480502,
      "deflection": 0.01151276710687956,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_2686",
      "improvement_over_parent": null
    },
    "node_2688": {
      "node_id": "node_2688",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2687",
      "improvement_over_parent": null
    },
    "node_2689": {
      "node_id": "node_2689",
      "content": "INITIAL DESIGN (Trace 380)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 178.84 kg\n  Factor of Safety: 0.69\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": 178.8351739672943,
      "fos_buckling": 0.6923518632904693,
      "fos_yielding": 4.124198712851042,
      "deflection": 0.018926941722314582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2690": {
      "node_id": "node_2690",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n\nPerformance:\n  Mass: 188.96 kg\n  Factor of Safety: 1.07\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": 188.9621002039378,
      "fos_buckling": 1.0746733011795337,
      "fos_yielding": 5.588312864367829,
      "deflection": 0.015114663604108538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003493)"
      },
      "parent_node_id": "node_2689",
      "improvement_over_parent": null
    },
    "node_2691": {
      "node_id": "node_2691",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n  Mass: 189.50 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.5030530750369,
      "fos_buckling": 1.0226509556440353,
      "fos_yielding": 5.69162464068143,
      "deflection": 0.015104524600239554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001605)"
      },
      "parent_node_id": "node_2690",
      "improvement_over_parent": null
    },
    "node_2692": {
      "node_id": "node_2692",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n  Mass: 218.56 kg\n  Factor of Safety: 1.17\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.55554134158547,
      "fos_buckling": 1.1651335467805775,
      "fos_yielding": 6.568477108105503,
      "deflection": 0.01313926296508823,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_2691",
      "improvement_over_parent": null
    },
    "node_2693": {
      "node_id": "node_2693",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 247.05 kg\n  Factor of Safety: 1.30\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": 247.04782638357466,
      "fos_buckling": 1.30108895624916,
      "fos_yielding": 7.429601451352672,
      "deflection": 0.011660876075409148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_2692",
      "improvement_over_parent": null
    },
    "node_2694": {
      "node_id": "node_2694",
      "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0098)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 254.45 kg\n  Factor of Safety: 1.31\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": 254.4467225682981,
      "fos_buckling": 1.3134859411759137,
      "fos_yielding": 7.405123530295015,
      "deflection": 0.011525623265884135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.458)"
      },
      "parent_node_id": "node_2693",
      "improvement_over_parent": null
    },
    "node_2695": {
      "node_id": "node_2695",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2694",
      "improvement_over_parent": null
    },
    "node_2696": {
      "node_id": "node_2696",
      "content": "INITIAL DESIGN (Trace 381)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n  Mass: 163.75 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.74758508918097,
      "fos_buckling": 0.590242412995822,
      "fos_yielding": 4.259589507459936,
      "deflection": 0.023965553647549747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2697": {
      "node_id": "node_2697",
      "content": "MODIFICATION: Increase 11 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n  Mass: 166.48 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.4796406154795,
      "fos_buckling": 0.5864366273157735,
      "fos_yielding": 4.2562617019070395,
      "deflection": 0.023954247426358086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.314)"
      },
      "parent_node_id": "node_2696",
      "improvement_over_parent": null
    },
    "node_2698": {
      "node_id": "node_2698",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n  Mass: 188.45 kg\n  Factor of Safety: 0.65\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": 188.4457175029684,
      "fos_buckling": 0.6528777560621455,
      "fos_yielding": 4.793830631364166,
      "deflection": 0.021206139880770095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2697",
      "improvement_over_parent": null
    },
    "node_2699": {
      "node_id": "node_2699",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 203.60 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.59900231414946,
      "fos_buckling": 0.6754989084976236,
      "fos_yielding": 3.6445369857053103,
      "deflection": 0.019260271927893233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005393)"
      },
      "parent_node_id": "node_2698",
      "improvement_over_parent": null
    },
    "node_2700": {
      "node_id": "node_2700",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n  Mass: 205.67 kg\n  Factor of Safety: 1.30\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": 205.6714033767063,
      "fos_buckling": 1.2977780776571126,
      "fos_yielding": 6.300474861092298,
      "deflection": 0.014025904635431451,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003248)"
      },
      "parent_node_id": "node_2699",
      "improvement_over_parent": null
    },
    "node_2701": {
      "node_id": "node_2701",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.87 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.86506128146735,
      "fos_buckling": 1.5364627622115594,
      "fos_yielding": 7.750498800377766,
      "deflection": 0.01146965527991981,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_2700",
      "improvement_over_parent": null
    },
    "node_2702": {
      "node_id": "node_2702",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2701",
      "improvement_over_parent": null
    },
    "node_2703": {
      "node_id": "node_2703",
      "content": "INITIAL DESIGN (Trace 382)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 223.54 kg\n  Factor of Safety: 0.92\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": 223.53840102276516,
      "fos_buckling": 0.9170519199907379,
      "fos_yielding": 6.818704525158864,
      "deflection": 0.015330489175803543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2704": {
      "node_id": "node_2704",
      "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 229.31 kg\n  Factor of Safety: 0.92\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": 229.3076325564038,
      "fos_buckling": 0.9162836145337389,
      "fos_yielding": 6.812991819278044,
      "deflection": 0.01482443035261445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.311)"
      },
      "parent_node_id": "node_2703",
      "improvement_over_parent": null
    },
    "node_2705": {
      "node_id": "node_2705",
      "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 232.50 kg\n  Factor of Safety: 0.92\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": 232.5013773854943,
      "fos_buckling": 0.9158588475189905,
      "fos_yielding": 6.809833480363458,
      "deflection": 0.014755257058779265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.224)"
      },
      "parent_node_id": "node_2704",
      "improvement_over_parent": null
    },
    "node_2706": {
      "node_id": "node_2706",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 251.77 kg\n  Factor of Safety: 1.50\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": 251.7676182064016,
      "fos_buckling": 1.497522285953924,
      "fos_yielding": 7.427479362305761,
      "deflection": 0.011522164833844191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_2705",
      "improvement_over_parent": null
    },
    "node_2707": {
      "node_id": "node_2707",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47193905332264,
      "fos_buckling": 1.5345728930511824,
      "fos_yielding": 7.74433462028782,
      "deflection": 0.011487310224916341,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_2706",
      "improvement_over_parent": null
    },
    "node_2708": {
      "node_id": "node_2708",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2707",
      "improvement_over_parent": null
    },
    "node_2709": {
      "node_id": "node_2709",
      "content": "INITIAL DESIGN (Trace 383)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 101.42 kg\n  Factor of Safety: 0.23\n  Max Deflection: 6.15e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 101.41791615771669,
      "fos_buckling": 0.23367881256260128,
      "fos_yielding": 0.6200671035468808,
      "deflection": 0.061537164467486964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2710": {
      "node_id": "node_2710",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 128.57 kg\n  Factor of Safety: 0.29\n  Max Deflection: 4.87e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.57462144507818,
      "fos_buckling": 0.28923224810474185,
      "fos_yielding": 0.7828389569187373,
      "deflection": 0.04873355779151209,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_2709",
      "improvement_over_parent": null
    },
    "node_2711": {
      "node_id": "node_2711",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n\nPerformance:\n  Mass: 137.48 kg\n  Factor of Safety: 0.29\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": 137.4834540088859,
      "fos_buckling": 0.2891062830059179,
      "fos_yielding": 1.1510249453488124,
      "deflection": 0.0392837160886571,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003634)"
      },
      "parent_node_id": "node_2710",
      "improvement_over_parent": null
    },
    "node_2712": {
      "node_id": "node_2712",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n  Mass: 165.08 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.28e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.08229957793924,
      "fos_buckling": 0.3391488793987698,
      "fos_yielding": 1.3768385986338607,
      "deflection": 0.032830465700578876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_2711",
      "improvement_over_parent": null
    },
    "node_2713": {
      "node_id": "node_2713",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n\nPerformance:\n  Mass: 183.33 kg\n  Factor of Safety: 1.18\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.33131706150198,
      "fos_buckling": 1.1771466494308103,
      "fos_yielding": 5.618313545573544,
      "deflection": 0.0156947244071415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005762)"
      },
      "parent_node_id": "node_2712",
      "improvement_over_parent": null
    },
    "node_2714": {
      "node_id": "node_2714",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n\nPerformance:\n  Mass: 207.50 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.5022243444944,
      "fos_buckling": 1.3073458402180342,
      "fos_yielding": 6.3608106625036545,
      "deflection": 0.01390489897787323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2713",
      "improvement_over_parent": null
    },
    "node_2715": {
      "node_id": "node_2715",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47522415900644,
      "fos_buckling": 1.5344774659269558,
      "fos_yielding": 7.743417256235992,
      "deflection": 0.011486725590430824,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_2714",
      "improvement_over_parent": null
    },
    "node_2716": {
      "node_id": "node_2716",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2715",
      "improvement_over_parent": null
    },
    "node_2717": {
      "node_id": "node_2717",
      "content": "INITIAL DESIGN (Trace 384)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 215.55 kg\n  Factor of Safety: 1.25\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": 215.55480938130125,
      "fos_buckling": 1.2468169616925562,
      "fos_yielding": 5.158029399646835,
      "deflection": 0.013477660190551025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2718": {
      "node_id": "node_2718",
      "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 215.95 kg\n  Factor of Safety: 1.23\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": 215.95214692584747,
      "fos_buckling": 1.2346889592574954,
      "fos_yielding": 5.107856362993474,
      "deflection": 0.013421952615776332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.297)"
      },
      "parent_node_id": "node_2717",
      "improvement_over_parent": null
    },
    "node_2719": {
      "node_id": "node_2719",
      "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 216.52 kg\n  Factor of Safety: 1.29\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": 216.52130369236423,
      "fos_buckling": 1.290952528521247,
      "fos_yielding": 6.692089529782691,
      "deflection": 0.01328525572505423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.376)"
      },
      "parent_node_id": "node_2718",
      "improvement_over_parent": null
    },
    "node_2720": {
      "node_id": "node_2720",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 250.06 kg\n  Factor of Safety: 1.46\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.05741809442273,
      "fos_buckling": 1.4558618232429092,
      "fos_yielding": 7.730705563547841,
      "deflection": 0.011548274132200031,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_2719",
      "improvement_over_parent": null
    },
    "node_2721": {
      "node_id": "node_2721",
      "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.55275260263463,
      "fos_buckling": 1.5349668329969763,
      "fos_yielding": 7.7474644483141155,
      "deflection": 0.01148339332862189,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.224)"
      },
      "parent_node_id": "node_2720",
      "improvement_over_parent": null
    },
    "node_2722": {
      "node_id": "node_2722",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 385)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_2724": {
      "node_id": "node_2724",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 214.71 kg\n  Factor of Safety: 0.85\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.71167959499098,
      "fos_buckling": 0.8458423426102611,
      "fos_yielding": 6.815698756504969,
      "deflection": 0.020641487320421113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_2723",
      "improvement_over_parent": null
    },
    "node_2725": {
      "node_id": "node_2725",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 215.42 kg\n  Factor of Safety: 0.85\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": 215.41600044191202,
      "fos_buckling": 0.845616065972337,
      "fos_yielding": 5.377748025362341,
      "deflection": 0.01636296600979223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_2724",
      "improvement_over_parent": null
    },
    "node_2726": {
      "node_id": "node_2726",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 234.68 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.68224126281933,
      "fos_buckling": 0.8440718921573701,
      "fos_yielding": 5.043627791752772,
      "deflection": 0.013143162718259707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_2725",
      "improvement_over_parent": null
    },
    "node_2727": {
      "node_id": "node_2727",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47371695122376,
      "fos_buckling": 1.534573719219384,
      "fos_yielding": 7.744456960318407,
      "deflection": 0.011486919087280497,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_2726",
      "improvement_over_parent": null
    },
    "node_2728": {
      "node_id": "node_2728",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2727",
      "improvement_over_parent": null
    },
    "node_2729": {
      "node_id": "node_2729",
      "content": "INITIAL DESIGN (Trace 386)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 216.95 kg\n  Factor of Safety: 0.90\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": 216.9450276931093,
      "fos_buckling": 0.902671224352387,
      "fos_yielding": 3.996083294171815,
      "deflection": 0.015172160743692445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2730": {
      "node_id": "node_2730",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 233.62 kg\n  Factor of Safety: 1.13\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": 233.61531149936638,
      "fos_buckling": 1.126060385109631,
      "fos_yielding": 5.577168028882717,
      "deflection": 0.013305960334703321,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2729",
      "improvement_over_parent": null
    },
    "node_2731": {
      "node_id": "node_2731",
      "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 242.68 kg\n  Factor of Safety: 1.12\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": 242.677554581585,
      "fos_buckling": 1.1191402696316441,
      "fos_yielding": 5.542893981673209,
      "deflection": 0.012291261881722233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.582)"
      },
      "parent_node_id": "node_2730",
      "improvement_over_parent": null
    },
    "node_2732": {
      "node_id": "node_2732",
      "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 242.89 kg\n  Factor of Safety: 1.12\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": 242.89440343556578,
      "fos_buckling": 1.1188573611813488,
      "fos_yielding": 5.541492788642221,
      "deflection": 0.012288146099338905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.488)"
      },
      "parent_node_id": "node_2731",
      "improvement_over_parent": null
    },
    "node_2733": {
      "node_id": "node_2733",
      "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 243.65 kg\n  Factor of Safety: 1.21\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": 243.64512706768153,
      "fos_buckling": 1.2132065249045172,
      "fos_yielding": 7.103353688677759,
      "deflection": 0.012158783215650894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.597)"
      },
      "parent_node_id": "node_2732",
      "improvement_over_parent": null
    },
    "node_2734": {
      "node_id": "node_2734",
      "content": "MODIFICATION: Increase 10 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4783110207194,
      "fos_buckling": 1.5347983256071591,
      "fos_yielding": 7.744484448152319,
      "deflection": 0.011486729678888865,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.529)"
      },
      "parent_node_id": "node_2733",
      "improvement_over_parent": null
    },
    "node_2735": {
      "node_id": "node_2735",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2734",
      "improvement_over_parent": null
    },
    "node_2736": {
      "node_id": "node_2736",
      "content": "INITIAL DESIGN (Trace 387)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 213.66 kg\n  Factor of Safety: 0.68\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": 213.6585990797275,
      "fos_buckling": 0.6785125854143236,
      "fos_yielding": 3.8801274469365126,
      "deflection": 0.01945821796616818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2737": {
      "node_id": "node_2737",
      "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 216.50 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.502369404139,
      "fos_buckling": 0.6784190426023197,
      "fos_yielding": 3.8795959686285073,
      "deflection": 0.019387062651304562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.209)"
      },
      "parent_node_id": "node_2736",
      "improvement_over_parent": null
    },
    "node_2738": {
      "node_id": "node_2738",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 243.64 kg\n  Factor of Safety: 1.19\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": 243.64089297252144,
      "fos_buckling": 1.1870459241559608,
      "fos_yielding": 7.388637103981797,
      "deflection": 0.012375128604666124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2737",
      "improvement_over_parent": null
    },
    "node_2739": {
      "node_id": "node_2739",
      "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.48264324023302,
      "fos_buckling": 1.5345010367479344,
      "fos_yielding": 7.743712511445477,
      "deflection": 0.011486099178410928,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.595)"
      },
      "parent_node_id": "node_2738",
      "improvement_over_parent": null
    },
    "node_2740": {
      "node_id": "node_2740",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2739",
      "improvement_over_parent": null
    },
    "node_2741": {
      "node_id": "node_2741",
      "content": "INITIAL DESIGN (Trace 388)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 191.88 kg\n  Factor of Safety: 0.94\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": 191.88018604505072,
      "fos_buckling": 0.9418033266519114,
      "fos_yielding": 4.567518999632658,
      "deflection": 0.015378260076284907,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2742": {
      "node_id": "node_2742",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 192.45 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.45026997690917,
      "fos_buckling": 0.9379714896444512,
      "fos_yielding": 4.548935514270285,
      "deflection": 0.015273803753813946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001698)"
      },
      "parent_node_id": "node_2741",
      "improvement_over_parent": null
    },
    "node_2743": {
      "node_id": "node_2743",
      "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 198.48 kg\n  Factor of Safety: 1.06\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": 198.48105661990684,
      "fos_buckling": 1.0609390703385806,
      "fos_yielding": 5.145298624555714,
      "deflection": 0.014471546839763247,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.534)"
      },
      "parent_node_id": "node_2742",
      "improvement_over_parent": null
    },
    "node_2744": {
      "node_id": "node_2744",
      "content": "MODIFICATION: Increase 6 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 199.09 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.09182187767902,
      "fos_buckling": 1.2240995330448803,
      "fos_yielding": 6.225456981774,
      "deflection": 0.014348821204755429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.590)"
      },
      "parent_node_id": "node_2743",
      "improvement_over_parent": null
    },
    "node_2745": {
      "node_id": "node_2745",
      "content": "MODIFICATION: Increase 14 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0086)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 207.17 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.16767110667956,
      "fos_buckling": 1.2896345384588401,
      "fos_yielding": 6.197264715366721,
      "deflection": 0.014103230124728857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.605)"
      },
      "parent_node_id": "node_2744",
      "improvement_over_parent": null
    },
    "node_2746": {
      "node_id": "node_2746",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0108)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 255.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.7575541682498,
      "fos_buckling": 1.533603791195005,
      "fos_yielding": 7.66460653549019,
      "deflection": 0.011476785449601214,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_2745",
      "improvement_over_parent": null
    },
    "node_2747": {
      "node_id": "node_2747",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2746",
      "improvement_over_parent": null
    },
    "node_2748": {
      "node_id": "node_2748",
      "content": "INITIAL DESIGN (Trace 389)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 149.79 kg\n  Factor of Safety: 0.61\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": 149.7892853008383,
      "fos_buckling": 0.6112571809997724,
      "fos_yielding": 3.493063046552337,
      "deflection": 0.019581661120692446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2749": {
      "node_id": "node_2749",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 188.29 kg\n  Factor of Safety: 0.75\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": 188.28800962929694,
      "fos_buckling": 0.7467834375233703,
      "fos_yielding": 4.382084278053399,
      "deflection": 0.015639887494963995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_2748",
      "improvement_over_parent": null
    },
    "node_2750": {
      "node_id": "node_2750",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n  Mass: 201.59 kg\n  Factor of Safety: 1.28\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": 201.5892650016428,
      "fos_buckling": 1.2761652001984882,
      "fos_yielding": 6.1807253328708285,
      "deflection": 0.014302884103566236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004995)"
      },
      "parent_node_id": "node_2749",
      "improvement_over_parent": null
    },
    "node_2751": {
      "node_id": "node_2751",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.81 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.81116372693023,
      "fos_buckling": 1.5362607916516846,
      "fos_yielding": 7.755704040029139,
      "deflection": 0.01147173632842696,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_2750",
      "improvement_over_parent": null
    },
    "node_2752": {
      "node_id": "node_2752",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2751",
      "improvement_over_parent": null
    },
    "node_2753": {
      "node_id": "node_2753",
      "content": "INITIAL DESIGN (Trace 390)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 193.50 kg\n  Factor of Safety: 0.35\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": 193.49715782684595,
      "fos_buckling": 0.35301256660601915,
      "fos_yielding": 4.547698256063673,
      "deflection": 0.016772168845037613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2754": {
      "node_id": "node_2754",
      "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 197.70 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.70231203451013,
      "fos_buckling": 0.3525725704707563,
      "fos_yielding": 4.546373889031677,
      "deflection": 0.01576933322259822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.266)"
      },
      "parent_node_id": "node_2753",
      "improvement_over_parent": null
    },
    "node_2755": {
      "node_id": "node_2755",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n  Mass: 213.65 kg\n  Factor of Safety: 1.34\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": 213.6504832720981,
      "fos_buckling": 1.339580875039033,
      "fos_yielding": 6.549780767247404,
      "deflection": 0.013513977702796004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005658)"
      },
      "parent_node_id": "node_2754",
      "improvement_over_parent": null
    },
    "node_2756": {
      "node_id": "node_2756",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3612534453773,
      "fos_buckling": 1.5339551095463482,
      "fos_yielding": 7.739954306575095,
      "deflection": 0.011491549807165755,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_2755",
      "improvement_over_parent": null
    },
    "node_2757": {
      "node_id": "node_2757",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2756",
      "improvement_over_parent": null
    },
    "node_2758": {
      "node_id": "node_2758",
      "content": "INITIAL DESIGN (Trace 391)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 127.14 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.80e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.1400395276095,
      "fos_buckling": 0.2713203193951924,
      "fos_yielding": 3.5716210062261484,
      "deflection": 0.02798928846682867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2759": {
      "node_id": "node_2759",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n\nPerformance:\n  Mass: 141.69 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.32e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.6862676384915,
      "fos_buckling": 0.2709296265785906,
      "fos_yielding": 3.371088136021489,
      "deflection": 0.023223796864674406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004549)"
      },
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n\nPerformance:\n  Mass: 145.75 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.13e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.74714343144055,
      "fos_buckling": 0.27060328175157305,
      "fos_yielding": 3.3701460752650094,
      "deflection": 0.021305103089482576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.368)"
      },
      "parent_node_id": "node_2759",
      "improvement_over_parent": null
    },
    "node_2761": {
      "node_id": "node_2761",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n\nPerformance:\n  Mass: 185.00 kg\n  Factor of Safety: 0.33\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.99934968574928,
      "fos_buckling": 0.33352659285611147,
      "fos_yielding": 4.279395036267692,
      "deflection": 0.016847847381108144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_2760",
      "improvement_over_parent": null
    },
    "node_2762": {
      "node_id": "node_2762",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 233.37 kg\n  Factor of Safety: 0.41\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": 233.3680576057289,
      "fos_buckling": 0.40527449513497155,
      "fos_yielding": 5.40070848635937,
      "deflection": 0.013417561706532279,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_2761",
      "improvement_over_parent": null
    },
    "node_2763": {
      "node_id": "node_2763",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.22 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.2161056210411,
      "fos_buckling": 1.524321573572471,
      "fos_yielding": 7.796255859583342,
      "deflection": 0.011516830616700089,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_2762",
      "improvement_over_parent": null
    },
    "node_2764": {
      "node_id": "node_2764",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.53846365447708,
      "fos_buckling": 1.5348110997294813,
      "fos_yielding": 7.745139361411439,
      "deflection": 0.011483601769793626,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.196)"
      },
      "parent_node_id": "node_2763",
      "improvement_over_parent": null
    },
    "node_2765": {
      "node_id": "node_2765",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2764",
      "improvement_over_parent": null
    },
    "node_2766": {
      "node_id": "node_2766",
      "content": "INITIAL DESIGN (Trace 392)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 198.36 kg\n  Factor of Safety: 0.62\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.359922509406,
      "fos_buckling": 0.6206151776141322,
      "fos_yielding": 3.4863819765011925,
      "deflection": 0.02109025661816759,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2767": {
      "node_id": "node_2767",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n  Mass: 222.69 kg\n  Factor of Safety: 1.40\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.69265290321655,
      "fos_buckling": 1.4035470989562053,
      "fos_yielding": 6.72796289940514,
      "deflection": 0.01318753746844176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007229)"
      },
      "parent_node_id": "node_2766",
      "improvement_over_parent": null
    },
    "node_2768": {
      "node_id": "node_2768",
      "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n  Mass: 226.37 kg\n  Factor of Safety: 1.41\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": 226.36905757456432,
      "fos_buckling": 1.4050669765802162,
      "fos_yielding": 6.941603525135914,
      "deflection": 0.012773704562739583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.202)"
      },
      "parent_node_id": "node_2767",
      "improvement_over_parent": null
    },
    "node_2769": {
      "node_id": "node_2769",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.33 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3264864923028,
      "fos_buckling": 1.5338110446507902,
      "fos_yielding": 7.739882659807222,
      "deflection": 0.011493532110656594,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_2768",
      "improvement_over_parent": null
    },
    "node_2770": {
      "node_id": "node_2770",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 393)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 178.88 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.97e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.87554272053762,
      "fos_buckling": 0.37396238117857933,
      "fos_yielding": 1.5703958669794418,
      "deflection": 0.02966570121045753,
      "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: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n  Mass: 199.33 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.32876769537953,
      "fos_buckling": 1.2558892902216099,
      "fos_yielding": 6.519121077072291,
      "deflection": 0.014385864799768326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006511)"
      },
      "parent_node_id": "node_2771",
      "improvement_over_parent": null
    },
    "node_2773": {
      "node_id": "node_2773",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 244.83 kg\n  Factor of Safety: 1.49\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": 244.83260634836643,
      "fos_buckling": 1.490447956812838,
      "fos_yielding": 8.004498246089835,
      "deflection": 0.01177403174048338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_2772",
      "improvement_over_parent": null
    },
    "node_2774": {
      "node_id": "node_2774",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 248.07 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 248.06901310926938,
      "fos_buckling": 1.5152969187320373,
      "fos_yielding": 7.7735602075113155,
      "deflection": 0.011633558695403712,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.222)"
      },
      "parent_node_id": "node_2773",
      "improvement_over_parent": null
    },
    "node_2775": {
      "node_id": "node_2775",
      "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.33 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.33090371037244,
      "fos_buckling": 1.5338093683485943,
      "fos_yielding": 7.741188284061746,
      "deflection": 0.011493047382798275,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.420)"
      },
      "parent_node_id": "node_2774",
      "improvement_over_parent": null
    },
    "node_2776": {
      "node_id": "node_2776",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2775",
      "improvement_over_parent": null
    },
    "node_2777": {
      "node_id": "node_2777",
      "content": "INITIAL DESIGN (Trace 394)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 211.35 kg\n  Factor of Safety: 1.10\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": 211.35001862455735,
      "fos_buckling": 1.1033120152074167,
      "fos_yielding": 6.816893438067809,
      "deflection": 0.013695515696125492,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2778": {
      "node_id": "node_2778",
      "content": "MODIFICATION: Increase 11 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 214.66 kg\n  Factor of Safety: 1.10\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": 214.6630678431987,
      "fos_buckling": 1.1033095200711582,
      "fos_yielding": 6.620134611328698,
      "deflection": 0.01350283055986885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.206)"
      },
      "parent_node_id": "node_2777",
      "improvement_over_parent": null
    },
    "node_2779": {
      "node_id": "node_2779",
      "content": "MODIFICATION: Increase 15 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 220.78 kg\n  Factor of Safety: 1.42\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": 220.77500778579534,
      "fos_buckling": 1.4171640120839717,
      "fos_yielding": 6.57860234944645,
      "deflection": 0.013247254058277008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.631)"
      },
      "parent_node_id": "node_2778",
      "improvement_over_parent": null
    },
    "node_2780": {
      "node_id": "node_2780",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 247.74 kg\n  Factor of Safety: 1.56\n  Max Deflection: 1.18e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 247.743068618894,
      "fos_buckling": 1.5562878545593748,
      "fos_yielding": 7.3856587829431835,
      "deflection": 0.011839497880724156,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_2779",
      "improvement_over_parent": null
    },
    "node_2781": {
      "node_id": "node_2781",
      "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.56129178181467,
      "fos_buckling": 1.5351446647963203,
      "fos_yielding": 7.7464257443333855,
      "deflection": 0.01148344044740014,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.300)"
      },
      "parent_node_id": "node_2780",
      "improvement_over_parent": null
    },
    "node_2782": {
      "node_id": "node_2782",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2781",
      "improvement_over_parent": null
    },
    "node_2783": {
      "node_id": "node_2783",
      "content": "INITIAL DESIGN (Trace 395)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 134.12 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.69e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.12377036511506,
      "fos_buckling": 0.6126255742050001,
      "fos_yielding": 2.8460892047488158,
      "deflection": 0.02687130920108946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2784": {
      "node_id": "node_2784",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 159.71 kg\n  Factor of Safety: 0.71\n  Max Deflection: 2.26e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.7065368784914,
      "fos_buckling": 0.7128059305317826,
      "fos_yielding": 3.3916381320300824,
      "deflection": 0.022609643556894727,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_2783",
      "improvement_over_parent": null
    },
    "node_2785": {
      "node_id": "node_2785",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n\nPerformance:\n  Mass: 176.88 kg\n  Factor of Safety: 1.11\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": 176.87720110347672,
      "fos_buckling": 1.1141877323108353,
      "fos_yielding": 5.464468979589946,
      "deflection": 0.016454155126238903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005425)"
      },
      "parent_node_id": "node_2784",
      "improvement_over_parent": null
    },
    "node_2786": {
      "node_id": "node_2786",
      "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n\nPerformance:\n  Mass: 182.33 kg\n  Factor of Safety: 1.12\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": 182.33021647706119,
      "fos_buckling": 1.1201701346562418,
      "fos_yielding": 5.9402423846688714,
      "deflection": 0.015625060131638373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.524)"
      },
      "parent_node_id": "node_2785",
      "improvement_over_parent": null
    },
    "node_2787": {
      "node_id": "node_2787",
      "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0073)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n\nPerformance:\n  Mass: 188.53 kg\n  Factor of Safety: 1.20\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": 188.53133100085407,
      "fos_buckling": 1.1973094082518836,
      "fos_yielding": 6.171782947205641,
      "deflection": 0.015371191365608987,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.493)"
      },
      "parent_node_id": "node_2786",
      "improvement_over_parent": null
    },
    "node_2788": {
      "node_id": "node_2788",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0083)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n\nPerformance:\n  Mass: 213.62 kg\n  Factor of Safety: 1.33\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": 213.6158611161327,
      "fos_buckling": 1.330796936829892,
      "fos_yielding": 6.9910353249959405,
      "deflection": 0.013602089521577404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_2787",
      "improvement_over_parent": null
    },
    "node_2789": {
      "node_id": "node_2789",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0101)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n\nPerformance:\n  Mass: 255.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.6401863269365,
      "fos_buckling": 1.5411358103855055,
      "fos_yielding": 8.362213551590749,
      "deflection": 0.011416002712213026,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2788",
      "improvement_over_parent": null
    },
    "node_2790": {
      "node_id": "node_2790",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2789",
      "improvement_over_parent": null
    },
    "node_2791": {
      "node_id": "node_2791",
      "content": "INITIAL DESIGN (Trace 396)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 187.50 kg\n  Factor of Safety: 0.27\n  Max Deflection: 6.64e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.5037146603877,
      "fos_buckling": 0.26907075400178576,
      "fos_yielding": 1.6949155087519892,
      "deflection": 66391450164535.6,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2792": {
      "node_id": "node_2792",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 206.12 kg\n  Factor of Safety: 0.53\n  Max Deflection: 5.33e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.119240716755,
      "fos_buckling": 0.5278239380743426,
      "fos_yielding": 0.8474577543759946,
      "deflection": 53322302639480.89,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2791",
      "improvement_over_parent": null
    },
    "node_2793": {
      "node_id": "node_2793",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 222.79 kg\n  Factor of Safety: 0.30\n  Max Deflection: 5.25e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.78952452301206,
      "fos_buckling": 0.2996360040377997,
      "fos_yielding": 1.1659667364290374,
      "deflection": 0.05251833840985559,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2792",
      "improvement_over_parent": null
    },
    "node_2794": {
      "node_id": "node_2794",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 249.93 kg\n  Factor of Safety: 0.80\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": 249.92804809139452,
      "fos_buckling": 0.8024297187809,
      "fos_yielding": 4.471611880596481,
      "deflection": 0.015748432480521976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2793",
      "improvement_over_parent": null
    },
    "node_2795": {
      "node_id": "node_2795",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47404025245666,
      "fos_buckling": 1.5345046928593604,
      "fos_yielding": 7.743837233118588,
      "deflection": 0.011486976910635613,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_2794",
      "improvement_over_parent": null
    },
    "node_2796": {
      "node_id": "node_2796",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2795",
      "improvement_over_parent": null
    },
    "node_2797": {
      "node_id": "node_2797",
      "content": "INITIAL DESIGN (Trace 397)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 202.16 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.1619483098122,
      "fos_buckling": 0.40335331639142863,
      "fos_yielding": 3.8798279803895763,
      "deflection": 0.020587811446432486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2798": {
      "node_id": "node_2798",
      "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 206.51 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.51391487737487,
      "fos_buckling": 0.4031255924532703,
      "fos_yielding": 3.8782019937310084,
      "deflection": 0.02059578258786836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.264)"
      },
      "parent_node_id": "node_2797",
      "improvement_over_parent": null
    },
    "node_2799": {
      "node_id": "node_2799",
      "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 206.62 kg\n  Factor of Safety: 0.46\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": 206.616050531981,
      "fos_buckling": 0.45863821575367925,
      "fos_yielding": 3.8781638500600604,
      "deflection": 0.020577482327915328,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.221)"
      },
      "parent_node_id": "node_2798",
      "improvement_over_parent": null
    },
    "node_2800": {
      "node_id": "node_2800",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 233.75 kg\n  Factor of Safety: 0.40\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": 233.75457410036344,
      "fos_buckling": 0.4001361753817966,
      "fos_yielding": 5.825121124831368,
      "deflection": 0.01355390711332713,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2799",
      "improvement_over_parent": null
    },
    "node_2801": {
      "node_id": "node_2801",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 233.86 kg\n  Factor of Safety: 0.45\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": 233.85805192202756,
      "fos_buckling": 0.44621166629160625,
      "fos_yielding": 5.824894760613052,
      "deflection": 0.013535596730913813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.189)"
      },
      "parent_node_id": "node_2800",
      "improvement_over_parent": null
    },
    "node_2802": {
      "node_id": "node_2802",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47357797839487,
      "fos_buckling": 1.5345116957132612,
      "fos_yielding": 7.744484997210733,
      "deflection": 0.011486966968170292,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2801",
      "improvement_over_parent": null
    },
    "node_2803": {
      "node_id": "node_2803",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2802",
      "improvement_over_parent": null
    },
    "node_2804": {
      "node_id": "node_2804",
      "content": "INITIAL DESIGN (Trace 398)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0024)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0015)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0029)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0026)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0025)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0026)]\n\nPerformance:\n  Mass: 84.00 kg\n  Factor of Safety: 0.31\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": 83.99895798315883,
      "fos_buckling": 0.30658876984220856,
      "fos_yielding": 1.588808569389926,
      "deflection": 0.047556023112117415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2805": {
      "node_id": "node_2805",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 101.58 kg\n  Factor of Safety: 0.37\n  Max Deflection: 3.94e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 101.57914425030626,
      "fos_buckling": 0.36503764502911684,
      "fos_yielding": 1.9169587512095938,
      "deflection": 0.03939623148220457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_2804",
      "improvement_over_parent": null
    },
    "node_2806": {
      "node_id": "node_2806",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 123.50 kg\n  Factor of Safety: 0.44\n  Max Deflection: 3.25e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.4991259705869,
      "fos_buckling": 0.435176612411802,
      "fos_yielding": 2.324028984180531,
      "deflection": 0.032476236195126885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_2805",
      "improvement_over_parent": null
    },
    "node_2807": {
      "node_id": "node_2807",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 140.04 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.87e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.03807182159525,
      "fos_buckling": 0.48609681037843744,
      "fos_yielding": 2.6296479113094353,
      "deflection": 0.02868891739403302,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2806",
      "improvement_over_parent": null
    },
    "node_2808": {
      "node_id": "node_2808",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 180.06 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.0636307314379,
      "fos_buckling": 0.6022610747694924,
      "fos_yielding": 3.3639087676594106,
      "deflection": 0.02240255628459122,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_2807",
      "improvement_over_parent": null
    },
    "node_2809": {
      "node_id": "node_2809",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 208.75 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.74706786228114,
      "fos_buckling": 0.6794072411481884,
      "fos_yielding": 3.885484641235641,
      "deflection": 0.019380386566812055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_2808",
      "improvement_over_parent": null
    },
    "node_2810": {
      "node_id": "node_2810",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 235.89 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.8855914306636,
      "fos_buckling": 0.9022138223918386,
      "fos_yielding": 5.476597083596082,
      "deflection": 0.01254528032948813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2809",
      "improvement_over_parent": null
    },
    "node_2811": {
      "node_id": "node_2811",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.55587523692066,
      "fos_buckling": 1.5346338111703257,
      "fos_yielding": 7.747108079632224,
      "deflection": 0.011483289646223551,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2810",
      "improvement_over_parent": null
    },
    "node_2812": {
      "node_id": "node_2812",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2811",
      "improvement_over_parent": null
    },
    "node_2813": {
      "node_id": "node_2813",
      "content": "INITIAL DESIGN (Trace 399)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 165.77 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.76817150503703,
      "fos_buckling": 0.3403691249856813,
      "fos_yielding": 1.3824057408118118,
      "deflection": 0.03269678665722004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2814": {
      "node_id": "node_2814",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 183.34 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.96e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.3410011016227,
      "fos_buckling": 0.3708232980782075,
      "fos_yielding": 1.525266157896712,
      "deflection": 0.029628402323740383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_2813",
      "improvement_over_parent": null
    },
    "node_2815": {
      "node_id": "node_2815",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n\nPerformance:\n  Mass: 203.59 kg\n  Factor of Safety: 1.29\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": 203.58986250313004,
      "fos_buckling": 1.286807005002512,
      "fos_yielding": 6.242320375332151,
      "deflection": 0.014166322029887816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006441)"
      },
      "parent_node_id": "node_2814",
      "improvement_over_parent": null
    },
    "node_2816": {
      "node_id": "node_2816",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5409568778069,
      "fos_buckling": 1.5349608729148057,
      "fos_yielding": 7.747538323690438,
      "deflection": 0.011484254199794416,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_2815",
      "improvement_over_parent": null
    },
    "node_2817": {
      "node_id": "node_2817",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 400)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 199.76 kg\n  Factor of Safety: 0.72\n  Max Deflection: 2.16e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.7634343876534,
      "fos_buckling": 0.7155243801762753,
      "fos_yielding": 5.295594682637213,
      "deflection": 0.02160023162735239,
      "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 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n\nPerformance:\n  Mass: 221.67 kg\n  Factor of Safety: 0.78\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": 221.66503230652881,
      "fos_buckling": 0.7766020763072438,
      "fos_yielding": 5.844990298610192,
      "deflection": 0.019535525478459215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_2818",
      "improvement_over_parent": null
    },
    "node_2820": {
      "node_id": "node_2820",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 222.37 kg\n  Factor of Safety: 0.45\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": 222.36935315344985,
      "fos_buckling": 0.4509836761425624,
      "fos_yielding": 5.843440146463387,
      "deflection": 0.014749799613182612,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_2819",
      "improvement_over_parent": null
    },
    "node_2821": {
      "node_id": "node_2821",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 240.98 kg\n  Factor of Safety: 1.49\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": 240.98487920981717,
      "fos_buckling": 1.485724765646776,
      "fos_yielding": 7.13212966361243,
      "deflection": 0.012197241814660588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2820",
      "improvement_over_parent": null
    },
    "node_2822": {
      "node_id": "node_2822",
      "content": "MODIFICATION: Increase 14 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0029)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 241.20 kg\n  Factor of Safety: 1.49\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": 241.20114029821013,
      "fos_buckling": 1.48540985534983,
      "fos_yielding": 7.153129406892551,
      "deflection": 0.012194105694101684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.350)"
      },
      "parent_node_id": "node_2821",
      "improvement_over_parent": null
    },
    "node_2823": {
      "node_id": "node_2823",
      "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0029)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 248.51 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.51114811104276,
      "fos_buckling": 1.498414413403419,
      "fos_yielding": 7.7448047754149725,
      "deflection": 0.011588813739655323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.529)"
      },
      "parent_node_id": "node_2822",
      "improvement_over_parent": null
    },
    "node_2824": {
      "node_id": "node_2824",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2823",
      "improvement_over_parent": null
    },
    "node_2825": {
      "node_id": "node_2825",
      "content": "INITIAL DESIGN (Trace 401)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, 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_2826": {
      "node_id": "node_2826",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n\nPerformance:\n  Mass: 185.05 kg\n  Factor of Safety: 0.70\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.0549113085661,
      "fos_buckling": 0.6970460132050113,
      "fos_yielding": 5.127884204133599,
      "deflection": 0.020155343902653767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006503)"
      },
      "parent_node_id": "node_2825",
      "improvement_over_parent": null
    },
    "node_2827": {
      "node_id": "node_2827",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 201.87 kg\n  Factor of Safety: 0.69\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": 201.86843774769451,
      "fos_buckling": 0.6922315570004918,
      "fos_yielding": 5.119731822021449,
      "deflection": 0.019821102647625176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006146)"
      },
      "parent_node_id": "node_2826",
      "improvement_over_parent": null
    },
    "node_2828": {
      "node_id": "node_2828",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 231.27 kg\n  Factor of Safety: 0.78\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": 231.26813676738018,
      "fos_buckling": 0.775094627692258,
      "fos_yielding": 5.826594419350795,
      "deflection": 0.017349470800125787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_2827",
      "improvement_over_parent": null
    },
    "node_2829": {
      "node_id": "node_2829",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 233.81 kg\n  Factor of Safety: 0.45\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": 233.81412892844233,
      "fos_buckling": 0.4459234030580106,
      "fos_yielding": 5.823808927840001,
      "deflection": 0.0135381198277593,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_2828",
      "improvement_over_parent": null
    },
    "node_2830": {
      "node_id": "node_2830",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.42965498480964,
      "fos_buckling": 1.5343519007364923,
      "fos_yielding": 7.743720330339071,
      "deflection": 0.011488938494135015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2829",
      "improvement_over_parent": null
    },
    "node_2831": {
      "node_id": "node_2831",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2830",
      "improvement_over_parent": null
    },
    "node_2832": {
      "node_id": "node_2832",
      "content": "INITIAL DESIGN (Trace 402)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 189.37 kg\n  Factor of Safety: 0.77\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": 189.37061169958042,
      "fos_buckling": 0.7742207979891159,
      "fos_yielding": 4.817367419794923,
      "deflection": 0.01644965010119688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2833": {
      "node_id": "node_2833",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 191.78 kg\n  Factor of Safety: 0.77\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": 191.77850817186726,
      "fos_buckling": 0.7738640062386274,
      "fos_yielding": 4.817723191973154,
      "deflection": 0.016452223636850564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.244)"
      },
      "parent_node_id": "node_2832",
      "improvement_over_parent": null
    },
    "node_2834": {
      "node_id": "node_2834",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 192.20 kg\n  Factor of Safety: 0.77\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": 192.20091247591557,
      "fos_buckling": 0.7738640062386267,
      "fos_yielding": 4.782812864426346,
      "deflection": 0.016396873714250706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.311)"
      },
      "parent_node_id": "node_2833",
      "improvement_over_parent": null
    },
    "node_2835": {
      "node_id": "node_2835",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n  Mass: 208.99 kg\n  Factor of Safety: 0.77\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": 208.9850956812141,
      "fos_buckling": 0.7701530939020035,
      "fos_yielding": 4.5087741085768,
      "deflection": 0.01471205715543738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005980)"
      },
      "parent_node_id": "node_2834",
      "improvement_over_parent": null
    },
    "node_2836": {
      "node_id": "node_2836",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 234.66 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.6609791634611,
      "fos_buckling": 0.8440163830970269,
      "fos_yielding": 5.043834840043042,
      "deflection": 0.013144253158815596,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_2835",
      "improvement_over_parent": null
    },
    "node_2837": {
      "node_id": "node_2837",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.45245485186553,
      "fos_buckling": 1.534454421305002,
      "fos_yielding": 7.743907549493143,
      "deflection": 0.01148789733304092,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_2836",
      "improvement_over_parent": null
    },
    "node_2838": {
      "node_id": "node_2838",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2837",
      "improvement_over_parent": null
    },
    "node_2839": {
      "node_id": "node_2839",
      "content": "INITIAL DESIGN (Trace 403)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 129.42 kg\n  Factor of Safety: 0.21\n  Max Deflection: 7.25e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.42254911847374,
      "fos_buckling": 0.21260434771076134,
      "fos_yielding": 0.7976072982362302,
      "deflection": 7254966147311.018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2840": {
      "node_id": "node_2840",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 155.24 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.66e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.23930692326078,
      "fos_buckling": 0.19939176741858228,
      "fos_yielding": 0.7532957816675507,
      "deflection": 16564919061191.574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_2839",
      "improvement_over_parent": null
    },
    "node_2841": {
      "node_id": "node_2841",
      "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 157.36 kg\n  Factor of Safety: 0.23\n  Max Deflection: 5.23e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.3640470313524,
      "fos_buckling": 0.23457854990421445,
      "fos_yielding": 0.9039549380010609,
      "deflection": 5225353545324.317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.225)"
      },
      "parent_node_id": "node_2840",
      "improvement_over_parent": null
    },
    "node_2842": {
      "node_id": "node_2842",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 175.64 kg\n  Factor of Safety: 0.24\n  Max Deflection: 1.29e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.6386858107419,
      "fos_buckling": 0.24329823172675777,
      "fos_yielding": 0.9685231478582794,
      "deflection": 12854270135984.17,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_2841",
      "improvement_over_parent": null
    },
    "node_2843": {
      "node_id": "node_2843",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n  Mass: 199.77 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.97e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.76684184531516,
      "fos_buckling": 0.4022050835777055,
      "fos_yielding": 1.6770682655316673,
      "deflection": 0.029682845406865648,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007163)"
      },
      "parent_node_id": "node_2842",
      "improvement_over_parent": null
    },
    "node_2844": {
      "node_id": "node_2844",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n  Mass: 224.86 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.65e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.85517361829045,
      "fos_buckling": 0.4427368925448405,
      "fos_yielding": 1.8812578128265027,
      "deflection": 0.02652233919105017,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2843",
      "improvement_over_parent": null
    },
    "node_2845": {
      "node_id": "node_2845",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 227.40 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.4011657793526,
      "fos_buckling": 0.44251836558887553,
      "fos_yielding": 1.8803381074795038,
      "deflection": 0.02402102561118263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_2844",
      "improvement_over_parent": null
    },
    "node_2846": {
      "node_id": "node_2846",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.52330743119944,
      "fos_buckling": 1.5352091753588943,
      "fos_yielding": 7.745080539465734,
      "deflection": 0.011484689920140198,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_2845",
      "improvement_over_parent": null
    },
    "node_2847": {
      "node_id": "node_2847",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2846",
      "improvement_over_parent": null
    },
    "node_2848": {
      "node_id": "node_2848",
      "content": "INITIAL DESIGN (Trace 404)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 130.37 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.44e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.3659904006659,
      "fos_buckling": 0.8541786287677878,
      "fos_yielding": 3.3898310175039783,
      "deflection": 14397898576163.355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2849": {
      "node_id": "node_2849",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n  Mass: 140.19 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.40e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.18835813806666,
      "fos_buckling": 1.1389048383570504,
      "fos_yielding": 11.733172055560939,
      "deflection": 14011775227671.143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004029)"
      },
      "parent_node_id": "node_2848",
      "improvement_over_parent": null
    },
    "node_2850": {
      "node_id": "node_2850",
      "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0080)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n  Mass: 148.90 kg\n  Factor of Safety: 1.14\n  Max Deflection: 9.57e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.9005064273546,
      "fos_buckling": 1.1389048383570504,
      "fos_yielding": 3.3898310175039783,
      "deflection": 9571101546745.998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.527)"
      },
      "parent_node_id": "node_2849",
      "improvement_over_parent": null
    },
    "node_2851": {
      "node_id": "node_2851",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0080)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n\nPerformance:\n  Mass: 165.66 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.65958309049236,
      "fos_buckling": 0.6378815651094029,
      "fos_yielding": 3.566883360707535,
      "deflection": 0.0179640552006326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005263)"
      },
      "parent_node_id": "node_2850",
      "improvement_over_parent": null
    },
    "node_2852": {
      "node_id": "node_2852",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0098)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n\nPerformance:\n  Mass: 199.34 kg\n  Factor of Safety: 0.75\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": 199.34217376624545,
      "fos_buckling": 0.7502032902738,
      "fos_yielding": 4.290127046510796,
      "deflection": 0.014973536200497142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_2851",
      "improvement_over_parent": null
    },
    "node_2853": {
      "node_id": "node_2853",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0098)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n  Mass: 212.73 kg\n  Factor of Safety: 1.08\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": 212.72760960385028,
      "fos_buckling": 1.0759860149799998,
      "fos_yielding": 6.684848940505922,
      "deflection": 0.013609838609390213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005029)"
      },
      "parent_node_id": "node_2852",
      "improvement_over_parent": null
    },
    "node_2854": {
      "node_id": "node_2854",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0124)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 264.40 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 264.40083093572207,
      "fos_buckling": 1.300691601227185,
      "fos_yielding": 8.312338547720756,
      "deflection": 0.011009798960481019,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_2853",
      "improvement_over_parent": null
    },
    "node_2855": {
      "node_id": "node_2855",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2854",
      "improvement_over_parent": null
    },
    "node_2856": {
      "node_id": "node_2856",
      "content": "INITIAL DESIGN (Trace 405)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 200.95 kg\n  Factor of Safety: 0.62\n  Max Deflection: 2.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.9518042185322,
      "fos_buckling": 0.6176975069282434,
      "fos_yielding": 3.8813587461172077,
      "deflection": 0.020974399101841505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2857": {
      "node_id": "node_2857",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 228.09 kg\n  Factor of Safety: 0.53\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": 228.09032778691466,
      "fos_buckling": 0.5285550394632522,
      "fos_yielding": 5.8343730435855266,
      "deflection": 0.013983642694382068,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2856",
      "improvement_over_parent": null
    },
    "node_2858": {
      "node_id": "node_2858",
      "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 233.84 kg\n  Factor of Safety: 0.45\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": 233.8392872594114,
      "fos_buckling": 0.44617643354517544,
      "fos_yielding": 5.824925855469803,
      "deflection": 0.013536805528026458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.326)"
      },
      "parent_node_id": "node_2857",
      "improvement_over_parent": null
    },
    "node_2859": {
      "node_id": "node_2859",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.45481331577872,
      "fos_buckling": 1.5345239564110231,
      "fos_yielding": 7.745375790564782,
      "deflection": 0.011488249431919716,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2858",
      "improvement_over_parent": null
    },
    "node_2860": {
      "node_id": "node_2860",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2859",
      "improvement_over_parent": null
    },
    "node_2861": {
      "node_id": "node_2861",
      "content": "INITIAL DESIGN (Trace 406)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 179.27 kg\n  Factor of Safety: 0.76\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": 179.2733183896488,
      "fos_buckling": 0.7593739554273311,
      "fos_yielding": 5.445100490801822,
      "deflection": 0.0194116660894493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2862": {
      "node_id": "node_2862",
      "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 185.42 kg\n  Factor of Safety: 0.76\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": 185.4239418928043,
      "fos_buckling": 0.7586927856409336,
      "fos_yielding": 5.4402161542878735,
      "deflection": 0.018435728278515914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.451)"
      },
      "parent_node_id": "node_2861",
      "improvement_over_parent": null
    },
    "node_2863": {
      "node_id": "node_2863",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 233.39 kg\n  Factor of Safety: 0.92\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": 233.38714646048987,
      "fos_buckling": 0.916351781872374,
      "fos_yielding": 6.814435530821562,
      "deflection": 0.014726869233852262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_2862",
      "improvement_over_parent": null
    },
    "node_2864": {
      "node_id": "node_2864",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.65 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.6533872813972,
      "fos_buckling": 1.5353262469685078,
      "fos_yielding": 7.751358583260867,
      "deflection": 0.011478834100301682,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_2863",
      "improvement_over_parent": null
    },
    "node_2865": {
      "node_id": "node_2865",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2864",
      "improvement_over_parent": null
    },
    "node_2866": {
      "node_id": "node_2866",
      "content": "INITIAL DESIGN (Trace 407)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 207.55 kg\n  Factor of Safety: 0.72\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": 207.54577174370618,
      "fos_buckling": 0.717480827195861,
      "fos_yielding": 3.036427520327584,
      "deflection": 0.018469274196978653,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2867": {
      "node_id": "node_2867",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 242.58 kg\n  Factor of Safety: 0.82\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": 242.58091686693646,
      "fos_buckling": 0.8170239717304014,
      "fos_yielding": 3.558241195160197,
      "deflection": 0.01585018251230213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_2866",
      "improvement_over_parent": null
    },
    "node_2868": {
      "node_id": "node_2868",
      "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 242.76 kg\n  Factor of Safety: 0.81\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": 242.76245427430052,
      "fos_buckling": 0.8076008549471191,
      "fos_yielding": 4.5189236108109405,
      "deflection": 0.015757141286707587,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.381)"
      },
      "parent_node_id": "node_2867",
      "improvement_over_parent": null
    },
    "node_2869": {
      "node_id": "node_2869",
      "content": "MODIFICATION: Increase 10 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.89 kg\n  Factor of Safety: 0.80\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": 249.8915652132359,
      "fos_buckling": 0.8023259587724302,
      "fos_yielding": 4.47129314491848,
      "deflection": 0.015750735600270797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.484)"
      },
      "parent_node_id": "node_2868",
      "improvement_over_parent": null
    },
    "node_2870": {
      "node_id": "node_2870",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.44 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.43755737429805,
      "fos_buckling": 1.5344245935760343,
      "fos_yielding": 7.743638988750357,
      "deflection": 0.01148853784435413,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_2869",
      "improvement_over_parent": null
    },
    "node_2871": {
      "node_id": "node_2871",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2870",
      "improvement_over_parent": null
    },
    "node_2872": {
      "node_id": "node_2872",
      "content": "INITIAL DESIGN (Trace 408)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 182.98 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.34e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.9766363841985,
      "fos_buckling": 0.3674575880936965,
      "fos_yielding": 2.8082733742945463,
      "deflection": 0.02340081801725902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2873": {
      "node_id": "node_2873",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 206.62 kg\n  Factor of Safety: 0.41\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": 206.62184342922683,
      "fos_buckling": 0.40651453318734315,
      "fos_yielding": 3.1694924154933335,
      "deflection": 0.020768953471430915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2872",
      "improvement_over_parent": null
    },
    "node_2874": {
      "node_id": "node_2874",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 233.76 kg\n  Factor of Safety: 0.41\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": 233.76036699760928,
      "fos_buckling": 0.40542511527687275,
      "fos_yielding": 5.3779293267335655,
      "deflection": 0.013383952303377217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2873",
      "improvement_over_parent": null
    },
    "node_2875": {
      "node_id": "node_2875",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.60841501292148,
      "fos_buckling": 1.534706542779975,
      "fos_yielding": 7.747928862907544,
      "deflection": 0.011480976202005264,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_2874",
      "improvement_over_parent": null
    },
    "node_2876": {
      "node_id": "node_2876",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2875",
      "improvement_over_parent": null
    },
    "node_2877": {
      "node_id": "node_2877",
      "content": "INITIAL DESIGN (Trace 409)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n  Mass: 163.95 kg\n  Factor of Safety: 0.02\n  Max Deflection: 1.25e+15 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.95432603570856,
      "fos_buckling": 0.015408873421106277,
      "fos_yielding": 0.11527554049479469,
      "deflection": 1250910034674469.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2878": {
      "node_id": "node_2878",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n  Mass: 164.51 kg\n  Factor of Safety: 0.06\n  Max Deflection: 5.22e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.50815152204734,
      "fos_buckling": 0.055291958525735665,
      "fos_yielding": 0.8474577543759945,
      "deflection": 52224846951683.09,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001646)"
      },
      "parent_node_id": "node_2877",
      "improvement_over_parent": null
    },
    "node_2879": {
      "node_id": "node_2879",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 179.14 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.14072253741236,
      "fos_buckling": 0.6959036621611793,
      "fos_yielding": 3.932343925466372,
      "deflection": 0.01710885321170923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005194)"
      },
      "parent_node_id": "node_2878",
      "improvement_over_parent": null
    },
    "node_2880": {
      "node_id": "node_2880",
      "content": "MODIFICATION: Increase 11 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0066)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 183.26 kg\n  Factor of Safety: 0.70\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": 183.2562825003831,
      "fos_buckling": 0.6950822103214866,
      "fos_yielding": 4.221262917911216,
      "deflection": 0.016985212597722944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.346)"
      },
      "parent_node_id": "node_2879",
      "improvement_over_parent": null
    },
    "node_2881": {
      "node_id": "node_2881",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0086)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 233.11 kg\n  Factor of Safety: 0.84\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": 233.11482947674168,
      "fos_buckling": 0.8434968240293861,
      "fos_yielding": 5.322848420289542,
      "deflection": 0.01342806016597195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_2880",
      "improvement_over_parent": null
    },
    "node_2882": {
      "node_id": "node_2882",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0086)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 250.91 kg\n  Factor of Safety: 1.43\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": 250.9063051651461,
      "fos_buckling": 1.4288364826286788,
      "fos_yielding": 6.534496257470167,
      "deflection": 0.011791441906543115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_2881",
      "improvement_over_parent": null
    },
    "node_2883": {
      "node_id": "node_2883",
      "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0086)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 251.42 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.4223342213435,
      "fos_buckling": 1.4420628670710023,
      "fos_yielding": 7.577014138623563,
      "deflection": 0.011710801742238515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.279)"
      },
      "parent_node_id": "node_2882",
      "improvement_over_parent": null
    },
    "node_2884": {
      "node_id": "node_2884",
      "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0086)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.01 kg\n  Factor of Safety: 1.46\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.00964497188673,
      "fos_buckling": 1.4591061055607868,
      "fos_yielding": 7.93246206573566,
      "deflection": 0.01165089011974403,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.418)"
      },
      "parent_node_id": "node_2883",
      "improvement_over_parent": null
    },
    "node_2885": {
      "node_id": "node_2885",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2884",
      "improvement_over_parent": null
    },
    "node_2886": {
      "node_id": "node_2886",
      "content": "INITIAL DESIGN (Trace 410)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 167.72 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.29e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.72343138384764,
      "fos_buckling": 0.4138151057471891,
      "fos_yielding": 4.437465135243814,
      "deflection": 22866664838327.02,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2887": {
      "node_id": "node_2887",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 201.64 kg\n  Factor of Safety: 0.65\n  Max Deflection: 1.88e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.640199241209,
      "fos_buckling": 0.653027325177901,
      "fos_yielding": 3.3898310175039783,
      "deflection": 18770613840910.22,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_2886",
      "improvement_over_parent": null
    },
    "node_2888": {
      "node_id": "node_2888",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 220.26 kg\n  Factor of Safety: 0.85\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": 220.2557252975763,
      "fos_buckling": 0.8477532725697748,
      "fos_yielding": 2.5680579340640106,
      "deflection": 0.014662307651244832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2887",
      "improvement_over_parent": null
    },
    "node_2889": {
      "node_id": "node_2889",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n\nPerformance:\n  Mass: 230.70 kg\n  Factor of Safety: 0.90\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": 230.69635036591592,
      "fos_buckling": 0.901093740377991,
      "fos_yielding": 5.032262736395399,
      "deflection": 0.01276616520437076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004299)"
      },
      "parent_node_id": "node_2888",
      "improvement_over_parent": null
    },
    "node_2890": {
      "node_id": "node_2890",
      "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n\nPerformance:\n  Mass: 230.94 kg\n  Factor of Safety: 0.90\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": 230.93679775762683,
      "fos_buckling": 0.9011365412343794,
      "fos_yielding": 6.568296085733841,
      "deflection": 0.012707247981727622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.391)"
      },
      "parent_node_id": "node_2889",
      "improvement_over_parent": null
    },
    "node_2891": {
      "node_id": "node_2891",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 247.61 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.60708156388392,
      "fos_buckling": 1.326493590034822,
      "fos_yielding": 5.87208271766109,
      "deflection": 0.01173777735762043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_2890",
      "improvement_over_parent": null
    },
    "node_2892": {
      "node_id": "node_2892",
      "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 248.44 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.4363819979332,
      "fos_buckling": 1.3263274648171652,
      "fos_yielding": 5.812156586102617,
      "deflection": 0.011686638958719152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.449)"
      },
      "parent_node_id": "node_2891",
      "improvement_over_parent": null
    },
    "node_2893": {
      "node_id": "node_2893",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2892",
      "improvement_over_parent": null
    },
    "node_2894": {
      "node_id": "node_2894",
      "content": "INITIAL DESIGN (Trace 411)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 221.89 kg\n  Factor of Safety: 0.75\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.8875514557942,
      "fos_buckling": 0.7467015557036416,
      "fos_yielding": 2.138849572667361,
      "deflection": 0.02046336328992868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2895": {
      "node_id": "node_2895",
      "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 229.47 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.46545936251368,
      "fos_buckling": 0.7917759571461027,
      "fos_yielding": 2.265363774196261,
      "deflection": 0.019076787483868967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.425)"
      },
      "parent_node_id": "node_2894",
      "improvement_over_parent": null
    },
    "node_2896": {
      "node_id": "node_2896",
      "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 235.21 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.2076426241098,
      "fos_buckling": 0.8350277982548232,
      "fos_yielding": 2.3864903597974916,
      "deflection": 0.017896350052467022,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.377)"
      },
      "parent_node_id": "node_2895",
      "improvement_over_parent": null
    },
    "node_2897": {
      "node_id": "node_2897",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 237.75 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.75363478517195,
      "fos_buckling": 0.8435811051186901,
      "fos_yielding": 5.002024799118635,
      "deflection": 0.01314841179850817,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_2896",
      "improvement_over_parent": null
    },
    "node_2898": {
      "node_id": "node_2898",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47814239382953,
      "fos_buckling": 1.534506262204165,
      "fos_yielding": 7.744277873957656,
      "deflection": 0.01148664996775309,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_2897",
      "improvement_over_parent": null
    },
    "node_2899": {
      "node_id": "node_2899",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2898",
      "improvement_over_parent": null
    },
    "node_2900": {
      "node_id": "node_2900",
      "content": "INITIAL DESIGN (Trace 412)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n\nPerformance:\n  Mass: 189.36 kg\n  Factor of Safety: 0.35\n  Max Deflection: 3.41e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.35526669635163,
      "fos_buckling": 0.3492363883257023,
      "fos_yielding": 2.5717551185217853,
      "deflection": 0.034078964116897564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2901": {
      "node_id": "node_2901",
      "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n\nPerformance:\n  Mass: 192.98 kg\n  Factor of Safety: 0.44\n  Max Deflection: 3.13e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.98216067074503,
      "fos_buckling": 0.4433661857155882,
      "fos_yielding": 2.572655348369462,
      "deflection": 0.031255961897134144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.647)"
      },
      "parent_node_id": "node_2900",
      "improvement_over_parent": null
    },
    "node_2902": {
      "node_id": "node_2902",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 211.60 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.72e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.59768672711235,
      "fos_buckling": 0.44296571124723716,
      "fos_yielding": 1.7013175754721537,
      "deflection": 0.027163378554315228,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_2901",
      "improvement_over_parent": null
    },
    "node_2903": {
      "node_id": "node_2903",
      "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 214.07 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.70e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.06921855473476,
      "fos_buckling": 0.44291259575738195,
      "fos_yielding": 1.739837035055712,
      "deflection": 0.027012431144016212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.269)"
      },
      "parent_node_id": "node_2902",
      "improvement_over_parent": null
    },
    "node_2904": {
      "node_id": "node_2904",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 239.19 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.1913602065816,
      "fos_buckling": 0.8076398411256968,
      "fos_yielding": 3.87828705542595,
      "deflection": 0.016119279670152788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_2903",
      "improvement_over_parent": null
    },
    "node_2905": {
      "node_id": "node_2905",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 241.74 kg\n  Factor of Safety: 1.37\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": 241.73735236764375,
      "fos_buckling": 1.370230406074966,
      "fos_yielding": 7.671653595295397,
      "deflection": 0.01177394418571125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_2904",
      "improvement_over_parent": null
    },
    "node_2906": {
      "node_id": "node_2906",
      "content": "MODIFICATION: Increase 14 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0122)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.5649168456174,
      "fos_buckling": 1.3626971644096086,
      "fos_yielding": 7.288509551396365,
      "deflection": 0.011217935905794441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.499)"
      },
      "parent_node_id": "node_2905",
      "improvement_over_parent": null
    },
    "node_2907": {
      "node_id": "node_2907",
      "content": "MODIFICATION: Increase 5 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0059)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0122)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 253.64 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.64264723714095,
      "fos_buckling": 1.3628292600447574,
      "fos_yielding": 7.202728643955816,
      "deflection": 0.011153984162643103,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.592)"
      },
      "parent_node_id": "node_2906",
      "improvement_over_parent": null
    },
    "node_2908": {
      "node_id": "node_2908",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2907",
      "improvement_over_parent": null
    },
    "node_2909": {
      "node_id": "node_2909",
      "content": "INITIAL DESIGN (Trace 413)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 167.48 kg\n  Factor of Safety: 0.25\n  Max Deflection: 6.55e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.48485164473004,
      "fos_buckling": 0.24761887338918037,
      "fos_yielding": 1.1009525508592362,
      "deflection": 0.06549571674648008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2910": {
      "node_id": "node_2910",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n  Mass: 177.46 kg\n  Factor of Safety: 0.25\n  Max Deflection: 6.50e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.45550045254092,
      "fos_buckling": 0.24749749350101646,
      "fos_yielding": 0.9859514434896449,
      "deflection": 0.06501522685750205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003460)"
      },
      "parent_node_id": "node_2909",
      "improvement_over_parent": null
    },
    "node_2911": {
      "node_id": "node_2911",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n  Mass: 179.58 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.25e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.57934457619908,
      "fos_buckling": 0.5846677503430769,
      "fos_yielding": 3.249796266585374,
      "deflection": 0.022483796284121532,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003335)"
      },
      "parent_node_id": "node_2910",
      "improvement_over_parent": null
    },
    "node_2912": {
      "node_id": "node_2912",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 215.35 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.3522019280285,
      "fos_buckling": 0.6779393508899703,
      "fos_yielding": 3.8766723816607724,
      "deflection": 0.018829811627252852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_2911",
      "improvement_over_parent": null
    },
    "node_2913": {
      "node_id": "node_2913",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 242.49 kg\n  Factor of Safety: 1.24\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": 242.49072549641096,
      "fos_buckling": 1.240015611769411,
      "fos_yielding": 7.966895009256808,
      "deflection": 0.011772428513231374,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2912",
      "improvement_over_parent": null
    },
    "node_2914": {
      "node_id": "node_2914",
      "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0084)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 246.80 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.79988536333343,
      "fos_buckling": 1.300685196969164,
      "fos_yielding": 7.985514962771524,
      "deflection": 0.011677388497300063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.274)"
      },
      "parent_node_id": "node_2913",
      "improvement_over_parent": null
    },
    "node_2915": {
      "node_id": "node_2915",
      "content": "MODIFICATION: Increase 15 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0084)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0130)]\n\nPerformance:\n  Mass: 260.71 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.71459940741886,
      "fos_buckling": 1.2979177540098008,
      "fos_yielding": 8.658696798848228,
      "deflection": 0.011121325110956102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.600)"
      },
      "parent_node_id": "node_2914",
      "improvement_over_parent": null
    },
    "node_2916": {
      "node_id": "node_2916",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2915",
      "improvement_over_parent": null
    },
    "node_2917": {
      "node_id": "node_2917",
      "content": "INITIAL DESIGN (Trace 414)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 187.71 kg\n  Factor of Safety: 0.78\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": 187.71250311581971,
      "fos_buckling": 0.7801424332546079,
      "fos_yielding": 5.619880478713529,
      "deflection": 0.017870578870178667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2918": {
      "node_id": "node_2918",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 188.29 kg\n  Factor of Safety: 0.78\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": 188.2913101916334,
      "fos_buckling": 0.7800985432081637,
      "fos_yielding": 5.619564309761928,
      "deflection": 0.017849664791263514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001726)"
      },
      "parent_node_id": "node_2917",
      "improvement_over_parent": null
    },
    "node_2919": {
      "node_id": "node_2919",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n\nPerformance:\n  Mass: 207.42 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.4219877379808,
      "fos_buckling": 1.307018291842713,
      "fos_yielding": 6.359228847942155,
      "deflection": 0.013910323336362903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006092)"
      },
      "parent_node_id": "node_2918",
      "improvement_over_parent": null
    },
    "node_2920": {
      "node_id": "node_2920",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.56490316838617,
      "fos_buckling": 1.5350163357533106,
      "fos_yielding": 7.747234329106494,
      "deflection": 0.011482904358719834,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_2919",
      "improvement_over_parent": null
    },
    "node_2921": {
      "node_id": "node_2921",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 415)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 143.24 kg\n  Factor of Safety: 0.50\n  Max Deflection: 2.73e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.23762671052077,
      "fos_buckling": 0.49864791346179826,
      "fos_yielding": 2.2418348631534797,
      "deflection": 0.02732333779010684,
      "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: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 176.10 kg\n  Factor of Safety: 0.60\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": 176.09651069073098,
      "fos_buckling": 0.5995240458602864,
      "fos_yielding": 2.7598217695938905,
      "deflection": 0.022282311291377706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_2922",
      "improvement_over_parent": null
    },
    "node_2924": {
      "node_id": "node_2924",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 219.03 kg\n  Factor of Safety: 0.72\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": 219.02840094617582,
      "fos_buckling": 0.7237213864318857,
      "fos_yielding": 3.4390979690873116,
      "deflection": 0.017974988062391874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_2923",
      "improvement_over_parent": null
    },
    "node_2925": {
      "node_id": "node_2925",
      "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 219.12 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.1205189919952,
      "fos_buckling": 0.7191332109529385,
      "fos_yielding": 3.9196817040728016,
      "deflection": 0.017918700612269915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.190)"
      },
      "parent_node_id": "node_2924",
      "improvement_over_parent": null
    },
    "node_2926": {
      "node_id": "node_2926",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n  Mass: 221.35 kg\n  Factor of Safety: 1.38\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.35129326864117,
      "fos_buckling": 1.3794365284216703,
      "fos_yielding": 6.783075330294838,
      "deflection": 0.013055859398584004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003517)"
      },
      "parent_node_id": "node_2925",
      "improvement_over_parent": null
    },
    "node_2927": {
      "node_id": "node_2927",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.57778703114144,
      "fos_buckling": 1.5350349176161013,
      "fos_yielding": 7.742809919535302,
      "deflection": 0.011482473874004737,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_2926",
      "improvement_over_parent": null
    },
    "node_2928": {
      "node_id": "node_2928",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2927",
      "improvement_over_parent": null
    },
    "node_2929": {
      "node_id": "node_2929",
      "content": "INITIAL DESIGN (Trace 416)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 117.39 kg\n  Factor of Safety: 1.01\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": 117.38765153277609,
      "fos_buckling": 1.0065866022798262,
      "fos_yielding": 6.419185458157173,
      "deflection": 30380033446718.05,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2930": {
      "node_id": "node_2930",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n\nPerformance:\n  Mass: 123.66 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.84e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.66218225023191,
      "fos_buckling": 0.6207116164491511,
      "fos_yielding": 4.291844425820433,
      "deflection": 18405457245695.207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.002520)"
      },
      "parent_node_id": "node_2929",
      "improvement_over_parent": null
    },
    "node_2931": {
      "node_id": "node_2931",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n\nPerformance:\n  Mass: 144.85 kg\n  Factor of Safety: 0.65\n  Max Deflection: 6.00e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.84640313404495,
      "fos_buckling": 0.6494593769500367,
      "fos_yielding": 6.779662035007957,
      "deflection": 6001047799596.732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_2930",
      "improvement_over_parent": null
    },
    "node_2932": {
      "node_id": "node_2932",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n\nPerformance:\n  Mass: 186.52 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.34e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.52317361500732,
      "fos_buckling": 0.8879575797210768,
      "fos_yielding": 8.503503209428644,
      "deflection": 13404532349135.326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_2931",
      "improvement_over_parent": null
    },
    "node_2933": {
      "node_id": "node_2933",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n\nPerformance:\n  Mass: 201.58 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.68e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.58385891776777,
      "fos_buckling": 0.4075200990401934,
      "fos_yielding": 1.6462958200892401,
      "deflection": 0.026766785439831953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005713)"
      },
      "parent_node_id": "node_2932",
      "improvement_over_parent": null
    },
    "node_2934": {
      "node_id": "node_2934",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 223.08 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.43e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.07865998214513,
      "fos_buckling": 0.44230856128100005,
      "fos_yielding": 1.8167268624270032,
      "deflection": 0.02425468493209714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2933",
      "improvement_over_parent": null
    },
    "node_2935": {
      "node_id": "node_2935",
      "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0053)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 223.87 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.42e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.86919596726884,
      "fos_buckling": 0.4423085612809992,
      "fos_yielding": 1.8167268624270032,
      "deflection": 0.024184373492608904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.427)"
      },
      "parent_node_id": "node_2934",
      "improvement_over_parent": null
    },
    "node_2936": {
      "node_id": "node_2936",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0053)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 248.99 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.99133761911568,
      "fos_buckling": 1.3318669951636624,
      "fos_yielding": 7.629678093514045,
      "deflection": 0.011561482577979955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_2935",
      "improvement_over_parent": null
    },
    "node_2937": {
      "node_id": "node_2937",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2936",
      "improvement_over_parent": null
    },
    "node_2938": {
      "node_id": "node_2938",
      "content": "INITIAL DESIGN (Trace 417)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 182.17 kg\n  Factor of Safety: 0.81\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": 182.17136374964142,
      "fos_buckling": 0.8056317548551343,
      "fos_yielding": 4.061728415433447,
      "deflection": 0.019397393534105255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2939": {
      "node_id": "node_2939",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 198.60 kg\n  Factor of Safety: 1.28\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": 198.60298192058673,
      "fos_buckling": 1.2819885337166157,
      "fos_yielding": 6.458910014724799,
      "deflection": 0.014694153965588081,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005995)"
      },
      "parent_node_id": "node_2938",
      "improvement_over_parent": null
    },
    "node_2940": {
      "node_id": "node_2940",
      "content": "MODIFICATION: Increase 11 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0076)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 203.86 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.86158393536377,
      "fos_buckling": 1.2717468532256242,
      "fos_yielding": 6.283125195609185,
      "deflection": 0.014592459695612693,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.414)"
      },
      "parent_node_id": "node_2939",
      "improvement_over_parent": null
    },
    "node_2941": {
      "node_id": "node_2941",
      "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0076)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 209.68 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.6773155218372,
      "fos_buckling": 1.2693312596289579,
      "fos_yielding": 6.752427990326308,
      "deflection": 0.013856791739935925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.471)"
      },
      "parent_node_id": "node_2940",
      "improvement_over_parent": null
    },
    "node_2942": {
      "node_id": "node_2942",
      "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0076)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0090)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 217.95 kg\n  Factor of Safety: 1.27\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": 217.9486119819015,
      "fos_buckling": 1.268578434800286,
      "fos_yielding": 6.718783361122278,
      "deflection": 0.01362588568294663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.592)"
      },
      "parent_node_id": "node_2941",
      "improvement_over_parent": null
    },
    "node_2943": {
      "node_id": "node_2943",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0090)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0107)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 255.17 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.16693028890688,
      "fos_buckling": 1.4445258140565287,
      "fos_yielding": 7.8790311160638815,
      "deflection": 0.011675078548001025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2942",
      "improvement_over_parent": null
    },
    "node_2944": {
      "node_id": "node_2944",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2943",
      "improvement_over_parent": null
    },
    "node_2945": {
      "node_id": "node_2945",
      "content": "INITIAL DESIGN (Trace 418)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n\nPerformance:\n  Mass: 146.79 kg\n  Factor of Safety: 0.42\n  Max Deflection: 3.31e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.78583490989132,
      "fos_buckling": 0.4181788537972402,
      "fos_yielding": 2.1317049334903366,
      "deflection": 33115308517607.67,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2946": {
      "node_id": "node_2946",
      "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n  Mass: 150.49 kg\n  Factor of Safety: 0.40\n  Max Deflection: 3.05e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.48549556482942,
      "fos_buckling": 0.39773129161057974,
      "fos_yielding": 1.6949155087519892,
      "deflection": 30485807413667.676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.368)"
      },
      "parent_node_id": "node_2945",
      "improvement_over_parent": null
    },
    "node_2947": {
      "node_id": "node_2947",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 165.66 kg\n  Factor of Safety: 0.23\n  Max Deflection: 3.97e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.66226063042333,
      "fos_buckling": 0.2274066336890667,
      "fos_yielding": 0.8474577543759946,
      "deflection": 39738136269955.91,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005402)"
      },
      "parent_node_id": "node_2946",
      "improvement_over_parent": null
    },
    "node_2948": {
      "node_id": "node_2948",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n  Mass: 186.14 kg\n  Factor of Safety: 0.30\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": 186.14173643210097,
      "fos_buckling": 0.29984332033527067,
      "fos_yielding": 4.3792800230252045,
      "deflection": 0.01665048536731112,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006520)"
      },
      "parent_node_id": "node_2947",
      "improvement_over_parent": null
    },
    "node_2949": {
      "node_id": "node_2949",
      "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n  Mass: 190.47 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.46717628814332,
      "fos_buckling": 0.3414879964384098,
      "fos_yielding": 4.379849183577306,
      "deflection": 0.01635880725315413,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.565)"
      },
      "parent_node_id": "node_2948",
      "improvement_over_parent": null
    },
    "node_2950": {
      "node_id": "node_2950",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n  Mass: 205.83 kg\n  Factor of Safety: 1.30\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": 205.83185066195213,
      "fos_buckling": 1.298617340548113,
      "fos_yielding": 6.310471446132725,
      "deflection": 0.014015388353584445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005435)"
      },
      "parent_node_id": "node_2949",
      "improvement_over_parent": null
    },
    "node_2951": {
      "node_id": "node_2951",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.32 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.32311852285338,
      "fos_buckling": 1.5338371539387805,
      "fos_yielding": 7.739928618111095,
      "deflection": 0.011493709839687219,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_2950",
      "improvement_over_parent": null
    },
    "node_2952": {
      "node_id": "node_2952",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2951",
      "improvement_over_parent": null
    },
    "node_2953": {
      "node_id": "node_2953",
      "content": "INITIAL DESIGN (Trace 419)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 182.42 kg\n  Factor of Safety: 0.44\n  Max Deflection: 3.32e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.42121873964444,
      "fos_buckling": 0.4440144345004172,
      "fos_yielding": 1.2849974340722998,
      "deflection": 0.03316339249222998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2954": {
      "node_id": "node_2954",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 209.56 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.98e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.5597423080269,
      "fos_buckling": 0.4428453867014062,
      "fos_yielding": 1.2816439735419998,
      "deflection": 0.029804212986937174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_2953",
      "improvement_over_parent": null
    },
    "node_2955": {
      "node_id": "node_2955",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n\nPerformance:\n  Mass: 229.79 kg\n  Factor of Safety: 0.85\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": 229.79107112532256,
      "fos_buckling": 0.8452472616114043,
      "fos_yielding": 4.595922726011032,
      "deflection": 0.013591817182023512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006435)"
      },
      "parent_node_id": "node_2954",
      "improvement_over_parent": null
    },
    "node_2956": {
      "node_id": "node_2956",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 247.58 kg\n  Factor of Safety: 1.38\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": 247.582546813727,
      "fos_buckling": 1.376195197942522,
      "fos_yielding": 8.057243213173777,
      "deflection": 0.011898512026294958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_2955",
      "improvement_over_parent": null
    },
    "node_2957": {
      "node_id": "node_2957",
      "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0079)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 251.05 kg\n  Factor of Safety: 1.38\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": 251.04857013872797,
      "fos_buckling": 1.3783895102956616,
      "fos_yielding": 8.075498070787031,
      "deflection": 0.011832198155518935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.266)"
      },
      "parent_node_id": "node_2956",
      "improvement_over_parent": null
    },
    "node_2958": {
      "node_id": "node_2958",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 420)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 193.81 kg\n  Factor of Safety: 1.24\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": 193.8132250370874,
      "fos_buckling": 1.2359993714910813,
      "fos_yielding": 5.929733306011813,
      "deflection": 0.014862396395591244,
      "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 9 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 194.01 kg\n  Factor of Safety: 1.24\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": 194.0108085803063,
      "fos_buckling": 1.236037939555291,
      "fos_yielding": 5.933405481238333,
      "deflection": 0.014841810348823219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.199)"
      },
      "parent_node_id": "node_2959",
      "improvement_over_parent": null
    },
    "node_2961": {
      "node_id": "node_2961",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.34 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.34451523211848,
      "fos_buckling": 1.5345942619497952,
      "fos_yielding": 7.722854014189278,
      "deflection": 0.011487068289902194,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_2960",
      "improvement_over_parent": null
    },
    "node_2962": {
      "node_id": "node_2962",
      "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.52067634671226,
      "fos_buckling": 1.534798372600487,
      "fos_yielding": 7.745927742441629,
      "deflection": 0.011484839449073928,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.366)"
      },
      "parent_node_id": "node_2961",
      "improvement_over_parent": null
    },
    "node_2963": {
      "node_id": "node_2963",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2962",
      "improvement_over_parent": null
    },
    "node_2964": {
      "node_id": "node_2964",
      "content": "INITIAL DESIGN (Trace 421)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n  Mass: 161.46 kg\n  Factor of Safety: 0.91\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": 161.45574341507924,
      "fos_buckling": 0.9084244172169209,
      "fos_yielding": 3.83934106205559,
      "deflection": 0.017636917265711528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2965": {
      "node_id": "node_2965",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 210.84 kg\n  Factor of Safety: 1.16\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": 210.83916089887086,
      "fos_buckling": 1.1591386336847627,
      "fos_yielding": 5.040374542980465,
      "deflection": 0.013581060995633948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_2964",
      "improvement_over_parent": null
    },
    "node_2966": {
      "node_id": "node_2966",
      "content": "MODIFICATION: Increase 15 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 214.91 kg\n  Factor of Safety: 1.17\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": 214.9096202790503,
      "fos_buckling": 1.1695433673894373,
      "fos_yielding": 5.022914555050051,
      "deflection": 0.013412607083231443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.359)"
      },
      "parent_node_id": "node_2965",
      "improvement_over_parent": null
    },
    "node_2967": {
      "node_id": "node_2967",
      "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 219.13 kg\n  Factor of Safety: 1.26\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": 219.12752332627386,
      "fos_buckling": 1.2557662684527362,
      "fos_yielding": 5.206159336043574,
      "deflection": 0.013233092725460032,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.370)"
      },
      "parent_node_id": "node_2966",
      "improvement_over_parent": null
    },
    "node_2968": {
      "node_id": "node_2968",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.48 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.47674954890283,
      "fos_buckling": 1.411660646628871,
      "fos_yielding": 5.946577270752674,
      "deflection": 0.01166243315674899,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_2967",
      "improvement_over_parent": null
    },
    "node_2969": {
      "node_id": "node_2969",
      "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 250.12 kg\n  Factor of Safety: 1.47\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": 250.11597943719303,
      "fos_buckling": 1.46784406967459,
      "fos_yielding": 7.726963633755303,
      "deflection": 0.011548370914362689,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.368)"
      },
      "parent_node_id": "node_2968",
      "improvement_over_parent": null
    },
    "node_2970": {
      "node_id": "node_2970",
      "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.44 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.44189510263104,
      "fos_buckling": 1.5343744695269563,
      "fos_yielding": 7.742419906039122,
      "deflection": 0.011488510484165725,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.206)"
      },
      "parent_node_id": "node_2969",
      "improvement_over_parent": null
    },
    "node_2971": {
      "node_id": "node_2971",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2970",
      "improvement_over_parent": null
    },
    "node_2972": {
      "node_id": "node_2972",
      "content": "INITIAL DESIGN (Trace 422)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 200.13 kg\n  Factor of Safety: 1.10\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": 200.13108930387227,
      "fos_buckling": 1.0997420140247054,
      "fos_yielding": 6.603395442395105,
      "deflection": 0.014170943377302365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2973": {
      "node_id": "node_2973",
      "content": "MODIFICATION: Increase 15 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 204.93 kg\n  Factor of Safety: 1.27\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": 204.9284731486105,
      "fos_buckling": 1.267728354219199,
      "fos_yielding": 6.566157336168102,
      "deflection": 0.013956512433057818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.488)"
      },
      "parent_node_id": "node_2972",
      "improvement_over_parent": null
    },
    "node_2974": {
      "node_id": "node_2974",
      "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 205.03 kg\n  Factor of Safety: 1.26\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": 205.03373877388023,
      "fos_buckling": 1.2611003468042783,
      "fos_yielding": 6.582906142915998,
      "deflection": 0.013952971341688313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.238)"
      },
      "parent_node_id": "node_2973",
      "improvement_over_parent": null
    },
    "node_2975": {
      "node_id": "node_2975",
      "content": "MODIFICATION: Increase 12 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 208.46 kg\n  Factor of Safety: 1.31\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": 208.45969912005452,
      "fos_buckling": 1.3124597929878286,
      "fos_yielding": 6.391253792867067,
      "deflection": 0.013842771933201176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.357)"
      },
      "parent_node_id": "node_2974",
      "improvement_over_parent": null
    },
    "node_2976": {
      "node_id": "node_2976",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49922472820234,
      "fos_buckling": 1.534675111325669,
      "fos_yielding": 7.745372621702409,
      "deflection": 0.01148584682348248,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_2975",
      "improvement_over_parent": null
    },
    "node_2977": {
      "node_id": "node_2977",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2976",
      "improvement_over_parent": null
    },
    "node_2978": {
      "node_id": "node_2978",
      "content": "INITIAL DESIGN (Trace 423)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 232.20 kg\n  Factor of Safety: 0.84\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": 232.1979202984917,
      "fos_buckling": 0.8444695377142638,
      "fos_yielding": 4.875207671436167,
      "deflection": 0.014069719763660749,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2979": {
      "node_id": "node_2979",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 246.92 kg\n  Factor of Safety: 1.43\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": 246.92242790714928,
      "fos_buckling": 1.4338750951828902,
      "fos_yielding": 6.049013248680445,
      "deflection": 0.011764815687443921,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_2978",
      "improvement_over_parent": null
    },
    "node_2980": {
      "node_id": "node_2980",
      "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 251.86 kg\n  Factor of Safety: 1.43\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": 251.8596236750856,
      "fos_buckling": 1.4266687181346305,
      "fos_yielding": 6.018612085855066,
      "deflection": 0.011595604085376708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.517)"
      },
      "parent_node_id": "node_2979",
      "improvement_over_parent": null
    },
    "node_2981": {
      "node_id": "node_2981",
      "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0029)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.08 kg\n  Factor of Safety: 1.43\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": 252.07650978867952,
      "fos_buckling": 1.4305285548106992,
      "fos_yielding": 6.034895375292005,
      "deflection": 0.011593389748867682,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.351)"
      },
      "parent_node_id": "node_2980",
      "improvement_over_parent": null
    },
    "node_2982": {
      "node_id": "node_2982",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2981",
      "improvement_over_parent": null
    },
    "node_2983": {
      "node_id": "node_2983",
      "content": "INITIAL DESIGN (Trace 424)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 180.59 kg\n  Factor of Safety: 1.04\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": 180.5929270343361,
      "fos_buckling": 1.0436963335124319,
      "fos_yielding": 5.034483562531838,
      "deflection": 0.015862437549253188,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2984": {
      "node_id": "node_2984",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 200.25 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.24874599182473,
      "fos_buckling": 1.1419404422723853,
      "fos_yielding": 5.588968343954941,
      "deflection": 0.01433759640620652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2983",
      "improvement_over_parent": null
    },
    "node_2985": {
      "node_id": "node_2985",
      "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 202.32 kg\n  Factor of Safety: 1.18\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": 202.3185307119282,
      "fos_buckling": 1.1805637783320206,
      "fos_yielding": 5.601784408439211,
      "deflection": 0.014249717175780685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.218)"
      },
      "parent_node_id": "node_2984",
      "improvement_over_parent": null
    },
    "node_2986": {
      "node_id": "node_2986",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 242.06 kg\n  Factor of Safety: 1.38\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": 242.06497483459836,
      "fos_buckling": 1.379030438742657,
      "fos_yielding": 6.719397444336858,
      "deflection": 0.011963086894450942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_2985",
      "improvement_over_parent": null
    },
    "node_2987": {
      "node_id": "node_2987",
      "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 242.57 kg\n  Factor of Safety: 1.36\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": 242.5734779228643,
      "fos_buckling": 1.360774901005104,
      "fos_yielding": 8.234724414416084,
      "deflection": 0.011887772812828339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.274)"
      },
      "parent_node_id": "node_2986",
      "improvement_over_parent": null
    },
    "node_2988": {
      "node_id": "node_2988",
      "content": "MODIFICATION: Increase 15 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 246.66 kg\n  Factor of Safety: 1.36\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": 246.6596103257303,
      "fos_buckling": 1.3608237959652443,
      "fos_yielding": 8.205275757593308,
      "deflection": 0.011770514760026817,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.309)"
      },
      "parent_node_id": "node_2987",
      "improvement_over_parent": null
    },
    "node_2989": {
      "node_id": "node_2989",
      "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.06 kg\n  Factor of Safety: 1.49\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.0581398089693,
      "fos_buckling": 1.489705343056045,
      "fos_yielding": 7.9733810168519454,
      "deflection": 0.01163516166022279,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.190)"
      },
      "parent_node_id": "node_2988",
      "improvement_over_parent": null
    },
    "node_2990": {
      "node_id": "node_2990",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.28 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.27969201476583,
      "fos_buckling": 1.5334736098762307,
      "fos_yielding": 7.745158936146842,
      "deflection": 0.01149519927362999,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.221)"
      },
      "parent_node_id": "node_2989",
      "improvement_over_parent": null
    },
    "node_2991": {
      "node_id": "node_2991",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2990",
      "improvement_over_parent": null
    },
    "node_2992": {
      "node_id": "node_2992",
      "content": "INITIAL DESIGN (Trace 425)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 222.59 kg\n  Factor of Safety: 0.68\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": 222.59280892000447,
      "fos_buckling": 0.6783163414429826,
      "fos_yielding": 3.395958056528992,
      "deflection": 0.015922379549977606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2993": {
      "node_id": "node_2993",
      "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 227.41 kg\n  Factor of Safety: 0.68\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": 227.41122470522902,
      "fos_buckling": 0.678000178009335,
      "fos_yielding": 3.521930529657355,
      "deflection": 0.015523175299454114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.300)"
      },
      "parent_node_id": "node_2992",
      "improvement_over_parent": null
    },
    "node_2994": {
      "node_id": "node_2994",
      "content": "MODIFICATION: Increase 7 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 228.33 kg\n  Factor of Safety: 0.68\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": 228.33183131131932,
      "fos_buckling": 0.6778794434410275,
      "fos_yielding": 5.373174394522641,
      "deflection": 0.015122248377750693,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.621)"
      },
      "parent_node_id": "node_2993",
      "improvement_over_parent": null
    },
    "node_2995": {
      "node_id": "node_2995",
      "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 232.92 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.92060261027123,
      "fos_buckling": 0.8605785605185369,
      "fos_yielding": 5.373915549117039,
      "deflection": 0.014601997037090978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.359)"
      },
      "parent_node_id": "node_2994",
      "improvement_over_parent": null
    },
    "node_2996": {
      "node_id": "node_2996",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 251.77 kg\n  Factor of Safety: 1.50\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": 251.76865062558343,
      "fos_buckling": 1.4974884732643299,
      "fos_yielding": 7.426414730589196,
      "deflection": 0.011521934631652984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_2995",
      "improvement_over_parent": null
    },
    "node_2997": {
      "node_id": "node_2997",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47297147250447,
      "fos_buckling": 1.534584861702591,
      "fos_yielding": 7.743331544973932,
      "deflection": 0.011487055017151278,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_2996",
      "improvement_over_parent": null
    },
    "node_2998": {
      "node_id": "node_2998",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2997",
      "improvement_over_parent": null
    },
    "node_2999": {
      "node_id": "node_2999",
      "content": "INITIAL DESIGN (Trace 426)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 177.88 kg\n  Factor of Safety: 0.91\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": 177.88486557196882,
      "fos_buckling": 0.906690233711419,
      "fos_yielding": 5.803680711466671,
      "deflection": 0.016425315925650927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3000": {
      "node_id": "node_3000",
      "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 178.24 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.2393785680848,
      "fos_buckling": 0.9066351034023431,
      "fos_yielding": 5.809126059281549,
      "deflection": 0.016382976763551257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.425)"
      },
      "parent_node_id": "node_2999",
      "improvement_over_parent": null
    },
    "node_3001": {
      "node_id": "node_3001",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n  Mass: 213.18 kg\n  Factor of Safety: 1.07\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": 213.18089628291176,
      "fos_buckling": 1.0682990164412778,
      "fos_yielding": 6.9480271922375145,
      "deflection": 0.013744859243116579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_3000",
      "improvement_over_parent": null
    },
    "node_3002": {
      "node_id": "node_3002",
      "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n  Mass: 218.01 kg\n  Factor of Safety: 1.17\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": 218.00860167965652,
      "fos_buckling": 1.1660401059994494,
      "fos_yielding": 7.330276521358654,
      "deflection": 0.01322206821116446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.337)"
      },
      "parent_node_id": "node_3001",
      "improvement_over_parent": null
    },
    "node_3003": {
      "node_id": "node_3003",
      "content": "MODIFICATION: Increase 3 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n  Mass: 224.60 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.6042154210677,
      "fos_buckling": 1.2213434285615818,
      "fos_yielding": 6.77365418642407,
      "deflection": 0.012796808752221667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.658)"
      },
      "parent_node_id": "node_3002",
      "improvement_over_parent": null
    },
    "node_3004": {
      "node_id": "node_3004",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 247.33 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.3285354499048,
      "fos_buckling": 1.3309990514826244,
      "fos_yielding": 7.462565111521046,
      "deflection": 0.011650690963018373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_3003",
      "improvement_over_parent": null
    },
    "node_3005": {
      "node_id": "node_3005",
      "content": "MODIFICATION: Increase 13 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.30 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.29615015591537,
      "fos_buckling": 1.5333368923561796,
      "fos_yielding": 7.740847825242024,
      "deflection": 0.011494477409130085,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.393)"
      },
      "parent_node_id": "node_3004",
      "improvement_over_parent": null
    },
    "node_3006": {
      "node_id": "node_3006",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3005",
      "improvement_over_parent": null
    },
    "node_3007": {
      "node_id": "node_3007",
      "content": "INITIAL DESIGN (Trace 427)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0029)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 140.27 kg\n  Factor of Safety: 0.80\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": 140.26901164551293,
      "fos_buckling": 0.8031658335159233,
      "fos_yielding": 4.559181722060913,
      "deflection": 0.020887863287100385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3008": {
      "node_id": "node_3008",
      "content": "MODIFICATION: Increase 14 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 142.83 kg\n  Factor of Safety: 0.80\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": 142.83298555080972,
      "fos_buckling": 0.8032076792824089,
      "fos_yielding": 4.574213476661318,
      "deflection": 0.020684257665410495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.328)"
      },
      "parent_node_id": "node_3007",
      "improvement_over_parent": null
    },
    "node_3009": {
      "node_id": "node_3009",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 176.78 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.78481279605063,
      "fos_buckling": 0.9761295284779454,
      "fos_yielding": 5.66213352922945,
      "deflection": 0.016768923794102632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_3008",
      "improvement_over_parent": null
    },
    "node_3010": {
      "node_id": "node_3010",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 206.63 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.63180095257724,
      "fos_buckling": 1.122457889152809,
      "fos_yielding": 6.618547724113956,
      "deflection": 0.014389371658168804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_3009",
      "improvement_over_parent": null
    },
    "node_3011": {
      "node_id": "node_3011",
      "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 209.44 kg\n  Factor of Safety: 1.12\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": 209.4406855194084,
      "fos_buckling": 1.122159028138544,
      "fos_yielding": 6.600933084023421,
      "deflection": 0.014281400902113068,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.284)"
      },
      "parent_node_id": "node_3010",
      "improvement_over_parent": null
    },
    "node_3012": {
      "node_id": "node_3012",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 239.12 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.12328744693767,
      "fos_buckling": 1.2606774201005693,
      "fos_yielding": 7.538035815185989,
      "deflection": 0.012544049174314505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_3011",
      "improvement_over_parent": null
    },
    "node_3013": {
      "node_id": "node_3013",
      "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 244.91 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.90684111907896,
      "fos_buckling": 1.2566863617890753,
      "fos_yielding": 7.203948048306604,
      "deflection": 0.012042816024558426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.328)"
      },
      "parent_node_id": "node_3012",
      "improvement_over_parent": null
    },
    "node_3014": {
      "node_id": "node_3014",
      "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.65 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.64623924361976,
      "fos_buckling": 1.535808736430669,
      "fos_yielding": 7.74972395418232,
      "deflection": 0.01147917891272122,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.437)"
      },
      "parent_node_id": "node_3013",
      "improvement_over_parent": null
    },
    "node_3015": {
      "node_id": "node_3015",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 428)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0029)]\n\nPerformance:\n  Mass: 175.03 kg\n  Factor of Safety: 0.84\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": 175.0339283324181,
      "fos_buckling": 0.8416508391317616,
      "fos_yielding": 5.6485255420937825,
      "deflection": 0.01621752485012914,
      "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 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 197.69 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.68523312732688,
      "fos_buckling": 0.939856042194727,
      "fos_yielding": 6.379132245294414,
      "deflection": 0.014397724841261708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_3016",
      "improvement_over_parent": null
    },
    "node_3018": {
      "node_id": "node_3018",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 240.68 kg\n  Factor of Safety: 1.12\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": 240.68198766990704,
      "fos_buckling": 1.1197332441312766,
      "fos_yielding": 7.765465070196688,
      "deflection": 0.011885565486107235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_3017",
      "improvement_over_parent": null
    },
    "node_3019": {
      "node_id": "node_3019",
      "content": "MODIFICATION: Increase 15 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 247.59 kg\n  Factor of Safety: 1.49\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": 247.58755079874066,
      "fos_buckling": 1.4891412635585553,
      "fos_yielding": 7.71419033040277,
      "deflection": 0.011615630742771482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.647)"
      },
      "parent_node_id": "node_3018",
      "improvement_over_parent": null
    },
    "node_3020": {
      "node_id": "node_3020",
      "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.52872638621218,
      "fos_buckling": 1.5349634840806872,
      "fos_yielding": 7.747019335085027,
      "deflection": 0.011483929559105797,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.422)"
      },
      "parent_node_id": "node_3019",
      "improvement_over_parent": null
    },
    "node_3021": {
      "node_id": "node_3021",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3020",
      "improvement_over_parent": null
    },
    "node_3022": {
      "node_id": "node_3022",
      "content": "INITIAL DESIGN (Trace 429)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 155.42 kg\n  Factor of Safety: 0.51\n  Max Deflection: 2.62e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.42348276287743,
      "fos_buckling": 0.5104996370223279,
      "fos_yielding": 2.7799916729814553,
      "deflection": 0.026196982831173842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3023": {
      "node_id": "node_3023",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 185.57 kg\n  Factor of Safety: 0.59\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": 185.569714648402,
      "fos_buckling": 0.5930832496600447,
      "fos_yielding": 3.3048615248946662,
      "deflection": 0.022019669484532912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_3022",
      "improvement_over_parent": null
    },
    "node_3024": {
      "node_id": "node_3024",
      "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 189.09 kg\n  Factor of Safety: 0.59\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": 189.09047021035354,
      "fos_buckling": 0.592981792010979,
      "fos_yielding": 3.3042992771489446,
      "deflection": 0.021886381523862974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.328)"
      },
      "parent_node_id": "node_3023",
      "improvement_over_parent": null
    },
    "node_3025": {
      "node_id": "node_3025",
      "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 189.29 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.19e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.29412658829085,
      "fos_buckling": 0.5929817920109791,
      "fos_yielding": 3.304299277148945,
      "deflection": 0.021867673460699153,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.185)"
      },
      "parent_node_id": "node_3024",
      "improvement_over_parent": null
    },
    "node_3026": {
      "node_id": "node_3026",
      "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n  Mass: 191.30 kg\n  Factor of Safety: 0.59\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": 191.30237842815913,
      "fos_buckling": 0.5929239357426704,
      "fos_yielding": 3.3039786546548395,
      "deflection": 0.02178938275627117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.196)"
      },
      "parent_node_id": "node_3025",
      "improvement_over_parent": null
    },
    "node_3027": {
      "node_id": "node_3027",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n  Mass: 214.34 kg\n  Factor of Safety: 1.34\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": 214.3371277435434,
      "fos_buckling": 1.3430167234460046,
      "fos_yielding": 6.571779784705799,
      "deflection": 0.013472185434522088,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006812)"
      },
      "parent_node_id": "node_3026",
      "improvement_over_parent": null
    },
    "node_3028": {
      "node_id": "node_3028",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.58224524535026,
      "fos_buckling": 1.5348748295307821,
      "fos_yielding": 7.747795874084344,
      "deflection": 0.011482156612395336,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_3027",
      "improvement_over_parent": null
    },
    "node_3029": {
      "node_id": "node_3029",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3028",
      "improvement_over_parent": null
    },
    "node_3030": {
      "node_id": "node_3030",
      "content": "INITIAL DESIGN (Trace 430)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0028)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0023)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 126.60 kg\n  Factor of Safety: 0.77\n  Max Deflection: 2.31e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.59547150285528,
      "fos_buckling": 0.7744424818613558,
      "fos_yielding": 3.6741426387856344,
      "deflection": 0.02308193685274953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3031": {
      "node_id": "node_3031",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 148.82 kg\n  Factor of Safety: 0.90\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": 148.81941980782688,
      "fos_buckling": 0.8996236869858989,
      "fos_yielding": 4.320496866664504,
      "deflection": 0.01968166251484764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_3030",
      "improvement_over_parent": null
    },
    "node_3032": {
      "node_id": "node_3032",
      "content": "MODIFICATION: Increase 10 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 155.22 kg\n  Factor of Safety: 1.03\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": 155.21575491959942,
      "fos_buckling": 1.0265890867382375,
      "fos_yielding": 4.643809424683628,
      "deflection": 0.018751690544019456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.587)"
      },
      "parent_node_id": "node_3031",
      "improvement_over_parent": null
    },
    "node_3033": {
      "node_id": "node_3033",
      "content": "MODIFICATION: Increase 14 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 159.15 kg\n  Factor of Safety: 1.03\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": 159.14545224427027,
      "fos_buckling": 1.026060912467145,
      "fos_yielding": 4.666737611307029,
      "deflection": 0.018467326998375402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.531)"
      },
      "parent_node_id": "node_3032",
      "improvement_over_parent": null
    },
    "node_3034": {
      "node_id": "node_3034",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 186.84 kg\n  Factor of Safety: 1.18\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": 186.8381116681005,
      "fos_buckling": 1.1788431939983903,
      "fos_yielding": 5.481426761473578,
      "deflection": 0.01577537014520306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_3033",
      "improvement_over_parent": null
    },
    "node_3035": {
      "node_id": "node_3035",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 241.15 kg\n  Factor of Safety: 1.46\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": 241.1524867439938,
      "fos_buckling": 1.4569503779227286,
      "fos_yielding": 7.0820803886725745,
      "deflection": 0.012290531759543175,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_3034",
      "improvement_over_parent": null
    },
    "node_3036": {
      "node_id": "node_3036",
      "content": "MODIFICATION: Increase 0 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.34 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 249.34044446211192,
      "fos_buckling": 1.5351350491148543,
      "fos_yielding": 7.770165564343025,
      "deflection": 0.011582057784973258,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.629)"
      },
      "parent_node_id": "node_3035",
      "improvement_over_parent": null
    },
    "node_3037": {
      "node_id": "node_3037",
      "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.57805944328476,
      "fos_buckling": 1.5346804396637206,
      "fos_yielding": 7.747180535707313,
      "deflection": 0.01148259311989941,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.292)"
      },
      "parent_node_id": "node_3036",
      "improvement_over_parent": null
    },
    "node_3038": {
      "node_id": "node_3038",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3037",
      "improvement_over_parent": null
    },
    "node_3039": {
      "node_id": "node_3039",
      "content": "INITIAL DESIGN (Trace 431)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 152.56 kg\n  Factor of Safety: 1.02\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": 152.55816603482705,
      "fos_buckling": 1.020334209994422,
      "fos_yielding": 4.540534698303043,
      "deflection": 0.01958913327673565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3040": {
      "node_id": "node_3040",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 198.74 kg\n  Factor of Safety: 1.28\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": 198.7416026581018,
      "fos_buckling": 1.2790483335314193,
      "fos_yielding": 5.918620139060865,
      "deflection": 0.015103780818900502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_3039",
      "improvement_over_parent": null
    },
    "node_3041": {
      "node_id": "node_3041",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 241.96 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.25e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 241.96032666899296,
      "fos_buckling": 1.500764741242197,
      "fos_yielding": 7.210097625807069,
      "deflection": 0.012456584410400285,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_3040",
      "improvement_over_parent": null
    },
    "node_3042": {
      "node_id": "node_3042",
      "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 244.48 kg\n  Factor of Safety: 1.50\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": 244.47722058897958,
      "fos_buckling": 1.4977858866015028,
      "fos_yielding": 7.195942110048527,
      "deflection": 0.01238008085871645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.214)"
      },
      "parent_node_id": "node_3041",
      "improvement_over_parent": null
    },
    "node_3043": {
      "node_id": "node_3043",
      "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n  Mass: 252.90 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.89719164965976,
      "fos_buckling": 1.5365885370539851,
      "fos_yielding": 7.757326187067778,
      "deflection": 0.011468337382532912,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.520)"
      },
      "parent_node_id": "node_3042",
      "improvement_over_parent": null
    },
    "node_3044": {
      "node_id": "node_3044",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3043",
      "improvement_over_parent": null
    },
    "node_3045": {
      "node_id": "node_3045",
      "content": "INITIAL DESIGN (Trace 432)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 177.63 kg\n  Factor of Safety: 0.11\n  Max Deflection: 2.05e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.6341003212376,
      "fos_buckling": 0.10980942705755091,
      "fos_yielding": 1.6949155087519892,
      "deflection": 20470474458654.996,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3046": {
      "node_id": "node_3046",
      "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 179.44 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.62e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.44156533987868,
      "fos_buckling": 0.8169215983804964,
      "fos_yielding": 4.172919585652634,
      "deflection": 16172173962651.936,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.178)"
      },
      "parent_node_id": "node_3045",
      "improvement_over_parent": null
    },
    "node_3047": {
      "node_id": "node_3047",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n\nPerformance:\n  Mass: 195.03 kg\n  Factor of Safety: 0.77\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": 195.02908504624077,
      "fos_buckling": 0.7695811062557003,
      "fos_yielding": 4.536664813638305,
      "deflection": 0.015110151779371802,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005520)"
      },
      "parent_node_id": "node_3046",
      "improvement_over_parent": null
    },
    "node_3048": {
      "node_id": "node_3048",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 235.87 kg\n  Factor of Safety: 0.90\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": 235.87464845413484,
      "fos_buckling": 0.9021136176800545,
      "fos_yielding": 5.475215709719406,
      "deflection": 0.012546112324466745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_3047",
      "improvement_over_parent": null
    },
    "node_3049": {
      "node_id": "node_3049",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.54493226039193,
      "fos_buckling": 1.5348880883457479,
      "fos_yielding": 7.746591806857339,
      "deflection": 0.011483854705468083,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_3048",
      "improvement_over_parent": null
    },
    "node_3050": {
      "node_id": "node_3050",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 433)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3052": {
      "node_id": "node_3052",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n\nPerformance:\n  Mass: 125.32 kg\n  Factor of Safety: 0.51\n  Max Deflection: 2.42e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.31681476057345,
      "fos_buckling": 0.5056988655774702,
      "fos_yielding": 2.7881072968600735,
      "deflection": 0.02420171155580915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003240)"
      },
      "parent_node_id": "node_3051",
      "improvement_over_parent": null
    },
    "node_3053": {
      "node_id": "node_3053",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n\nPerformance:\n  Mass: 134.97 kg\n  Factor of Safety: 0.86\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": 134.96564680379348,
      "fos_buckling": 0.8635901182480834,
      "fos_yielding": 4.333755337458493,
      "deflection": 0.021196378891292958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003427)"
      },
      "parent_node_id": "node_3052",
      "improvement_over_parent": null
    },
    "node_3054": {
      "node_id": "node_3054",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 171.47 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.47288757222853,
      "fos_buckling": 1.0732826066413554,
      "fos_yielding": 5.505991348123666,
      "deflection": 0.01675336210207184,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_3053",
      "improvement_over_parent": null
    },
    "node_3055": {
      "node_id": "node_3055",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n  Mass: 193.88 kg\n  Factor of Safety: 1.20\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": 193.88458933339632,
      "fos_buckling": 1.1970205684933082,
      "fos_yielding": 6.225507186487338,
      "deflection": 0.014854668223115958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_3054",
      "improvement_over_parent": null
    },
    "node_3056": {
      "node_id": "node_3056",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 248.89 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.88892622433883,
      "fos_buckling": 1.4846859092581843,
      "fos_yielding": 7.990747617162229,
      "deflection": 0.011644196764870406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_3055",
      "improvement_over_parent": null
    },
    "node_3057": {
      "node_id": "node_3057",
      "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.37 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.366016986327,
      "fos_buckling": 1.5340110264651652,
      "fos_yielding": 7.7415635432909795,
      "deflection": 0.011491677839369892,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.242)"
      },
      "parent_node_id": "node_3056",
      "improvement_over_parent": null
    },
    "node_3058": {
      "node_id": "node_3058",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3057",
      "improvement_over_parent": null
    },
    "node_3059": {
      "node_id": "node_3059",
      "content": "INITIAL DESIGN (Trace 434)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n  Mass: 123.37 kg\n  Factor of Safety: 0.49\n  Max Deflection: 3.67e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.36699924025346,
      "fos_buckling": 0.48733934648581484,
      "fos_yielding": 2.773267479652996,
      "deflection": 0.0367443954106605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3060": {
      "node_id": "node_3060",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n\nPerformance:\n  Mass: 123.73 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.49e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.73368218233304,
      "fos_buckling": 0.4872701780635664,
      "fos_yielding": 2.657460364041669,
      "deflection": 0.024906214414378805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001064)"
      },
      "parent_node_id": "node_3059",
      "improvement_over_parent": null
    },
    "node_3061": {
      "node_id": "node_3061",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n  Mass: 137.98 kg\n  Factor of Safety: 0.54\n  Max Deflection: 2.24e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.9792294593603,
      "fos_buckling": 0.5365227223320622,
      "fos_yielding": 2.955786338880666,
      "deflection": 0.02237494437091894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_3060",
      "improvement_over_parent": null
    },
    "node_3062": {
      "node_id": "node_3062",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n\nPerformance:\n  Mass: 146.53 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.528986834243,
      "fos_buckling": 0.9679308759504004,
      "fos_yielding": 4.489168860934014,
      "deflection": 0.0195543797871075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003480)"
      },
      "parent_node_id": "node_3061",
      "improvement_over_parent": null
    },
    "node_3063": {
      "node_id": "node_3063",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n  Mass: 172.62 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.61727845844422,
      "fos_buckling": 1.1176568047321143,
      "fos_yielding": 5.290005097783724,
      "deflection": 0.016648840061395682,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_3062",
      "improvement_over_parent": null
    },
    "node_3064": {
      "node_id": "node_3064",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n\nPerformance:\n  Mass: 221.87 kg\n  Factor of Safety: 1.38\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": 221.870199315331,
      "fos_buckling": 1.3821029378137275,
      "fos_yielding": 6.803231817700672,
      "deflection": 0.013026095058513869,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_3063",
      "improvement_over_parent": null
    },
    "node_3065": {
      "node_id": "node_3065",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.36435945640193,
      "fos_buckling": 1.534008637589708,
      "fos_yielding": 7.740976576274099,
      "deflection": 0.01149190651963191,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_3064",
      "improvement_over_parent": null
    },
    "node_3066": {
      "node_id": "node_3066",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3065",
      "improvement_over_parent": null
    },
    "node_3067": {
      "node_id": "node_3067",
      "content": "INITIAL DESIGN (Trace 435)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 229.69 kg\n  Factor of Safety: 0.43\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": 229.69455645791845,
      "fos_buckling": 0.4288036525694908,
      "fos_yielding": 4.180880936094657,
      "deflection": 0.013675357263606764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3068": {
      "node_id": "node_3068",
      "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 229.97 kg\n  Factor of Safety: 0.42\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": 229.96823537910726,
      "fos_buckling": 0.42451378208497925,
      "fos_yielding": 4.180880936094657,
      "deflection": 0.01366379141724946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.220)"
      },
      "parent_node_id": "node_3067",
      "improvement_over_parent": null
    },
    "node_3069": {
      "node_id": "node_3069",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 248.82 kg\n  Factor of Safety: 1.44\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": 248.81628339441946,
      "fos_buckling": 1.4372970382608734,
      "fos_yielding": 6.073730328918231,
      "deflection": 0.011664324662758234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_3068",
      "improvement_over_parent": null
    },
    "node_3070": {
      "node_id": "node_3070",
      "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 249.41 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 249.4087536905132,
      "fos_buckling": 1.534573660167318,
      "fos_yielding": 7.723187760096831,
      "deflection": 0.011560790245490343,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.333)"
      },
      "parent_node_id": "node_3069",
      "improvement_over_parent": null
    },
    "node_3071": {
      "node_id": "node_3071",
      "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0083)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 253.20 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.19531363528154,
      "fos_buckling": 1.534138836288184,
      "fos_yielding": 7.706282181331814,
      "deflection": 0.011477519582780416,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.229)"
      },
      "parent_node_id": "node_3070",
      "improvement_over_parent": null
    },
    "node_3072": {
      "node_id": "node_3072",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3071",
      "improvement_over_parent": null
    },
    "node_3073": {
      "node_id": "node_3073",
      "content": "INITIAL DESIGN (Trace 436)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n  Mass: 128.29 kg\n  Factor of Safety: 0.45\n  Max Deflection: 3.02e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.29365896249223,
      "fos_buckling": 0.4520339366652623,
      "fos_yielding": 2.4006934196302345,
      "deflection": 0.030164001204546806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3074": {
      "node_id": "node_3074",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 162.85 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.38e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.84973702103053,
      "fos_buckling": 0.5604390683473018,
      "fos_yielding": 3.0459311821764796,
      "deflection": 0.023831448113933628,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_3073",
      "improvement_over_parent": null
    },
    "node_3075": {
      "node_id": "node_3075",
      "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 164.72 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.37e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.71838226826807,
      "fos_buckling": 0.5612955981436197,
      "fos_yielding": 2.9492762636271115,
      "deflection": 0.023732862838920392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.239)"
      },
      "parent_node_id": "node_3074",
      "improvement_over_parent": null
    },
    "node_3076": {
      "node_id": "node_3076",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n\nPerformance:\n  Mass: 166.40 kg\n  Factor of Safety: 1.08\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": 166.39789023029402,
      "fos_buckling": 1.0826719200853365,
      "fos_yielding": 5.103082595533418,
      "deflection": 0.017257974198903438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002595)"
      },
      "parent_node_id": "node_3075",
      "improvement_over_parent": null
    },
    "node_3077": {
      "node_id": "node_3077",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n  Mass: 195.59 kg\n  Factor of Safety: 1.24\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": 195.5935942680839,
      "fos_buckling": 1.2440818050073406,
      "fos_yielding": 6.000399829463789,
      "deflection": 0.014731106730828055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_3076",
      "improvement_over_parent": null
    },
    "node_3078": {
      "node_id": "node_3078",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.44 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.43866382275584,
      "fos_buckling": 1.5344957982407963,
      "fos_yielding": 7.749169036376006,
      "deflection": 0.011488097512345948,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_3077",
      "improvement_over_parent": null
    },
    "node_3079": {
      "node_id": "node_3079",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3078",
      "improvement_over_parent": null
    },
    "node_3080": {
      "node_id": "node_3080",
      "content": "INITIAL DESIGN (Trace 437)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 149.25 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.51e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.24796408883537,
      "fos_buckling": 0.807419310307032,
      "fos_yielding": 3.389831017503978,
      "deflection": 15061749454292.707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3081": {
      "node_id": "node_3081",
      "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 149.40 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.71e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.39774593845698,
      "fos_buckling": 0.807419310307032,
      "fos_yielding": 3.389831017503978,
      "deflection": 9713904601002.307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.439)"
      },
      "parent_node_id": "node_3080",
      "improvement_over_parent": null
    },
    "node_3082": {
      "node_id": "node_3082",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 174.16 kg\n  Factor of Safety: 0.11\n  Max Deflection: 5.29e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.16437245428617,
      "fos_buckling": 0.1093758913194257,
      "fos_yielding": 0.8474577543759946,
      "deflection": 52930535873349.82,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_3081",
      "improvement_over_parent": null
    },
    "node_3083": {
      "node_id": "node_3083",
      "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 174.55 kg\n  Factor of Safety: 0.05\n  Max Deflection: 5.29e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.55476237445814,
      "fos_buckling": 0.05468794565971285,
      "fos_yielding": 0.8474577543759945,
      "deflection": 52930535873349.82,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.420)"
      },
      "parent_node_id": "node_3082",
      "improvement_over_parent": null
    },
    "node_3084": {
      "node_id": "node_3084",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n  Mass: 197.64 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.63642589973205,
      "fos_buckling": 0.8026763356490275,
      "fos_yielding": 5.808068655016665,
      "deflection": 0.0172678729083383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006827)"
      },
      "parent_node_id": "node_3083",
      "improvement_over_parent": null
    },
    "node_3085": {
      "node_id": "node_3085",
      "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n  Mass: 198.23 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.23007756720872,
      "fos_buckling": 0.8026763356490275,
      "fos_yielding": 5.808068655016666,
      "deflection": 0.0172678729083383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.527)"
      },
      "parent_node_id": "node_3084",
      "improvement_over_parent": null
    },
    "node_3086": {
      "node_id": "node_3086",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 233.06 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.06335616017736,
      "fos_buckling": 0.9157352064967599,
      "fos_yielding": 6.804784839392714,
      "deflection": 0.014745140901947843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_3085",
      "improvement_over_parent": null
    },
    "node_3087": {
      "node_id": "node_3087",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.33 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.32959698108468,
      "fos_buckling": 1.5344222878408504,
      "fos_yielding": 7.7393082478355355,
      "deflection": 0.011493179832625341,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_3086",
      "improvement_over_parent": null
    },
    "node_3088": {
      "node_id": "node_3088",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3087",
      "improvement_over_parent": null
    },
    "node_3089": {
      "node_id": "node_3089",
      "content": "INITIAL DESIGN (Trace 438)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 161.04 kg\n  Factor of Safety: 1.03\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": 161.03688087567693,
      "fos_buckling": 1.0312867111665918,
      "fos_yielding": 4.99244809948908,
      "deflection": 0.017795931368190878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3090": {
      "node_id": "node_3090",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 189.05 kg\n  Factor of Safety: 1.18\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": 189.05371397942903,
      "fos_buckling": 1.1844923229280095,
      "fos_yielding": 5.859387173044821,
      "deflection": 0.015207395985927514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_3089",
      "improvement_over_parent": null
    },
    "node_3091": {
      "node_id": "node_3091",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 210.78 kg\n  Factor of Safety: 1.30\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": 210.7758094802361,
      "fos_buckling": 1.2980452753050304,
      "fos_yielding": 6.531108704890592,
      "deflection": 0.013674047966961306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_3090",
      "improvement_over_parent": null
    },
    "node_3092": {
      "node_id": "node_3092",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 211.38 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.37570981506988,
      "fos_buckling": 1.3004679285549618,
      "fos_yielding": 6.814661672909418,
      "deflection": 0.013634282692588682,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001794)"
      },
      "parent_node_id": "node_3091",
      "improvement_over_parent": null
    },
    "node_3093": {
      "node_id": "node_3093",
      "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0066)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n  Mass: 214.38 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.3750896482281,
      "fos_buckling": 1.2988743098165694,
      "fos_yielding": 6.692193455953139,
      "deflection": 0.01357075651712864,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.233)"
      },
      "parent_node_id": "node_3092",
      "improvement_over_parent": null
    },
    "node_3094": {
      "node_id": "node_3094",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0079)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 251.83 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.82842675099508,
      "fos_buckling": 1.4814374650758964,
      "fos_yielding": 7.864804603356264,
      "deflection": 0.01159988281536003,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_3093",
      "improvement_over_parent": null
    },
    "node_3095": {
      "node_id": "node_3095",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3094",
      "improvement_over_parent": null
    },
    "node_3096": {
      "node_id": "node_3096",
      "content": "INITIAL DESIGN (Trace 439)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 144.30 kg\n  Factor of Safety: 0.34\n  Max Deflection: 4.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.29645137205017,
      "fos_buckling": 0.33787681809969883,
      "fos_yielding": 1.3703087723454637,
      "deflection": 0.0410391153356932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3097": {
      "node_id": "node_3097",
      "content": "MODIFICATION: Increase 10 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 147.40 kg\n  Factor of Safety: 0.34\n  Max Deflection: 4.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.3956826892131,
      "fos_buckling": 0.3377233868963335,
      "fos_yielding": 1.3698761024204245,
      "deflection": 0.040197280792245695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.370)"
      },
      "parent_node_id": "node_3096",
      "improvement_over_parent": null
    },
    "node_3098": {
      "node_id": "node_3098",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 161.29 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.33e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.28969633963396,
      "fos_buckling": 0.33726565636100286,
      "fos_yielding": 1.3680323263968235,
      "deflection": 0.03332323897534872,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005007)"
      },
      "parent_node_id": "node_3097",
      "improvement_over_parent": null
    },
    "node_3099": {
      "node_id": "node_3099",
      "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 163.97 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.30e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.96705011994666,
      "fos_buckling": 0.33717759497866445,
      "fos_yielding": 1.3676776039678915,
      "deflection": 0.0330491253248932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.211)"
      },
      "parent_node_id": "node_3098",
      "improvement_over_parent": null
    },
    "node_3100": {
      "node_id": "node_3100",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 194.16 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.80e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.16489710780144,
      "fos_buckling": 0.38904327701653846,
      "fos_yielding": 1.6128637947172146,
      "deflection": 0.028015426530723555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_3099",
      "improvement_over_parent": null
    },
    "node_3101": {
      "node_id": "node_3101",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.40 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.39575823488897,
      "fos_buckling": 0.44251961959193103,
      "fos_yielding": 1.880342463366935,
      "deflection": 0.02402125125449805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_3100",
      "improvement_over_parent": null
    },
    "node_3102": {
      "node_id": "node_3102",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.51789988673582,
      "fos_buckling": 1.5346497636620329,
      "fos_yielding": 7.74652019510973,
      "deflection": 0.01148489235848864,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_3101",
      "improvement_over_parent": null
    },
    "node_3103": {
      "node_id": "node_3103",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3102",
      "improvement_over_parent": null
    },
    "node_3104": {
      "node_id": "node_3104",
      "content": "INITIAL DESIGN (Trace 440)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 204.98 kg\n  Factor of Safety: 0.82\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": 204.98178371406783,
      "fos_buckling": 0.8201622713432806,
      "fos_yielding": 4.8812328771858,
      "deflection": 0.014332396281612675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3105": {
      "node_id": "node_3105",
      "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 210.24 kg\n  Factor of Safety: 0.82\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": 210.24202871783444,
      "fos_buckling": 0.8201622713432805,
      "fos_yielding": 4.887698041534542,
      "deflection": 0.014038164323231676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.333)"
      },
      "parent_node_id": "node_3104",
      "improvement_over_parent": null
    },
    "node_3106": {
      "node_id": "node_3106",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n  Mass: 225.10 kg\n  Factor of Safety: 1.40\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": 225.10371576390463,
      "fos_buckling": 1.3987376430428546,
      "fos_yielding": 6.9037491243482245,
      "deflection": 0.012843847271538315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005631)"
      },
      "parent_node_id": "node_3105",
      "improvement_over_parent": null
    },
    "node_3107": {
      "node_id": "node_3107",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.55356305768936,
      "fos_buckling": 1.53502953307127,
      "fos_yielding": 7.748032693115104,
      "deflection": 0.011483662932678796,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_3106",
      "improvement_over_parent": null
    },
    "node_3108": {
      "node_id": "node_3108",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3107",
      "improvement_over_parent": null
    },
    "node_3109": {
      "node_id": "node_3109",
      "content": "INITIAL DESIGN (Trace 441)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 150.32 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.63e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.31988604849016,
      "fos_buckling": 0.5217638704492454,
      "fos_yielding": 3.5362522057211567,
      "deflection": 0.02628649339565558,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3110": {
      "node_id": "node_3110",
      "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 150.60 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.63e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.60119264532713,
      "fos_buckling": 0.5217352508186061,
      "fos_yielding": 3.5360582363075936,
      "deflection": 0.02627449486008238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.179)"
      },
      "parent_node_id": "node_3109",
      "improvement_over_parent": null
    },
    "node_3111": {
      "node_id": "node_3111",
      "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 157.42 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.36e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.4238656052128,
      "fos_buckling": 0.6867215241438486,
      "fos_yielding": 3.5337077090753928,
      "deflection": 0.02355808310765247,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.517)"
      },
      "parent_node_id": "node_3110",
      "improvement_over_parent": null
    },
    "node_3112": {
      "node_id": "node_3112",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n  Mass: 171.16 kg\n  Factor of Safety: 0.74\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.15761161145636,
      "fos_buckling": 0.7404938048498118,
      "fos_yielding": 3.5313451074333004,
      "deflection": 0.021470260711075734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004980)"
      },
      "parent_node_id": "node_3111",
      "improvement_over_parent": null
    },
    "node_3113": {
      "node_id": "node_3113",
      "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n  Mass: 176.93 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.93080481252358,
      "fos_buckling": 0.7400778038899744,
      "fos_yielding": 5.290263707895092,
      "deflection": 0.018969348036761605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.534)"
      },
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n\nPerformance:\n  Mass: 194.90 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.90475029775428,
      "fos_buckling": 1.2398820138478164,
      "fos_yielding": 5.972776151523884,
      "deflection": 0.014782333561573836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005697)"
      },
      "parent_node_id": "node_3113",
      "improvement_over_parent": null
    },
    "node_3115": {
      "node_id": "node_3115",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.61221190930792,
      "fos_buckling": 1.5347652307217265,
      "fos_yielding": 7.74637374537878,
      "deflection": 0.01148067349267821,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_3114",
      "improvement_over_parent": null
    },
    "node_3116": {
      "node_id": "node_3116",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3115",
      "improvement_over_parent": null
    },
    "node_3117": {
      "node_id": "node_3117",
      "content": "INITIAL DESIGN (Trace 442)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 111.21 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.93e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.20955260489241,
      "fos_buckling": 0.261279536838161,
      "fos_yielding": 1.8059540348014744,
      "deflection": 0.0392546720630744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3118": {
      "node_id": "node_3118",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 112.76 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.92e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.76238190450331,
      "fos_buckling": 0.249494193364524,
      "fos_yielding": 1.805954034801478,
      "deflection": 0.03916273116214577,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.239)"
      },
      "parent_node_id": "node_3117",
      "improvement_over_parent": null
    },
    "node_3119": {
      "node_id": "node_3119",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 117.44 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.62e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.44326682658152,
      "fos_buckling": 0.2491471882547328,
      "fos_yielding": 1.8051186588256118,
      "deflection": 0.03623271887951861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.511)"
      },
      "parent_node_id": "node_3118",
      "improvement_over_parent": null
    },
    "node_3120": {
      "node_id": "node_3120",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n\nPerformance:\n  Mass: 132.88 kg\n  Factor of Safety: 0.25\n  Max Deflection: 2.33e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.87849750643568,
      "fos_buckling": 0.2487668833747901,
      "fos_yielding": 3.05360129128207,
      "deflection": 0.02331753740804113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004449)"
      },
      "parent_node_id": "node_3119",
      "improvement_over_parent": null
    },
    "node_3121": {
      "node_id": "node_3121",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n\nPerformance:\n  Mass: 150.72 kg\n  Factor of Safety: 0.28\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.7196078313421,
      "fos_buckling": 0.27849088511191017,
      "fos_yielding": 3.46429082005769,
      "deflection": 0.02059263748828542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_3120",
      "improvement_over_parent": null
    },
    "node_3122": {
      "node_id": "node_3122",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n  Mass: 184.16 kg\n  Factor of Safety: 0.33\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.15578567419735,
      "fos_buckling": 0.3318586241484947,
      "fos_yielding": 4.2344108060898265,
      "deflection": 0.0169078319522208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_3121",
      "improvement_over_parent": null
    },
    "node_3123": {
      "node_id": "node_3123",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n  Mass: 198.99 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.99399837873085,
      "fos_buckling": 1.262281931139207,
      "fos_yielding": 6.09963334479655,
      "deflection": 0.014484602261484956,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005235)"
      },
      "parent_node_id": "node_3122",
      "improvement_over_parent": null
    },
    "node_3124": {
      "node_id": "node_3124",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.82 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.82336215103854,
      "fos_buckling": 1.5362866312905874,
      "fos_yielding": 7.754415548010725,
      "deflection": 0.011470792078826415,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_3123",
      "improvement_over_parent": null
    },
    "node_3125": {
      "node_id": "node_3125",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3124",
      "improvement_over_parent": null
    },
    "node_3126": {
      "node_id": "node_3126",
      "content": "INITIAL DESIGN (Trace 443)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 111.07 kg\n  Factor of Safety: 0.45\n  Max Deflection: 4.01e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.07458065223064,
      "fos_buckling": 0.44974129832735243,
      "fos_yielding": 2.556630593351558,
      "deflection": 0.04009908559623322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3127": {
      "node_id": "node_3127",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 130.98 kg\n  Factor of Safety: 0.52\n  Max Deflection: 3.41e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.98467471792802,
      "fos_buckling": 0.5209413182542905,
      "fos_yielding": 3.0124979958350577,
      "deflection": 0.03411157320199771,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_3126",
      "improvement_over_parent": null
    },
    "node_3128": {
      "node_id": "node_3128",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n\nPerformance:\n  Mass: 131.38 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.32e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.37960904053733,
      "fos_buckling": 0.5208618021200754,
      "fos_yielding": 2.873900714926995,
      "deflection": 0.023219701210828097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001150)"
      },
      "parent_node_id": "node_3127",
      "improvement_over_parent": null
    },
    "node_3129": {
      "node_id": "node_3129",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n\nPerformance:\n  Mass: 141.35 kg\n  Factor of Safety: 0.90\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.35315552955228,
      "fos_buckling": 0.9020219110997065,
      "fos_yielding": 4.315987593932343,
      "deflection": 0.020310092897569618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003548)"
      },
      "parent_node_id": "node_3128",
      "improvement_over_parent": null
    },
    "node_3130": {
      "node_id": "node_3130",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 171.59 kg\n  Factor of Safety: 1.07\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": 171.59411312614236,
      "fos_buckling": 1.0748595964563015,
      "fos_yielding": 5.2247932395717855,
      "deflection": 0.016788600720673324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_3129",
      "improvement_over_parent": null
    },
    "node_3131": {
      "node_id": "node_3131",
      "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 171.90 kg\n  Factor of Safety: 1.11\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": 171.90285343607746,
      "fos_buckling": 1.1137327912809538,
      "fos_yielding": 5.268200701783662,
      "deflection": 0.016715992503200758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.287)"
      },
      "parent_node_id": "node_3130",
      "improvement_over_parent": null
    },
    "node_3132": {
      "node_id": "node_3132",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n  Mass: 219.88 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.88044933857893,
      "fos_buckling": 1.371979645714218,
      "fos_yielding": 6.7422310484681125,
      "deflection": 0.013140475867897697,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_3131",
      "improvement_over_parent": null
    },
    "node_3133": {
      "node_id": "node_3133",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 252.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.50327379079354,
      "fos_buckling": 1.5347891512975558,
      "fos_yielding": 7.745434592692282,
      "deflection": 0.011485323887691237,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_3132",
      "improvement_over_parent": null
    },
    "node_3134": {
      "node_id": "node_3134",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3133",
      "improvement_over_parent": null
    },
    "node_3135": {
      "node_id": "node_3135",
      "content": "INITIAL DESIGN (Trace 444)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 186.54 kg\n  Factor of Safety: 0.78\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": 186.54272250056837,
      "fos_buckling": 0.7838932962411083,
      "fos_yielding": 5.651100171686591,
      "deflection": 0.018616707954215245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3136": {
      "node_id": "node_3136",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 226.05 kg\n  Factor of Safety: 0.92\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": 226.05318642399118,
      "fos_buckling": 0.9169216006162485,
      "fos_yielding": 6.818065695104597,
      "deflection": 0.015425422208871878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_3135",
      "improvement_over_parent": null
    },
    "node_3137": {
      "node_id": "node_3137",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 245.32 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.22e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 245.3194272448985,
      "fos_buckling": 1.5162691953607041,
      "fos_yielding": 7.2991328645094775,
      "deflection": 0.012209299334603152,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_3136",
      "improvement_over_parent": null
    },
    "node_3138": {
      "node_id": "node_3138",
      "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.32 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.32094496442616,
      "fos_buckling": 1.5348094946303101,
      "fos_yielding": 7.744256396920054,
      "deflection": 0.011496903056722985,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.401)"
      },
      "parent_node_id": "node_3137",
      "improvement_over_parent": null
    },
    "node_3139": {
      "node_id": "node_3139",
      "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0096)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 256.71 kg\n  Factor of Safety: 1.58\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.70679512927,
      "fos_buckling": 1.5762624149794948,
      "fos_yielding": 7.980254408072642,
      "deflection": 0.011277209212303123,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.181)"
      },
      "parent_node_id": "node_3138",
      "improvement_over_parent": null
    },
    "node_3140": {
      "node_id": "node_3140",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 445)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 175.41 kg\n  Factor of Safety: 0.32\n  Max Deflection: 6.59e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.41031745536557,
      "fos_buckling": 0.3226142270628038,
      "fos_yielding": 2.348870051885453,
      "deflection": 0.06585056610848289,
      "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: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 195.19 kg\n  Factor of Safety: 0.35\n  Max Deflection: 5.93e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.18621294384752,
      "fos_buckling": 0.35241144016639975,
      "fos_yielding": 2.604816683481246,
      "deflection": 0.059338709418533905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_3141",
      "improvement_over_parent": null
    },
    "node_3143": {
      "node_id": "node_3143",
      "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 195.75 kg\n  Factor of Safety: 0.35\n  Max Deflection: 5.93e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.75216812378574,
      "fos_buckling": 0.3523730298071772,
      "fos_yielding": 2.604533998078466,
      "deflection": 0.059323399263282964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.368)"
      },
      "parent_node_id": "node_3142",
      "improvement_over_parent": null
    },
    "node_3144": {
      "node_id": "node_3144",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n  Mass: 217.76 kg\n  Factor of Safety: 1.31\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": 217.75904618846334,
      "fos_buckling": 1.31286919108742,
      "fos_yielding": 6.578732976433407,
      "deflection": 0.013201829430185143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007047)"
      },
      "parent_node_id": "node_3143",
      "improvement_over_parent": null
    },
    "node_3145": {
      "node_id": "node_3145",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 248.71 kg\n  Factor of Safety: 1.46\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": 248.71275844667443,
      "fos_buckling": 1.4591985004213144,
      "fos_yielding": 7.5140300192853555,
      "deflection": 0.011600394668025702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_3144",
      "improvement_over_parent": null
    },
    "node_3146": {
      "node_id": "node_3146",
      "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 251.79 kg\n  Factor of Safety: 1.50\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": 251.79016466714128,
      "fos_buckling": 1.497693272855507,
      "fos_yielding": 7.430423455168633,
      "deflection": 0.01152052640683313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.274)"
      },
      "parent_node_id": "node_3145",
      "improvement_over_parent": null
    },
    "node_3147": {
      "node_id": "node_3147",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.49448551406232,
      "fos_buckling": 1.534634362676658,
      "fos_yielding": 7.747212601096619,
      "deflection": 0.011485713670836556,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_3146",
      "improvement_over_parent": null
    },
    "node_3148": {
      "node_id": "node_3148",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3147",
      "improvement_over_parent": null
    },
    "node_3149": {
      "node_id": "node_3149",
      "content": "INITIAL DESIGN (Trace 446)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n  Mass: 159.11 kg\n  Factor of Safety: 0.54\n  Max Deflection: 2.46e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.11439456937114,
      "fos_buckling": 0.5442407113127117,
      "fos_yielding": 2.8486322610613017,
      "deflection": 0.024558457243210652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3150": {
      "node_id": "node_3150",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 191.81 kg\n  Factor of Safety: 0.64\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": 191.81215805668168,
      "fos_buckling": 0.6415961223573154,
      "fos_yielding": 3.433254470384602,
      "deflection": 0.020425214515388406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_3149",
      "improvement_over_parent": null
    },
    "node_3151": {
      "node_id": "node_3151",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n\nPerformance:\n  Mass: 193.77 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.76549449058376,
      "fos_buckling": 1.234120985215765,
      "fos_yielding": 5.93748765230736,
      "deflection": 0.014867606264785383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003048)"
      },
      "parent_node_id": "node_3150",
      "improvement_over_parent": null
    },
    "node_3152": {
      "node_id": "node_3152",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.55176355088759,
      "fos_buckling": 1.5349248225963095,
      "fos_yielding": 7.7441260028369285,
      "deflection": 0.011483565486015045,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_3151",
      "improvement_over_parent": null
    },
    "node_3153": {
      "node_id": "node_3153",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 447)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n  Mass: 138.24 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.46e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.24150891912774,
      "fos_buckling": 0.588345136907029,
      "fos_yielding": 4.07535400484727,
      "deflection": 0.024595344576480136,
      "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: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n\nPerformance:\n  Mass: 149.66 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.6614459737567,
      "fos_buckling": 0.9862850261473542,
      "fos_yielding": 4.585447207424865,
      "deflection": 0.019151718754007778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004068)"
      },
      "parent_node_id": "node_3154",
      "improvement_over_parent": null
    },
    "node_3156": {
      "node_id": "node_3156",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n\nPerformance:\n  Mass: 185.16 kg\n  Factor of Safety: 1.19\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": 185.15761377354812,
      "fos_buckling": 1.187263900551224,
      "fos_yielding": 5.675305685898192,
      "deflection": 0.015543339812033215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_3155",
      "improvement_over_parent": null
    },
    "node_3157": {
      "node_id": "node_3157",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 209.55 kg\n  Factor of Safety: 1.32\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": 209.5480438323321,
      "fos_buckling": 1.318189831307739,
      "fos_yielding": 6.424690559715287,
      "deflection": 0.013772511511760194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_3156",
      "improvement_over_parent": null
    },
    "node_3158": {
      "node_id": "node_3158",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.48040116202134,
      "fos_buckling": 1.5345962106778208,
      "fos_yielding": 7.74478201486932,
      "deflection": 0.011486619901047717,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_3157",
      "improvement_over_parent": null
    },
    "node_3159": {
      "node_id": "node_3159",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3158",
      "improvement_over_parent": null
    },
    "node_3160": {
      "node_id": "node_3160",
      "content": "INITIAL DESIGN (Trace 448)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 142.97 kg\n  Factor of Safety: 0.46\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": 142.97079241262648,
      "fos_buckling": 0.45562592157288995,
      "fos_yielding": 2.943722269556869,
      "deflection": 11847011280095.096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3161": {
      "node_id": "node_3161",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 171.10 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.06e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.0982285663912,
      "fos_buckling": 0.3674557126463138,
      "fos_yielding": 3.9437870821908323,
      "deflection": 10572178260659.656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_3160",
      "improvement_over_parent": null
    },
    "node_3162": {
      "node_id": "node_3162",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n\nPerformance:\n  Mass: 183.00 kg\n  Factor of Safety: 0.66\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": 182.99994575300965,
      "fos_buckling": 0.6638230219541279,
      "fos_yielding": 4.833671227581837,
      "deflection": 0.017830114450841168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004946)"
      },
      "parent_node_id": "node_3161",
      "improvement_over_parent": null
    },
    "node_3163": {
      "node_id": "node_3163",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n\nPerformance:\n  Mass: 196.47 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.4744201344384,
      "fos_buckling": 1.1502037514379695,
      "fos_yielding": 6.411521148748503,
      "deflection": 0.014599914042023788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005065)"
      },
      "parent_node_id": "node_3162",
      "improvement_over_parent": null
    },
    "node_3164": {
      "node_id": "node_3164",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 243.31 kg\n  Factor of Safety: 1.39\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": 243.3106369902428,
      "fos_buckling": 1.3882346736991216,
      "fos_yielding": 7.932124541674993,
      "deflection": 0.011852962034292692,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_3163",
      "improvement_over_parent": null
    },
    "node_3165": {
      "node_id": "node_3165",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 244.01 kg\n  Factor of Safety: 1.38\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": 244.01495783716385,
      "fos_buckling": 1.3848921421671372,
      "fos_yielding": 8.199402472117338,
      "deflection": 0.011834617496799888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_3164",
      "improvement_over_parent": null
    },
    "node_3166": {
      "node_id": "node_3166",
      "content": "MODIFICATION: Increase 3 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 249.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 249.27611625057384,
      "fos_buckling": 1.5360316611900173,
      "fos_yielding": 7.77686016174526,
      "deflection": 0.01158296505116898,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.412)"
      },
      "parent_node_id": "node_3165",
      "improvement_over_parent": null
    },
    "node_3167": {
      "node_id": "node_3167",
      "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.68 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.68081966828808,
      "fos_buckling": 1.5355510108222383,
      "fos_yielding": 7.752423595662808,
      "deflection": 0.011477386553482936,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.311)"
      },
      "parent_node_id": "node_3166",
      "improvement_over_parent": null
    },
    "node_3168": {
      "node_id": "node_3168",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3167",
      "improvement_over_parent": null
    },
    "node_3169": {
      "node_id": "node_3169",
      "content": "INITIAL DESIGN (Trace 449)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n  Mass: 175.13 kg\n  Factor of Safety: 0.39\n  Max Deflection: 3.31e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.13457550546246,
      "fos_buckling": 0.3930297170604896,
      "fos_yielding": 1.694915508751989,
      "deflection": 33060897147099.703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3170": {
      "node_id": "node_3170",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n  Mass: 191.78 kg\n  Factor of Safety: 0.71\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": 191.77650773984922,
      "fos_buckling": 0.705211220683481,
      "fos_yielding": 5.196782660158086,
      "deflection": 0.016096726574505824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005925)"
      },
      "parent_node_id": "node_3169",
      "improvement_over_parent": null
    },
    "node_3171": {
      "node_id": "node_3171",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n  Mass: 206.49 kg\n  Factor of Safety: 0.40\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": 206.4947037472788,
      "fos_buckling": 0.4042196792211214,
      "fos_yielding": 5.175106632727737,
      "deflection": 0.01527553878341071,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005572)"
      },
      "parent_node_id": "node_3170",
      "improvement_over_parent": null
    },
    "node_3172": {
      "node_id": "node_3172",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 233.75 kg\n  Factor of Safety: 0.45\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": 233.7469641279565,
      "fos_buckling": 0.44583533640675405,
      "fos_yielding": 5.8222857677630815,
      "deflection": 0.013541850177223801,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_3171",
      "improvement_over_parent": null
    },
    "node_3173": {
      "node_id": "node_3173",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3624901843238,
      "fos_buckling": 1.5339910554443341,
      "fos_yielding": 7.740783024918548,
      "deflection": 0.01149200859161457,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_3172",
      "improvement_over_parent": null
    },
    "node_3174": {
      "node_id": "node_3174",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3173",
      "improvement_over_parent": null
    },
    "node_3175": {
      "node_id": "node_3175",
      "content": "INITIAL DESIGN (Trace 450)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n  Mass: 186.21 kg\n  Factor of Safety: 1.00\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": 186.2113924747169,
      "fos_buckling": 1.0037742341892166,
      "fos_yielding": 6.38233486667722,
      "deflection": 0.01526651017819571,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3176": {
      "node_id": "node_3176",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 238.20 kg\n  Factor of Safety: 1.24\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": 238.20232885394077,
      "fos_buckling": 1.2432699546444104,
      "fos_yielding": 8.154893917084127,
      "deflection": 0.012007816374704813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_3175",
      "improvement_over_parent": null
    },
    "node_3177": {
      "node_id": "node_3177",
      "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 243.32 kg\n  Factor of Safety: 1.24\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": 243.32084459985134,
      "fos_buckling": 1.24323608139791,
      "fos_yielding": 7.749958632220619,
      "deflection": 0.011764684048788237,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.397)"
      },
      "parent_node_id": "node_3176",
      "improvement_over_parent": null
    },
    "node_3178": {
      "node_id": "node_3178",
      "content": "MODIFICATION: Increase 14 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 247.21 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.2052148920188,
      "fos_buckling": 1.3158521719786496,
      "fos_yielding": 7.774752671506918,
      "deflection": 0.011648386214139798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.307)"
      },
      "parent_node_id": "node_3177",
      "improvement_over_parent": null
    },
    "node_3179": {
      "node_id": "node_3179",
      "content": "MODIFICATION: Increase 15 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.34 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.33685924790245,
      "fos_buckling": 1.5340557861085737,
      "fos_yielding": 7.739945260448096,
      "deflection": 0.011492663675719834,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.418)"
      },
      "parent_node_id": "node_3178",
      "improvement_over_parent": null
    },
    "node_3180": {
      "node_id": "node_3180",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3179",
      "improvement_over_parent": null
    },
    "node_3181": {
      "node_id": "node_3181",
      "content": "INITIAL DESIGN (Trace 451)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 174.75 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.74587347020568,
      "fos_buckling": 0.9047254227734765,
      "fos_yielding": 5.4724349184927075,
      "deflection": 0.017089187086906443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3182": {
      "node_id": "node_3182",
      "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 181.13 kg\n  Factor of Safety: 1.07\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": 181.12531796044118,
      "fos_buckling": 1.0675509751024415,
      "fos_yielding": 5.946968210898275,
      "deflection": 0.01589693399148554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.567)"
      },
      "parent_node_id": "node_3181",
      "improvement_over_parent": null
    },
    "node_3183": {
      "node_id": "node_3183",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 218.61 kg\n  Factor of Safety: 1.26\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": 218.6105190621669,
      "fos_buckling": 1.2622145927725232,
      "fos_yielding": 7.1759966644015964,
      "deflection": 0.013226782648279922,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_3182",
      "improvement_over_parent": null
    },
    "node_3184": {
      "node_id": "node_3184",
      "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 222.96 kg\n  Factor of Safety: 1.39\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": 222.9607859390535,
      "fos_buckling": 1.3878533303381555,
      "fos_yielding": 6.8381558573919925,
      "deflection": 0.012964459194436227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.372)"
      },
      "parent_node_id": "node_3183",
      "improvement_over_parent": null
    },
    "node_3185": {
      "node_id": "node_3185",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.39 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.38571999376651,
      "fos_buckling": 1.5342856705160628,
      "fos_yielding": 7.7432004161344565,
      "deflection": 0.011491371627198278,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_3184",
      "improvement_over_parent": null
    },
    "node_3186": {
      "node_id": "node_3186",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 452)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 208.25 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.24958737827401,
      "fos_buckling": 0.4248680599608044,
      "fos_yielding": 4.096127986861527,
      "deflection": 0.017086636151925832,
      "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 7 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 208.35 kg\n  Factor of Safety: 0.47\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": 208.34971637227713,
      "fos_buckling": 0.473435502069018,
      "fos_yielding": 4.095973411275128,
      "deflection": 0.01707096183784243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.182)"
      },
      "parent_node_id": "node_3187",
      "improvement_over_parent": null
    },
    "node_3189": {
      "node_id": "node_3189",
      "content": "MODIFICATION: Increase 11 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 214.09 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.09486183570687,
      "fos_buckling": 0.4116163943029896,
      "fos_yielding": 4.089332582887845,
      "deflection": 0.016969454557806355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.577)"
      },
      "parent_node_id": "node_3188",
      "improvement_over_parent": null
    },
    "node_3190": {
      "node_id": "node_3190",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 227.98 kg\n  Factor of Safety: 0.92\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": 227.98449267811787,
      "fos_buckling": 0.9160065249570766,
      "fos_yielding": 6.810931530313949,
      "deflection": 0.014920090855809436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004912)"
      },
      "parent_node_id": "node_3189",
      "improvement_over_parent": null
    },
    "node_3191": {
      "node_id": "node_3191",
      "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 228.47 kg\n  Factor of Safety: 0.92\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": 228.47466025778553,
      "fos_buckling": 0.916006524957077,
      "fos_yielding": 6.810931530313949,
      "deflection": 0.014878978282236272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.468)"
      },
      "parent_node_id": "node_3190",
      "improvement_over_parent": null
    },
    "node_3192": {
      "node_id": "node_3192",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 247.74 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.74090107869284,
      "fos_buckling": 1.3405000341740483,
      "fos_yielding": 7.776105303683882,
      "deflection": 0.011627071164097124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_3191",
      "improvement_over_parent": null
    },
    "node_3193": {
      "node_id": "node_3193",
      "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0098)]\n\nPerformance:\n  Mass: 254.05 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.04641049069093,
      "fos_buckling": 1.340238578256724,
      "fos_yielding": 7.482997252269979,
      "deflection": 0.011439516430867384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.374)"
      },
      "parent_node_id": "node_3192",
      "improvement_over_parent": null
    },
    "node_3194": {
      "node_id": "node_3194",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3193",
      "improvement_over_parent": null
    },
    "node_3195": {
      "node_id": "node_3195",
      "content": "INITIAL DESIGN (Trace 453)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 173.30 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.06e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.3041995642849,
      "fos_buckling": 0.65764488654593,
      "fos_yielding": 6.42994092261604,
      "deflection": 10598256943723.623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3196": {
      "node_id": "node_3196",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n  Mass: 186.41 kg\n  Factor of Safety: 0.70\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": 186.41201017224404,
      "fos_buckling": 0.6956262809487209,
      "fos_yielding": 4.177712657176318,
      "deflection": 0.024580754280215063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004917)"
      },
      "parent_node_id": "node_3195",
      "improvement_over_parent": null
    },
    "node_3197": {
      "node_id": "node_3197",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n  Mass: 197.99 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.99103323972184,
      "fos_buckling": 1.2342302190928458,
      "fos_yielding": 5.838872852282973,
      "deflection": 0.01456188286239145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004802)"
      },
      "parent_node_id": "node_3196",
      "improvement_over_parent": null
    },
    "node_3198": {
      "node_id": "node_3198",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n  Mass: 198.54 kg\n  Factor of Safety: 1.26\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": 198.54485872606062,
      "fos_buckling": 1.2598603620649267,
      "fos_yielding": 6.086584019988766,
      "deflection": 0.014517451608161468,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001646)"
      },
      "parent_node_id": "node_3197",
      "improvement_over_parent": null
    },
    "node_3199": {
      "node_id": "node_3199",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.619959529705,
      "fos_buckling": 1.535288080751101,
      "fos_yielding": 7.7490907977791155,
      "deflection": 0.011480406819610725,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_3198",
      "improvement_over_parent": null
    },
    "node_3200": {
      "node_id": "node_3200",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3199",
      "improvement_over_parent": null
    },
    "node_3201": {
      "node_id": "node_3201",
      "content": "INITIAL DESIGN (Trace 454)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 121.01 kg\n  Factor of Safety: 0.29\n  Max Deflection: 4.90e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.00679479374828,
      "fos_buckling": 0.2930600157520625,
      "fos_yielding": 1.1441775952750646,
      "deflection": 0.04897848308216837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3202": {
      "node_id": "node_3202",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n  Mass: 148.65 kg\n  Factor of Safety: 0.35\n  Max Deflection: 4.00e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.65369506455164,
      "fos_buckling": 0.35053318099402375,
      "fos_yielding": 1.4000987815680137,
      "deflection": 0.04000333596326467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_3201",
      "improvement_over_parent": null
    },
    "node_3203": {
      "node_id": "node_3203",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 168.35 kg\n  Factor of Safety: 0.39\n  Max Deflection: 3.54e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.34556346137447,
      "fos_buckling": 0.3893551330996582,
      "fos_yielding": 1.5811729943126398,
      "deflection": 0.035408408773894604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_3202",
      "improvement_over_parent": null
    },
    "node_3204": {
      "node_id": "node_3204",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 170.66 kg\n  Factor of Safety: 0.39\n  Max Deflection: 3.53e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.65811170615325,
      "fos_buckling": 0.38931125464513366,
      "fos_yielding": 1.613492289752868,
      "deflection": 0.03525944564088797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.244)"
      },
      "parent_node_id": "node_3203",
      "improvement_over_parent": null
    },
    "node_3205": {
      "node_id": "node_3205",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n  Mass: 193.77 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.81e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.77416834960673,
      "fos_buckling": 0.388436113783431,
      "fos_yielding": 1.609894883521211,
      "deflection": 0.028068365431583718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006838)"
      },
      "parent_node_id": "node_3204",
      "improvement_over_parent": null
    },
    "node_3206": {
      "node_id": "node_3206",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.64036850975597,
      "fos_buckling": 0.4429468658720509,
      "fos_yielding": 1.8825210939285293,
      "deflection": 0.023994348835608133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_3205",
      "improvement_over_parent": null
    },
    "node_3207": {
      "node_id": "node_3207",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.76 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.76251016160282,
      "fos_buckling": 1.5355530138624913,
      "fos_yielding": 7.755649695416219,
      "deflection": 0.011475246084568989,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_3206",
      "improvement_over_parent": null
    },
    "node_3208": {
      "node_id": "node_3208",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 455)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0030)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 153.21 kg\n  Factor of Safety: 0.77\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": 153.21334048172392,
      "fos_buckling": 0.7704431861941812,
      "fos_yielding": 4.5083416992242915,
      "deflection": 0.019171460630008956,
      "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 12 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0030)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 154.76 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.75582936738303,
      "fos_buckling": 0.7696814434701424,
      "fos_yielding": 4.445686080000868,
      "deflection": 0.019097123041028126,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.179)"
      },
      "parent_node_id": "node_3209",
      "improvement_over_parent": null
    },
    "node_3211": {
      "node_id": "node_3211",
      "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n  Mass: 161.42 kg\n  Factor of Safety: 1.05\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": 161.41821120890293,
      "fos_buckling": 1.0544257592693513,
      "fos_yielding": 4.946984137497172,
      "deflection": 0.01778019487134373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.658)"
      },
      "parent_node_id": "node_3210",
      "improvement_over_parent": null
    },
    "node_3212": {
      "node_id": "node_3212",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 200.66 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.6643894304377,
      "fos_buckling": 1.271400560191193,
      "fos_yielding": 6.152503237457516,
      "deflection": 0.014367158639475389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_3211",
      "improvement_over_parent": null
    },
    "node_3213": {
      "node_id": "node_3213",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.21 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.21438492582794,
      "fos_buckling": 1.5335589766854656,
      "fos_yielding": 7.737589211018611,
      "deflection": 0.01149799899837705,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_3212",
      "improvement_over_parent": null
    },
    "node_3214": {
      "node_id": "node_3214",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3213",
      "improvement_over_parent": null
    },
    "node_3215": {
      "node_id": "node_3215",
      "content": "INITIAL DESIGN (Trace 456)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 215.32 kg\n  Factor of Safety: 0.41\n  Max Deflection: 3.22e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.32495348898144,
      "fos_buckling": 0.4060436545163756,
      "fos_yielding": 3.578320982819086,
      "deflection": 0.0321867978089175,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3216": {
      "node_id": "node_3216",
      "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 220.38 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.97e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.3803466136547,
      "fos_buckling": 0.4058406349879493,
      "fos_yielding": 4.618272977175785,
      "deflection": 0.02967226096041996,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.319)"
      },
      "parent_node_id": "node_3215",
      "improvement_over_parent": null
    },
    "node_3217": {
      "node_id": "node_3217",
      "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 225.00 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.94e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.00325359617605,
      "fos_buckling": 0.40565516129706436,
      "fos_yielding": 4.618272977175792,
      "deflection": 0.029369763699032835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.272)"
      },
      "parent_node_id": "node_3216",
      "improvement_over_parent": null
    },
    "node_3218": {
      "node_id": "node_3218",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 243.85 kg\n  Factor of Safety: 0.81\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": 243.85130161148825,
      "fos_buckling": 0.8080044763730919,
      "fos_yielding": 4.52216000121671,
      "deflection": 0.015748521075261434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_3217",
      "improvement_over_parent": null
    },
    "node_3219": {
      "node_id": "node_3219",
      "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 249.91 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.91421953765922,
      "fos_buckling": 0.8024615066003415,
      "fos_yielding": 4.471656960549282,
      "deflection": 0.015748435236066012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.504)"
      },
      "parent_node_id": "node_3218",
      "improvement_over_parent": null
    },
    "node_3220": {
      "node_id": "node_3220",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46021169872137,
      "fos_buckling": 1.534430940801725,
      "fos_yielding": 7.744624988486753,
      "deflection": 0.011487478883533667,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_3219",
      "improvement_over_parent": null
    },
    "node_3221": {
      "node_id": "node_3221",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3220",
      "improvement_over_parent": null
    },
    "node_3222": {
      "node_id": "node_3222",
      "content": "INITIAL DESIGN (Trace 457)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n  Mass: 160.23 kg\n  Factor of Safety: 0.67\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": 160.22909725549994,
      "fos_buckling": 0.6696284953433199,
      "fos_yielding": 4.713037210163189,
      "deflection": 0.021273545434407553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3223": {
      "node_id": "node_3223",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 206.94 kg\n  Factor of Safety: 0.83\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": 206.94068072686346,
      "fos_buckling": 0.8313461647506277,
      "fos_yielding": 6.058391064556219,
      "deflection": 0.016559291706860973,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_3222",
      "improvement_over_parent": null
    },
    "node_3224": {
      "node_id": "node_3224",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 224.04 kg\n  Factor of Safety: 1.39\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": 224.03897853308922,
      "fos_buckling": 1.3932527870139195,
      "fos_yielding": 6.869827175970497,
      "deflection": 0.012903034815573377,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006259)"
      },
      "parent_node_id": "node_3223",
      "improvement_over_parent": null
    },
    "node_3225": {
      "node_id": "node_3225",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.38 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3816309715898,
      "fos_buckling": 1.5341447067858343,
      "fos_yielding": 7.741421738126403,
      "deflection": 0.011491009927209207,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_3224",
      "improvement_over_parent": null
    },
    "node_3226": {
      "node_id": "node_3226",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 458)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 154.06 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.91e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.05696208097584,
      "fos_buckling": 0.6001463997880272,
      "fos_yielding": 3.517205279919815,
      "deflection": 0.029070781237839814,
      "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: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n  Mass: 154.52 kg\n  Factor of Safety: 0.60\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": 154.52193884070005,
      "fos_buckling": 0.6000390177333084,
      "fos_yielding": 3.3685739297410913,
      "deflection": 0.01971851079217675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001366)"
      },
      "parent_node_id": "node_3227",
      "improvement_over_parent": null
    },
    "node_3229": {
      "node_id": "node_3229",
      "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0078)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n  Mass: 162.85 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.84857835573905,
      "fos_buckling": 0.5995587484910365,
      "fos_yielding": 3.388665859125236,
      "deflection": 0.01892795892588471,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.508)"
      },
      "parent_node_id": "node_3228",
      "improvement_over_parent": null
    },
    "node_3230": {
      "node_id": "node_3230",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0097)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 198.82 kg\n  Factor of Safety: 0.71\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": 198.82020373530506,
      "fos_buckling": 0.7099026739613304,
      "fos_yielding": 4.120091034138475,
      "deflection": 0.015566376975072264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_3229",
      "improvement_over_parent": null
    },
    "node_3231": {
      "node_id": "node_3231",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0097)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n  Mass: 213.17 kg\n  Factor of Safety: 1.09\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": 213.16922801725786,
      "fos_buckling": 1.0901207395414234,
      "fos_yielding": 6.696063241110536,
      "deflection": 0.013575905825291435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005220)"
      },
      "parent_node_id": "node_3230",
      "improvement_over_parent": null
    },
    "node_3232": {
      "node_id": "node_3232",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0123)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 263.82 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 263.8176557625471,
      "fos_buckling": 1.312188299616331,
      "fos_yielding": 8.290508245418328,
      "deflection": 0.011028710615836757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_3231",
      "improvement_over_parent": null
    },
    "node_3233": {
      "node_id": "node_3233",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3232",
      "improvement_over_parent": null
    },
    "node_3234": {
      "node_id": "node_3234",
      "content": "INITIAL DESIGN (Trace 459)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 173.34 kg\n  Factor of Safety: 0.75\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": 173.34090905118714,
      "fos_buckling": 0.7530827839151859,
      "fos_yielding": 4.431364695254601,
      "deflection": 0.01777765161529793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3235": {
      "node_id": "node_3235",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n  Mass: 186.77 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.7659294750641,
      "fos_buckling": 1.1422325412226937,
      "fos_yielding": 6.273112249967767,
      "deflection": 0.015791444577956407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005045)"
      },
      "parent_node_id": "node_3234",
      "improvement_over_parent": null
    },
    "node_3236": {
      "node_id": "node_3236",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n  Mass: 192.40 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.40233424526016,
      "fos_buckling": 1.143839315868235,
      "fos_yielding": 7.066201660724381,
      "deflection": 0.01491467036671458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.393)"
      },
      "parent_node_id": "node_3235",
      "improvement_over_parent": null
    },
    "node_3237": {
      "node_id": "node_3237",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 239.21 kg\n  Factor of Safety: 1.37\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": 239.20745292861653,
      "fos_buckling": 1.368970708503787,
      "fos_yielding": 8.76839346620574,
      "deflection": 0.012060259313492406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_3236",
      "improvement_over_parent": null
    },
    "node_3238": {
      "node_id": "node_3238",
      "content": "MODIFICATION: Increase 11 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 246.74 kg\n  Factor of Safety: 1.35\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": 246.73732849505188,
      "fos_buckling": 1.3517039308477448,
      "fos_yielding": 8.229921777671622,
      "deflection": 0.011770393792900312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.524)"
      },
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5582264072573,
      "fos_buckling": 1.5348873927685176,
      "fos_yielding": 7.748402320857442,
      "deflection": 0.011483358242168968,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.475)"
      },
      "parent_node_id": "node_3238",
      "improvement_over_parent": null
    },
    "node_3240": {
      "node_id": "node_3240",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 460)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 215.69 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.6913084924666,
      "fos_buckling": 1.2758048982876349,
      "fos_yielding": 5.752182366681057,
      "deflection": 0.013607765791311689,
      "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 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 216.10 kg\n  Factor of Safety: 1.27\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": 216.10285957254834,
      "fos_buckling": 1.2670634786925483,
      "fos_yielding": 6.935977032857994,
      "deflection": 0.013523129841782897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.247)"
      },
      "parent_node_id": "node_3241",
      "improvement_over_parent": null
    },
    "node_3243": {
      "node_id": "node_3243",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 248.80 kg\n  Factor of Safety: 1.43\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": 248.80237859066148,
      "fos_buckling": 1.42650971399091,
      "fos_yielding": 7.9849262942872326,
      "deflection": 0.01178728878221835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_3242",
      "improvement_over_parent": null
    },
    "node_3244": {
      "node_id": "node_3244",
      "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.60704713637998,
      "fos_buckling": 1.5353015316821308,
      "fos_yielding": 7.75381908291035,
      "deflection": 0.011481116919432736,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.196)"
      },
      "parent_node_id": "node_3243",
      "improvement_over_parent": null
    },
    "node_3245": {
      "node_id": "node_3245",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3244",
      "improvement_over_parent": null
    },
    "node_3246": {
      "node_id": "node_3246",
      "content": "INITIAL DESIGN (Trace 461)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n  Mass: 164.71 kg\n  Factor of Safety: 0.39\n  Max Deflection: 8.21e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.70767185741138,
      "fos_buckling": 0.3945169840072146,
      "fos_yielding": 0.9023048738522801,
      "deflection": 82137183782835.67,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3247": {
      "node_id": "node_3247",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n\nPerformance:\n  Mass: 183.84 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.07e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.8399048475608,
      "fos_buckling": 0.36924288971957314,
      "fos_yielding": 4.027776406619005,
      "deflection": 20733055302980.79,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_3246",
      "improvement_over_parent": null
    },
    "node_3248": {
      "node_id": "node_3248",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n\nPerformance:\n  Mass: 206.47 kg\n  Factor of Safety: 0.71\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.47015232914495,
      "fos_buckling": 0.7141477667549209,
      "fos_yielding": 5.278708190289062,
      "deflection": 0.02027555653256174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007264)"
      },
      "parent_node_id": "node_3247",
      "improvement_over_parent": null
    },
    "node_3249": {
      "node_id": "node_3249",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n  Mass: 207.10 kg\n  Factor of Safety: 0.41\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": 207.10481795695262,
      "fos_buckling": 0.412850222619247,
      "fos_yielding": 5.277443054125668,
      "deflection": 0.015259424207162963,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001907)"
      },
      "parent_node_id": "node_3248",
      "improvement_over_parent": null
    },
    "node_3250": {
      "node_id": "node_3250",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 223.87 kg\n  Factor of Safety: 1.28\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": 223.8743586495712,
      "fos_buckling": 1.2785096460945642,
      "fos_yielding": 6.74469808887504,
      "deflection": 0.012996772025441793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006018)"
      },
      "parent_node_id": "node_3249",
      "improvement_over_parent": null
    },
    "node_3251": {
      "node_id": "node_3251",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 248.56 kg\n  Factor of Safety: 1.40\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.5622092927072,
      "fos_buckling": 1.396533633609452,
      "fos_yielding": 7.491763415923948,
      "deflection": 0.011737792497614977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_3250",
      "improvement_over_parent": null
    },
    "node_3252": {
      "node_id": "node_3252",
      "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0076)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.36 kg\n  Factor of Safety: 1.40\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.35805699867475,
      "fos_buckling": 1.3950044351457134,
      "fos_yielding": 7.389677046985363,
      "deflection": 0.011695136059805909,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.188)"
      },
      "parent_node_id": "node_3251",
      "improvement_over_parent": null
    },
    "node_3253": {
      "node_id": "node_3253",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3252",
      "improvement_over_parent": null
    },
    "node_3254": {
      "node_id": "node_3254",
      "content": "INITIAL DESIGN (Trace 462)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 205.23 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.71e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.22826137141587,
      "fos_buckling": 0.20578060582625482,
      "fos_yielding": 1.0228295007998576,
      "deflection": 47117611431413.484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3255": {
      "node_id": "node_3255",
      "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 205.93 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.71e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.93309824373455,
      "fos_buckling": 0.2412458889497646,
      "fos_yielding": 1.5293086237083375,
      "deflection": 47117611431413.484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.543)"
      },
      "parent_node_id": "node_3254",
      "improvement_over_parent": null
    },
    "node_3256": {
      "node_id": "node_3256",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n\nPerformance:\n  Mass: 217.30 kg\n  Factor of Safety: 0.25\n  Max Deflection: 5.73e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.29728775808127,
      "fos_buckling": 0.2526155288474221,
      "fos_yielding": 0.8943570817194284,
      "deflection": 0.057258451639577115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004222)"
      },
      "parent_node_id": "node_3255",
      "improvement_over_parent": null
    },
    "node_3257": {
      "node_id": "node_3257",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 244.44 kg\n  Factor of Safety: 0.82\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": 244.43581132646372,
      "fos_buckling": 0.8181917481184628,
      "fos_yielding": 3.5423963294841694,
      "deflection": 0.015848916357177154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_3256",
      "improvement_over_parent": null
    },
    "node_3258": {
      "node_id": "node_3258",
      "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0100)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.31 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.30732900478475,
      "fos_buckling": 0.8155669785114179,
      "fos_yielding": 3.7976442748810153,
      "deflection": 0.015682081613897732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.513)"
      },
      "parent_node_id": "node_3257",
      "improvement_over_parent": null
    },
    "node_3259": {
      "node_id": "node_3259",
      "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0100)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.49231899161865,
      "fos_buckling": 0.8068840229593377,
      "fos_yielding": 4.838397202347688,
      "deflection": 0.015599326154341366,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.391)"
      },
      "parent_node_id": "node_3258",
      "improvement_over_parent": null
    },
    "node_3260": {
      "node_id": "node_3260",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0100)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 255.04 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.0383111526808,
      "fos_buckling": 1.438534484946937,
      "fos_yielding": 8.091582886959458,
      "deflection": 0.01148617602315058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_3259",
      "improvement_over_parent": null
    },
    "node_3261": {
      "node_id": "node_3261",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 463)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n  Mass: 204.19 kg\n  Factor of Safety: 0.40\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": 204.1889096553087,
      "fos_buckling": 0.4005665403031516,
      "fos_yielding": 5.135907223859754,
      "deflection": 0.015510739694281036,
      "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 6 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n  Mass: 204.86 kg\n  Factor of Safety: 0.40\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": 204.85664978133752,
      "fos_buckling": 0.40163099753556847,
      "fos_yielding": 5.13590722385975,
      "deflection": 0.015394438295107497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.603)"
      },
      "parent_node_id": "node_3262",
      "improvement_over_parent": null
    },
    "node_3264": {
      "node_id": "node_3264",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 221.16 kg\n  Factor of Safety: 1.38\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": 221.1636875309292,
      "fos_buckling": 1.378529211176533,
      "fos_yielding": 6.7814569319890685,
      "deflection": 0.013066438111118753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005838)"
      },
      "parent_node_id": "node_3263",
      "improvement_over_parent": null
    },
    "node_3265": {
      "node_id": "node_3265",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.56539646555524,
      "fos_buckling": 1.5350370583763704,
      "fos_yielding": 7.74709628380178,
      "deflection": 0.011482834066217418,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_3264",
      "improvement_over_parent": null
    },
    "node_3266": {
      "node_id": "node_3266",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3265",
      "improvement_over_parent": null
    },
    "node_3267": {
      "node_id": "node_3267",
      "content": "INITIAL DESIGN (Trace 464)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n  Mass: 159.27 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.26744839980836,
      "fos_buckling": 0.5878679030600529,
      "fos_yielding": 4.247875034562665,
      "deflection": 0.024042699879865327,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3268": {
      "node_id": "node_3268",
      "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n  Mass: 163.39 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.39471895898527,
      "fos_buckling": 0.5879906334418361,
      "fos_yielding": 4.244529907599733,
      "deflection": 0.02404957922444806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.634)"
      },
      "parent_node_id": "node_3267",
      "improvement_over_parent": null
    },
    "node_3269": {
      "node_id": "node_3269",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 190.84 kg\n  Factor of Safety: 0.67\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": 190.84077813101027,
      "fos_buckling": 0.6722623612792316,
      "fos_yielding": 4.926001670788367,
      "deflection": 0.020647255828923777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_3268",
      "improvement_over_parent": null
    },
    "node_3270": {
      "node_id": "node_3270",
      "content": "MODIFICATION: Increase 11 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n  Mass: 193.72 kg\n  Factor of Safety: 0.67\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.7179906056042,
      "fos_buckling": 0.6684415624714761,
      "fos_yielding": 4.921973784902584,
      "deflection": 0.020639678381172553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.280)"
      },
      "parent_node_id": "node_3269",
      "improvement_over_parent": null
    },
    "node_3271": {
      "node_id": "node_3271",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 231.46 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.46155946103178,
      "fos_buckling": 0.7756127382412599,
      "fos_yielding": 5.831066589072764,
      "deflection": 0.017335739763976312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_3270",
      "improvement_over_parent": null
    },
    "node_3272": {
      "node_id": "node_3272",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 250.08 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.0770855173991,
      "fos_buckling": 0.8028417343917754,
      "fos_yielding": 4.4744252126646336,
      "deflection": 0.015738846548499708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_3271",
      "improvement_over_parent": null
    },
    "node_3273": {
      "node_id": "node_3273",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.62307767846124,
      "fos_buckling": 1.5352720517043033,
      "fos_yielding": 7.7444777732233225,
      "deflection": 0.01148037512031195,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_3272",
      "improvement_over_parent": null
    },
    "node_3274": {
      "node_id": "node_3274",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3273",
      "improvement_over_parent": null
    },
    "node_3275": {
      "node_id": "node_3275",
      "content": "INITIAL DESIGN (Trace 465)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 129.07 kg\n  Factor of Safety: 0.34\n  Max Deflection: 4.96e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.0672065110156,
      "fos_buckling": 0.3386877801466644,
      "fos_yielding": 0.9366216516582452,
      "deflection": 0.049564858163621175,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3276": {
      "node_id": "node_3276",
      "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 135.76 kg\n  Factor of Safety: 0.34\n  Max Deflection: 4.39e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.75880608252984,
      "fos_buckling": 0.33835556737247513,
      "fos_yielding": 0.9347960286376308,
      "deflection": 0.04392276980454944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.585)"
      },
      "parent_node_id": "node_3275",
      "improvement_over_parent": null
    },
    "node_3277": {
      "node_id": "node_3277",
      "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n  Mass: 137.45 kg\n  Factor of Safety: 0.34\n  Max Deflection: 4.39e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.45390350045147,
      "fos_buckling": 0.3383275454697455,
      "fos_yielding": 0.934719108243893,
      "deflection": 0.04393068760809327,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.202)"
      },
      "parent_node_id": "node_3276",
      "improvement_over_parent": null
    },
    "node_3278": {
      "node_id": "node_3278",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n  Mass: 169.14 kg\n  Factor of Safety: 0.40\n  Max Deflection: 3.59e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.1429517886335,
      "fos_buckling": 0.40313693619724056,
      "fos_yielding": 1.1448956230460594,
      "deflection": 0.035865185253592904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_3277",
      "improvement_over_parent": null
    },
    "node_3279": {
      "node_id": "node_3279",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 190.08 kg\n  Factor of Safety: 0.44\n  Max Deflection: 3.20e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.08045140953521,
      "fos_buckling": 0.44329765841706265,
      "fos_yielding": 1.2827000646215005,
      "deflection": 0.03201158371156352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_3278",
      "improvement_over_parent": null
    },
    "node_3280": {
      "node_id": "node_3280",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 209.35 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.98e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.34669223044253,
      "fos_buckling": 0.44246904701142076,
      "fos_yielding": 1.2803235462842344,
      "deflection": 0.029838285017295976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_3279",
      "improvement_over_parent": null
    },
    "node_3281": {
      "node_id": "node_3281",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 227.14 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.41e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.13816791884696,
      "fos_buckling": 0.4420874994379611,
      "fos_yielding": 1.878344723107432,
      "deflection": 0.024052149456468785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)"
      },
      "parent_node_id": "node_3280",
      "improvement_over_parent": null
    },
    "node_3282": {
      "node_id": "node_3282",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.26 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.2603095706938,
      "fos_buckling": 1.5335003551657715,
      "fos_yielding": 7.732999505550694,
      "deflection": 0.0114967381943986,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_3281",
      "improvement_over_parent": null
    },
    "node_3283": {
      "node_id": "node_3283",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3282",
      "improvement_over_parent": null
    },
    "node_3284": {
      "node_id": "node_3284",
      "content": "INITIAL DESIGN (Trace 466)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 152.28 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.93e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.27511331112285,
      "fos_buckling": 0.6004799968603283,
      "fos_yielding": 3.6812155694760147,
      "deflection": 0.029305394028094373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3285": {
      "node_id": "node_3285",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n  Mass: 162.00 kg\n  Factor of Safety: 0.91\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": 161.99855426118953,
      "fos_buckling": 0.9125862880507669,
      "fos_yielding": 5.238926828694935,
      "deflection": 0.017772881899703035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003986)"
      },
      "parent_node_id": "node_3284",
      "improvement_over_parent": null
    },
    "node_3286": {
      "node_id": "node_3286",
      "content": "MODIFICATION: Increase 3 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n  Mass: 164.34 kg\n  Factor of Safety: 1.05\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": 164.34013004339633,
      "fos_buckling": 1.0548624415595274,
      "fos_yielding": 5.023866422140635,
      "deflection": 0.017464824613613854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.290)"
      },
      "parent_node_id": "node_3285",
      "improvement_over_parent": null
    },
    "node_3287": {
      "node_id": "node_3287",
      "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n  Mass: 166.24 kg\n  Factor of Safety: 1.06\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": 166.23869576626396,
      "fos_buckling": 1.0649550229815206,
      "fos_yielding": 4.902501118489922,
      "deflection": 0.017280243420576102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.186)"
      },
      "parent_node_id": "node_3286",
      "improvement_over_parent": null
    },
    "node_3288": {
      "node_id": "node_3288",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n\nPerformance:\n  Mass: 208.98 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.9776583881667,
      "fos_buckling": 1.2905677013959425,
      "fos_yielding": 6.164739697038602,
      "deflection": 0.013813497859236171,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_3287",
      "improvement_over_parent": null
    },
    "node_3289": {
      "node_id": "node_3289",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 251.61 kg\n  Factor of Safety: 1.50\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": 251.60594324472044,
      "fos_buckling": 1.4968089108130116,
      "fos_yielding": 7.424456171635099,
      "deflection": 0.011528914327813139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_3288",
      "improvement_over_parent": null
    },
    "node_3290": {
      "node_id": "node_3290",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.31 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.31026409164147,
      "fos_buckling": 1.5336322246636713,
      "fos_yielding": 7.741303070572865,
      "deflection": 0.011494028896536808,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_3289",
      "improvement_over_parent": null
    },
    "node_3291": {
      "node_id": "node_3291",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3290",
      "improvement_over_parent": null
    },
    "node_3292": {
      "node_id": "node_3292",
      "content": "INITIAL DESIGN (Trace 467)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 164.66 kg\n  Factor of Safety: 0.70\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": 164.65584547375323,
      "fos_buckling": 0.704383089698532,
      "fos_yielding": 4.99260518199218,
      "deflection": 0.02019122370063203,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3293": {
      "node_id": "node_3293",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 186.38 kg\n  Factor of Safety: 0.78\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": 186.37985077761005,
      "fos_buckling": 0.7823663427795802,
      "fos_yielding": 5.638360508284341,
      "deflection": 0.017882764173739303,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_3292",
      "improvement_over_parent": null
    },
    "node_3294": {
      "node_id": "node_3294",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n\nPerformance:\n  Mass: 205.57 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.5687883763389,
      "fos_buckling": 1.2843593275782612,
      "fos_yielding": 6.5084352354487836,
      "deflection": 0.013944602180550561,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006112)"
      },
      "parent_node_id": "node_3293",
      "improvement_over_parent": null
    },
    "node_3295": {
      "node_id": "node_3295",
      "content": "MODIFICATION: Increase 12 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n\nPerformance:\n  Mass: 208.93 kg\n  Factor of Safety: 1.31\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": 208.93395778673857,
      "fos_buckling": 1.3128588034117792,
      "fos_yielding": 6.64902970329303,
      "deflection": 0.013827557435215836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.238)"
      },
      "parent_node_id": "node_3294",
      "improvement_over_parent": null
    },
    "node_3296": {
      "node_id": "node_3296",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0084)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 253.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.58861112285163,
      "fos_buckling": 1.5378975775902577,
      "fos_yielding": 8.06828244924876,
      "deflection": 0.011449748522539886,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_3295",
      "improvement_over_parent": null
    },
    "node_3297": {
      "node_id": "node_3297",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3296",
      "improvement_over_parent": null
    },
    "node_3298": {
      "node_id": "node_3298",
      "content": "INITIAL DESIGN (Trace 468)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 166.10 kg\n  Factor of Safety: 1.09\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": 166.10084023611194,
      "fos_buckling": 1.0852501735510178,
      "fos_yielding": 5.206786384393377,
      "deflection": 0.017209485822018884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3299": {
      "node_id": "node_3299",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 214.09 kg\n  Factor of Safety: 1.34\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": 214.08949755917018,
      "fos_buckling": 1.3426465587516823,
      "fos_yielding": 6.712939797985981,
      "deflection": 0.013426707400035657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_3298",
      "improvement_over_parent": null
    },
    "node_3300": {
      "node_id": "node_3300",
      "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 217.97 kg\n  Factor of Safety: 1.36\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": 217.9702069623803,
      "fos_buckling": 1.3620296721481684,
      "fos_yielding": 6.683297594126845,
      "deflection": 0.01325322085428971,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.445)"
      },
      "parent_node_id": "node_3299",
      "improvement_over_parent": null
    },
    "node_3301": {
      "node_id": "node_3301",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4946318931204,
      "fos_buckling": 1.5346421623695783,
      "fos_yielding": 7.74492589219786,
      "deflection": 0.011486107183525175,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_3300",
      "improvement_over_parent": null
    },
    "node_3302": {
      "node_id": "node_3302",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3301",
      "improvement_over_parent": null
    },
    "node_3303": {
      "node_id": "node_3303",
      "content": "INITIAL DESIGN (Trace 469)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n  Mass: 178.91 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.90630109992802,
      "fos_buckling": 0.7630762746864838,
      "fos_yielding": 4.251770036865846,
      "deflection": 0.01993350877936125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3304": {
      "node_id": "node_3304",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 223.12 kg\n  Factor of Safety: 0.92\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": 223.12390988846647,
      "fos_buckling": 0.9168812218291377,
      "fos_yielding": 5.3359200846703185,
      "deflection": 0.016049638082340428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_3303",
      "improvement_over_parent": null
    },
    "node_3305": {
      "node_id": "node_3305",
      "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 226.69 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.68652416449032,
      "fos_buckling": 0.9167230486414263,
      "fos_yielding": 5.719333701952996,
      "deflection": 0.015928971936396988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.350)"
      },
      "parent_node_id": "node_3304",
      "improvement_over_parent": null
    },
    "node_3306": {
      "node_id": "node_3306",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 249.97 kg\n  Factor of Safety: 0.80\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": 249.97236376658756,
      "fos_buckling": 0.8025410271807547,
      "fos_yielding": 4.472821615717172,
      "deflection": 0.01574559074678171,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_3305",
      "improvement_over_parent": null
    },
    "node_3307": {
      "node_id": "node_3307",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.5183559276497,
      "fos_buckling": 1.534718056684499,
      "fos_yielding": 7.744252865859618,
      "deflection": 0.011485135817239993,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_3306",
      "improvement_over_parent": null
    },
    "node_3308": {
      "node_id": "node_3308",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3307",
      "improvement_over_parent": null
    },
    "node_3309": {
      "node_id": "node_3309",
      "content": "INITIAL DESIGN (Trace 470)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 145.24 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.99e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.23729449390765,
      "fos_buckling": 0.36840642498633,
      "fos_yielding": 1.7658587415140259,
      "deflection": 0.02986803302836316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3310": {
      "node_id": "node_3310",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n\nPerformance:\n  Mass: 155.65 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.75e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.65054809749967,
      "fos_buckling": 0.36822019886286866,
      "fos_yielding": 1.7649661158546752,
      "deflection": 0.027453021007393053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004287)"
      },
      "parent_node_id": "node_3309",
      "improvement_over_parent": null
    },
    "node_3311": {
      "node_id": "node_3311",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n  Mass: 172.65 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.48e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.6508024905498,
      "fos_buckling": 0.4052234192859694,
      "fos_yielding": 1.9586024606550512,
      "deflection": 0.02479021421636941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_3310",
      "improvement_over_parent": null
    },
    "node_3312": {
      "node_id": "node_3312",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n  Mass: 176.16 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.1570955324267,
      "fos_buckling": 0.4050170642308348,
      "fos_yielding": 1.9576050663794011,
      "deflection": 0.02435670665007818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.232)"
      },
      "parent_node_id": "node_3311",
      "improvement_over_parent": null
    },
    "node_3313": {
      "node_id": "node_3313",
      "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0050)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n  Mass: 177.23 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.38e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.22937144240385,
      "fos_buckling": 0.4049329826624874,
      "fos_yielding": 1.957198667442856,
      "deflection": 0.023765520918455723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.603)"
      },
      "parent_node_id": "node_3312",
      "improvement_over_parent": null
    },
    "node_3314": {
      "node_id": "node_3314",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0065)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 225.63 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.626622040759,
      "fos_buckling": 0.5044217304391074,
      "fos_yielding": 2.496927381140485,
      "deflection": 0.0187639853702073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_3313",
      "improvement_over_parent": null
    },
    "node_3315": {
      "node_id": "node_3315",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0065)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.77 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.76514560914146,
      "fos_buckling": 1.2432645062734076,
      "fos_yielding": 6.154257440518665,
      "deflection": 0.011482481878013342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_3314",
      "improvement_over_parent": null
    },
    "node_3316": {
      "node_id": "node_3316",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3315",
      "improvement_over_parent": null
    },
    "node_3317": {
      "node_id": "node_3317",
      "content": "INITIAL DESIGN (Trace 471)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 224.85 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.8494345181427,
      "fos_buckling": 0.6781902077223765,
      "fos_yielding": 4.375347183476602,
      "deflection": 0.013561909174557213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3318": {
      "node_id": "node_3318",
      "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 230.22 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.2162157474937,
      "fos_buckling": 0.9020411471590768,
      "fos_yielding": 4.368449000725503,
      "deflection": 0.0129552343362842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.437)"
      },
      "parent_node_id": "node_3317",
      "improvement_over_parent": null
    },
    "node_3319": {
      "node_id": "node_3319",
      "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 230.38 kg\n  Factor of Safety: 0.90\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": 230.37755950488022,
      "fos_buckling": 0.9020699196357383,
      "fos_yielding": 5.478453388899266,
      "deflection": 0.012900337354233607,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.326)"
      },
      "parent_node_id": "node_3318",
      "improvement_over_parent": null
    },
    "node_3320": {
      "node_id": "node_3320",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 247.05 kg\n  Factor of Safety: 1.34\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": 247.04784331113729,
      "fos_buckling": 1.3427744131320574,
      "fos_yielding": 7.383065455412625,
      "deflection": 0.011850997757278037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_3319",
      "improvement_over_parent": null
    },
    "node_3321": {
      "node_id": "node_3321",
      "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46868091210257,
      "fos_buckling": 1.5346495211049023,
      "fos_yielding": 7.744203863314365,
      "deflection": 0.011486983501338838,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.274)"
      },
      "parent_node_id": "node_3320",
      "improvement_over_parent": null
    },
    "node_3322": {
      "node_id": "node_3322",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3321",
      "improvement_over_parent": null
    },
    "node_3323": {
      "node_id": "node_3323",
      "content": "INITIAL DESIGN (Trace 472)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0020)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n  Mass: 105.72 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.68e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 105.71553371811035,
      "fos_buckling": 0.605527094886611,
      "fos_yielding": 3.17965541802112,
      "deflection": 0.02682710988439394,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3324": {
      "node_id": "node_3324",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0025)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n  Mass: 132.71 kg\n  Factor of Safety: 0.75\n  Max Deflection: 2.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.71057354840354,
      "fos_buckling": 0.7514533696347577,
      "fos_yielding": 3.993770698706614,
      "deflection": 0.02143549164390739,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_3323",
      "improvement_over_parent": null
    },
    "node_3325": {
      "node_id": "node_3325",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 152.74 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.7350729874323,
      "fos_buckling": 0.8573871596375701,
      "fos_yielding": 4.598258179942446,
      "deflection": 0.018667324365004602,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_3324",
      "improvement_over_parent": null
    },
    "node_3326": {
      "node_id": "node_3326",
      "content": "MODIFICATION: Increase 13 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n  Mass: 155.90 kg\n  Factor of Safety: 1.02\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": 155.89509500268954,
      "fos_buckling": 1.0224886950665752,
      "fos_yielding": 4.776715819563423,
      "deflection": 0.01839905861864091,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.393)"
      },
      "parent_node_id": "node_3325",
      "improvement_over_parent": null
    },
    "node_3327": {
      "node_id": "node_3327",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n  Mass: 204.05 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.0519785387676,
      "fos_buckling": 1.2892049408572162,
      "fos_yielding": 6.255709332741978,
      "deflection": 0.014134573470997355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_3326",
      "improvement_over_parent": null
    },
    "node_3328": {
      "node_id": "node_3328",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.55554711391486,
      "fos_buckling": 1.5349713700677505,
      "fos_yielding": 7.746995679090921,
      "deflection": 0.011483282122806457,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_3327",
      "improvement_over_parent": null
    },
    "node_3329": {
      "node_id": "node_3329",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3328",
      "improvement_over_parent": null
    },
    "node_3330": {
      "node_id": "node_3330",
      "content": "INITIAL DESIGN (Trace 473)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 153.30 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.29556483652985,
      "fos_buckling": 0.5947830110609684,
      "fos_yielding": 3.334370873679776,
      "deflection": 0.01991750582415083,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3331": {
      "node_id": "node_3331",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 183.04 kg\n  Factor of Safety: 0.69\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": 183.03944194763477,
      "fos_buckling": 0.6910534339468931,
      "fos_yielding": 3.9640021436788544,
      "deflection": 0.01674320639235189,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_3330",
      "improvement_over_parent": null
    },
    "node_3332": {
      "node_id": "node_3332",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n\nPerformance:\n  Mass: 194.22 kg\n  Factor of Safety: 1.25\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": 194.22427589150374,
      "fos_buckling": 1.2505531825757685,
      "fos_yielding": 6.020058607735591,
      "deflection": 0.014743315042552746,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004003)"
      },
      "parent_node_id": "node_3331",
      "improvement_over_parent": null
    },
    "node_3333": {
      "node_id": "node_3333",
      "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0065)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n\nPerformance:\n  Mass: 197.65 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.6498943742131,
      "fos_buckling": 1.250741877784919,
      "fos_yielding": 6.0052185012484225,
      "deflection": 0.014621141514624484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.258)"
      },
      "parent_node_id": "node_3332",
      "improvement_over_parent": null
    },
    "node_3334": {
      "node_id": "node_3334",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0085)]\n  M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n  Mass: 253.22 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.21937606072635,
      "fos_buckling": 1.5335216921497576,
      "fos_yielding": 7.7013874763478025,
      "deflection": 0.011482364366583486,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_3333",
      "improvement_over_parent": null
    },
    "node_3335": {
      "node_id": "node_3335",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3334",
      "improvement_over_parent": null
    },
    "node_3336": {
      "node_id": "node_3336",
      "content": "INITIAL DESIGN (Trace 474)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 145.22 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.22362557963464,
      "fos_buckling": 0.6335422938803311,
      "fos_yielding": 3.4247076065422584,
      "deflection": 0.023985004826999796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3337": {
      "node_id": "node_3337",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 181.67 kg\n  Factor of Safety: 0.76\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": 181.6652012220314,
      "fos_buckling": 0.7629227066185185,
      "fos_yielding": 4.266639716470658,
      "deflection": 0.019259476718251494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_3336",
      "improvement_over_parent": null
    },
    "node_3338": {
      "node_id": "node_3338",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n  Mass: 197.25 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.2470427822476,
      "fos_buckling": 0.8235419312797964,
      "fos_yielding": 5.989978702078868,
      "deflection": 0.017018978375195646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005706)"
      },
      "parent_node_id": "node_3337",
      "improvement_over_parent": null
    },
    "node_3339": {
      "node_id": "node_3339",
      "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n  Mass: 200.27 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.26813422387892,
      "fos_buckling": 0.8234211391318674,
      "fos_yielding": 5.98910012824312,
      "deflection": 0.016898496378673945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.312)"
      },
      "parent_node_id": "node_3338",
      "improvement_over_parent": null
    },
    "node_3340": {
      "node_id": "node_3340",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 217.14 kg\n  Factor of Safety: 1.31\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": 217.14221664979783,
      "fos_buckling": 1.313170356656747,
      "fos_yielding": 7.024335553340834,
      "deflection": 0.013181101210651459,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006170)"
      },
      "parent_node_id": "node_3339",
      "improvement_over_parent": null
    },
    "node_3341": {
      "node_id": "node_3341",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 248.02 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.01757216319362,
      "fos_buckling": 1.4675772844078332,
      "fos_yielding": 8.020596833195835,
      "deflection": 0.011580994928002856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_3340",
      "improvement_over_parent": null
    },
    "node_3342": {
      "node_id": "node_3342",
      "content": "MODIFICATION: Increase 12 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0097)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 255.00 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.99523248309805,
      "fos_buckling": 1.5400036846050063,
      "fos_yielding": 8.28993427358564,
      "deflection": 0.011425635048292514,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.425)"
      },
      "parent_node_id": "node_3341",
      "improvement_over_parent": null
    },
    "node_3343": {
      "node_id": "node_3343",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3342",
      "improvement_over_parent": null
    },
    "node_3344": {
      "node_id": "node_3344",
      "content": "INITIAL DESIGN (Trace 475)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 108.70 kg\n  Factor of Safety: 0.49\n  Max Deflection: 3.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 108.69773746221695,
      "fos_buckling": 0.4898173480922237,
      "fos_yielding": 3.331481159101999,
      "deflection": 0.030304192043925884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3345": {
      "node_id": "node_3345",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n\nPerformance:\n  Mass: 119.95 kg\n  Factor of Safety: 0.79\n  Max Deflection: 2.36e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.94534394987322,
      "fos_buckling": 0.7921262585771882,
      "fos_yielding": 3.8262846577335172,
      "deflection": 0.02362005122959924,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003474)"
      },
      "parent_node_id": "node_3344",
      "improvement_over_parent": null
    },
    "node_3346": {
      "node_id": "node_3346",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n\nPerformance:\n  Mass: 146.42 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.4231093866689,
      "fos_buckling": 0.9500860265289891,
      "fos_yielding": 4.6705337472131365,
      "deflection": 0.019408035086607114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_3345",
      "improvement_over_parent": null
    },
    "node_3347": {
      "node_id": "node_3347",
      "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n\nPerformance:\n  Mass: 149.83 kg\n  Factor of Safety: 0.98\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": 149.828134023683,
      "fos_buckling": 0.9839942381194637,
      "fos_yielding": 4.79919172342304,
      "deflection": 0.019183346942653764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.328)"
      },
      "parent_node_id": "node_3346",
      "improvement_over_parent": null
    },
    "node_3348": {
      "node_id": "node_3348",
      "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n\nPerformance:\n  Mass: 149.94 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.94470103980484,
      "fos_buckling": 0.984256442851835,
      "fos_yielding": 4.827013012383252,
      "deflection": 0.019170280952193558,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.410)"
      },
      "parent_node_id": "node_3347",
      "improvement_over_parent": null
    },
    "node_3349": {
      "node_id": "node_3349",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0067)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n\nPerformance:\n  Mass: 194.44 kg\n  Factor of Safety: 1.23\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": 194.44262235620644,
      "fos_buckling": 1.2337385918147055,
      "fos_yielding": 6.2574784278021,
      "deflection": 0.014856468664988352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_3348",
      "improvement_over_parent": null
    },
    "node_3350": {
      "node_id": "node_3350",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0079)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n\nPerformance:\n  Mass: 224.87 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.87266174834642,
      "fos_buckling": 1.3933505810385514,
      "fos_yielding": 7.235000876353053,
      "deflection": 0.012889273068695811,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_3349",
      "improvement_over_parent": null
    },
    "node_3351": {
      "node_id": "node_3351",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0090)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n\nPerformance:\n  Mass: 254.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.27794137311352,
      "fos_buckling": 1.5391808159017142,
      "fos_yielding": 8.17897843279477,
      "deflection": 0.011435547408216251,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_3350",
      "improvement_over_parent": null
    },
    "node_3352": {
      "node_id": "node_3352",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3351",
      "improvement_over_parent": null
    },
    "node_3353": {
      "node_id": "node_3353",
      "content": "INITIAL DESIGN (Trace 476)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n  Mass: 219.38 kg\n  Factor of Safety: 0.92\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": 219.37834937717165,
      "fos_buckling": 0.9167483341076248,
      "fos_yielding": 6.816447223920146,
      "deflection": 0.016202227277988163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3354": {
      "node_id": "node_3354",
      "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 225.49 kg\n  Factor of Safety: 0.92\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": 225.49234855714116,
      "fos_buckling": 0.9164769603134082,
      "fos_yielding": 6.428619770968594,
      "deflection": 0.016068394025167597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.536)"
      },
      "parent_node_id": "node_3353",
      "improvement_over_parent": null
    },
    "node_3355": {
      "node_id": "node_3355",
      "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 230.67 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.66917400217693,
      "fos_buckling": 0.916247309157942,
      "fos_yielding": 5.791545108297008,
      "deflection": 0.01591887098295903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.555)"
      },
      "parent_node_id": "node_3354",
      "improvement_over_parent": null
    },
    "node_3356": {
      "node_id": "node_3356",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 233.22 kg\n  Factor of Safety: 0.92\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": 233.21516616323908,
      "fos_buckling": 0.9157958699284936,
      "fos_yielding": 6.809365212894686,
      "deflection": 0.014737748811228487,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_3355",
      "improvement_over_parent": null
    },
    "node_3357": {
      "node_id": "node_3357",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4814069841464,
      "fos_buckling": 1.5345675130658132,
      "fos_yielding": 7.743880902779212,
      "deflection": 0.01148676219772134,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_3356",
      "improvement_over_parent": null
    },
    "node_3358": {
      "node_id": "node_3358",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 477)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, 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_3360": {
      "node_id": "node_3360",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n\nPerformance:\n  Mass: 127.88 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.33e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.88224903637214,
      "fos_buckling": 1.150512094598952,
      "fos_yielding": 6.779662035007957,
      "deflection": 13290719620569.734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004202)"
      },
      "parent_node_id": "node_3359",
      "improvement_over_parent": null
    },
    "node_3361": {
      "node_id": "node_3361",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n  Mass: 140.23 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.13e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.2290181864511,
      "fos_buckling": 0.8122894604863694,
      "fos_yielding": 3.3898310175039783,
      "deflection": 11264863971172.697,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004445)"
      },
      "parent_node_id": "node_3360",
      "improvement_over_parent": null
    },
    "node_3362": {
      "node_id": "node_3362",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n\nPerformance:\n  Mass: 159.06 kg\n  Factor of Safety: 0.68\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": 159.06333166886108,
      "fos_buckling": 0.67563247425419,
      "fos_yielding": 4.76140515638768,
      "deflection": 0.021059241451320557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005490)"
      },
      "parent_node_id": "node_3361",
      "improvement_over_parent": null
    },
    "node_3363": {
      "node_id": "node_3363",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n\nPerformance:\n  Mass: 177.03 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.0259387890285,
      "fos_buckling": 0.7405122197870188,
      "fos_yielding": 5.289475445582225,
      "deflection": 0.01896130645859447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_3362",
      "improvement_over_parent": null
    },
    "node_3364": {
      "node_id": "node_3364",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 229.12 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.12177313030588,
      "fos_buckling": 0.9158758604933886,
      "fos_yielding": 6.810214441326399,
      "deflection": 0.01473725319123525,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_3363",
      "improvement_over_parent": null
    },
    "node_3365": {
      "node_id": "node_3365",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.41 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.40761273240312,
      "fos_buckling": 1.53421532181602,
      "fos_yielding": 7.741852649940858,
      "deflection": 0.011489884184515999,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_3364",
      "improvement_over_parent": null
    },
    "node_3366": {
      "node_id": "node_3366",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 478)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n\nPerformance:\n  Mass: 112.99 kg\n  Factor of Safety: 0.05\n  Max Deflection: 2.40e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.98642162654205,
      "fos_buckling": 0.052906622062934075,
      "fos_yielding": 0.21186443859399864,
      "deflection": 239545718916611.03,
      "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 7 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n\nPerformance:\n  Mass: 113.30 kg\n  Factor of Safety: 0.20\n  Max Deflection: 5.03e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.30123197924448,
      "fos_buckling": 0.19863975536903558,
      "fos_yielding": 0.8474577543759946,
      "deflection": 50315966792037.57,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.290)"
      },
      "parent_node_id": "node_3367",
      "improvement_over_parent": null
    },
    "node_3369": {
      "node_id": "node_3369",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n\nPerformance:\n  Mass: 124.07 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.47e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.06863620296376,
      "fos_buckling": 0.4872502567987365,
      "fos_yielding": 3.4133464623119907,
      "deflection": 0.0246824787637304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003725)"
      },
      "parent_node_id": "node_3368",
      "improvement_over_parent": null
    },
    "node_3370": {
      "node_id": "node_3370",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n\nPerformance:\n  Mass: 158.86 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.85601322398293,
      "fos_buckling": 0.603341322181148,
      "fos_yielding": 4.336381609578655,
      "deflection": 0.01935705219567507,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_3369",
      "improvement_over_parent": null
    },
    "node_3371": {
      "node_id": "node_3371",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n\nPerformance:\n  Mass: 180.66 kg\n  Factor of Safety: 0.67\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.6622196504224,
      "fos_buckling": 0.6716763588593654,
      "fos_yielding": 4.907686279015841,
      "deflection": 0.017064561927136384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_3370",
      "improvement_over_parent": null
    },
    "node_3372": {
      "node_id": "node_3372",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 196.14 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.50e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.14107988166992,
      "fos_buckling": 0.7734246393729417,
      "fos_yielding": 4.563430657696163,
      "deflection": 0.015025542086760279,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005518)"
      },
      "parent_node_id": "node_3371",
      "improvement_over_parent": null
    },
    "node_3373": {
      "node_id": "node_3373",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 235.79 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.79050481300885,
      "fos_buckling": 0.9019649957815843,
      "fos_yielding": 5.474658055654204,
      "deflection": 0.012549940170906375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_3372",
      "improvement_over_parent": null
    },
    "node_3374": {
      "node_id": "node_3374",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.46078861926594,
      "fos_buckling": 1.534518188093106,
      "fos_yielding": 7.743725065085664,
      "deflection": 0.011487456157631231,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_3373",
      "improvement_over_parent": null
    },
    "node_3375": {
      "node_id": "node_3375",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3374",
      "improvement_over_parent": null
    },
    "node_3376": {
      "node_id": "node_3376",
      "content": "INITIAL DESIGN (Trace 479)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 198.26 kg\n  Factor of Safety: 0.81\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": 198.2563837954856,
      "fos_buckling": 0.8100885792334719,
      "fos_yielding": 4.947019853244373,
      "deflection": 0.01846980201576541,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3377": {
      "node_id": "node_3377",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 214.81 kg\n  Factor of Safety: 0.71\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": 214.81463560045043,
      "fos_buckling": 0.7071275362722248,
      "fos_yielding": 3.844396122200464,
      "deflection": 0.01827139202486598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006045)"
      },
      "parent_node_id": "node_3376",
      "improvement_over_parent": null
    },
    "node_3378": {
      "node_id": "node_3378",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 249.82 kg\n  Factor of Safety: 0.80\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": 249.82017458713096,
      "fos_buckling": 0.802156739311201,
      "fos_yielding": 4.469797860833563,
      "deflection": 0.01575486450212876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_3377",
      "improvement_over_parent": null
    },
    "node_3379": {
      "node_id": "node_3379",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.37 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3661667481931,
      "fos_buckling": 1.5340619034653762,
      "fos_yielding": 7.743731435212168,
      "deflection": 0.011491587062487513,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_3378",
      "improvement_over_parent": null
    },
    "node_3380": {
      "node_id": "node_3380",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3379",
      "improvement_over_parent": null
    },
    "node_3381": {
      "node_id": "node_3381",
      "content": "INITIAL DESIGN (Trace 480)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0018)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n  Mass: 105.88 kg\n  Factor of Safety: 0.21\n  Max Deflection: 1.09e-01 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 105.8769764125377,
      "fos_buckling": 0.20910436504132493,
      "fos_yielding": 1.447374558062981,
      "deflection": 0.1090851065331954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3382": {
      "node_id": "node_3382",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0018)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n\nPerformance:\n  Mass: 106.21 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.96e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 106.21453629898025,
      "fos_buckling": 0.234707780679482,
      "fos_yielding": 0.9423593187683366,
      "deflection": 0.04957023947332702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.000976)"
      },
      "parent_node_id": "node_3381",
      "improvement_over_parent": null
    },
    "node_3383": {
      "node_id": "node_3383",
      "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n\nPerformance:\n  Mass: 108.99 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.94e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 108.98760593708342,
      "fos_buckling": 0.2346758753711494,
      "fos_yielding": 0.9157619497263967,
      "deflection": 0.04937511551314521,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.626)"
      },
      "parent_node_id": "node_3382",
      "improvement_over_parent": null
    },
    "node_3384": {
      "node_id": "node_3384",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n\nPerformance:\n  Mass: 121.03 kg\n  Factor of Safety: 0.82\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": 121.03098429339909,
      "fos_buckling": 0.8151065300782201,
      "fos_yielding": 3.707070601149494,
      "deflection": 0.023603941846080768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.003720)"
      },
      "parent_node_id": "node_3383",
      "improvement_over_parent": null
    },
    "node_3385": {
      "node_id": "node_3385",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n\nPerformance:\n  Mass: 152.52 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.52145867788974,
      "fos_buckling": 1.0029637347098919,
      "fos_yielding": 4.673273705703166,
      "deflection": 0.018798554582315333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_3384",
      "improvement_over_parent": null
    },
    "node_3386": {
      "node_id": "node_3386",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n\nPerformance:\n  Mass: 178.18 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.1821119706441,
      "fos_buckling": 1.1487758759889013,
      "fos_yielding": 5.4611173425828134,
      "deflection": 0.016138752334886958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_3385",
      "improvement_over_parent": null
    },
    "node_3387": {
      "node_id": "node_3387",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n\nPerformance:\n  Mass: 212.04 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.03995901033582,
      "fos_buckling": 1.3312697882569553,
      "fos_yielding": 6.501340656171303,
      "deflection": 0.013614375422242201,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_3386",
      "improvement_over_parent": null
    },
    "node_3388": {
      "node_id": "node_3388",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.39 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.3913997789981,
      "fos_buckling": 1.5341995349896422,
      "fos_yielding": 7.742118773636486,
      "deflection": 0.011490429629489948,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_3387",
      "improvement_over_parent": null
    },
    "node_3389": {
      "node_id": "node_3389",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3388",
      "improvement_over_parent": null
    },
    "node_3390": {
      "node_id": "node_3390",
      "content": "INITIAL DESIGN (Trace 481)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n  Mass: 186.38 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.67e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.3768765022786,
      "fos_buckling": 0.22217137967681308,
      "fos_yielding": 3.3898310175039783,
      "deflection": 16709771465286.08,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3391": {
      "node_id": "node_3391",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n  Mass: 202.03 kg\n  Factor of Safety: 0.57\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.0300040323351,
      "fos_buckling": 0.5702711280607919,
      "fos_yielding": 4.085419683648914,
      "deflection": 0.01898871124749257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004515)"
      },
      "parent_node_id": "node_3390",
      "improvement_over_parent": null
    },
    "node_3392": {
      "node_id": "node_3392",
      "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0109)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n  Mass: 213.35 kg\n  Factor of Safety: 0.57\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.35095964048048,
      "fos_buckling": 0.5696451847648466,
      "fos_yielding": 4.080935428815956,
      "deflection": 0.019009131204605012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.618)"
      },
      "parent_node_id": "node_3391",
      "improvement_over_parent": null
    },
    "node_3393": {
      "node_id": "node_3393",
      "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0109)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n  Mass: 213.45 kg\n  Factor of Safety: 0.57\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.452541097287,
      "fos_buckling": 0.5696395744774329,
      "fos_yielding": 4.080895236743268,
      "deflection": 0.01900855464468664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.206)"
      },
      "parent_node_id": "node_3392",
      "improvement_over_parent": null
    },
    "node_3394": {
      "node_id": "node_3394",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0109)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n  Mass: 230.89 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.8873923531546,
      "fos_buckling": 1.1629945159474948,
      "fos_yielding": 5.998869365201134,
      "deflection": 0.013059107354446046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006393)"
      },
      "parent_node_id": "node_3393",
      "improvement_over_parent": null
    },
    "node_3395": {
      "node_id": "node_3395",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0122)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 254.88 kg\n  Factor of Safety: 1.27\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": 254.87817854188208,
      "fos_buckling": 1.2700138900911688,
      "fos_yielding": 6.637566049406385,
      "deflection": 0.011853601473549007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_3394",
      "improvement_over_parent": null
    },
    "node_3396": {
      "node_id": "node_3396",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "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 482)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 163.69 kg\n  Factor of Safety: 0.93\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": 163.69398118892488,
      "fos_buckling": 0.9308058984647087,
      "fos_yielding": 5.474849541953872,
      "deflection": 0.017580913875557116,
      "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 (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 180.89 kg\n  Factor of Safety: 1.02\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": 180.89353399806856,
      "fos_buckling": 1.0199330560681092,
      "fos_yielding": 6.0491869125888975,
      "deflection": 0.015939944945863132,
      "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 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 185.33 kg\n  Factor of Safety: 1.19\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": 185.3335531403021,
      "fos_buckling": 1.1882216908345453,
      "fos_yielding": 5.6808013294316515,
      "deflection": 0.015528884601985331,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.488)"
      },
      "parent_node_id": "node_3398",
      "improvement_over_parent": null
    },
    "node_3400": {
      "node_id": "node_3400",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 215.35 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.35034296258667,
      "fos_buckling": 1.348472825216479,
      "fos_yielding": 6.60313031056926,
      "deflection": 0.013410296994333855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_3399",
      "improvement_over_parent": null
    },
    "node_3401": {
      "node_id": "node_3401",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.41 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.40531981535187,
      "fos_buckling": 1.5342234761669864,
      "fos_yielding": 7.74259410961778,
      "deflection": 0.011489929817959543,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_3400",
      "improvement_over_parent": null
    },
    "node_3402": {
      "node_id": "node_3402",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3401",
      "improvement_over_parent": null
    },
    "node_3403": {
      "node_id": "node_3403",
      "content": "INITIAL DESIGN (Trace 483)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 223.42 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.41562757497886,
      "fos_buckling": 0.5059655990481414,
      "fos_yielding": 2.051587680946329,
      "deflection": 0.01989538834074878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3404": {
      "node_id": "node_3404",
      "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 224.00 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.0029128853218,
      "fos_buckling": 0.6776774757317708,
      "fos_yielding": 2.922082955539572,
      "deflection": 0.0190934593856078,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.471)"
      },
      "parent_node_id": "node_3403",
      "improvement_over_parent": null
    },
    "node_3405": {
      "node_id": "node_3405",
      "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 224.63 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.63079206726462,
      "fos_buckling": 0.6775950639458408,
      "fos_yielding": 3.8526585589941793,
      "deflection": 0.018637923797701784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.359)"
      },
      "parent_node_id": "node_3404",
      "improvement_over_parent": null
    },
    "node_3406": {
      "node_id": "node_3406",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 251.77 kg\n  Factor of Safety: 1.50\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": 251.76931563564708,
      "fos_buckling": 1.4975223423716064,
      "fos_yielding": 7.430659097823061,
      "deflection": 0.011521679714144547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)"
      },
      "parent_node_id": "node_3405",
      "improvement_over_parent": null
    },
    "node_3407": {
      "node_id": "node_3407",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4736364825681,
      "fos_buckling": 1.5345422342143278,
      "fos_yielding": 7.747642688185963,
      "deflection": 0.011486826308915213,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_3406",
      "improvement_over_parent": null
    },
    "node_3408": {
      "node_id": "node_3408",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3407",
      "improvement_over_parent": null
    },
    "node_3409": {
      "node_id": "node_3409",
      "content": "INITIAL DESIGN (Trace 484)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 208.03 kg\n  Factor of Safety: 0.78\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": 208.02732822526798,
      "fos_buckling": 0.7770146756226506,
      "fos_yielding": 5.840455499770206,
      "deflection": 0.01764823971774995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3410": {
      "node_id": "node_3410",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 231.31 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.31316782736522,
      "fos_buckling": 0.7752196051769019,
      "fos_yielding": 5.827681060025174,
      "deflection": 0.017346133880674967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)"
      },
      "parent_node_id": "node_3409",
      "improvement_over_parent": null
    },
    "node_3411": {
      "node_id": "node_3411",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 249.93 kg\n  Factor of Safety: 0.80\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": 249.92869388373254,
      "fos_buckling": 0.8024348650397091,
      "fos_yielding": 4.471659813436082,
      "deflection": 0.015748305070586218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_3410",
      "improvement_over_parent": null
    },
    "node_3412": {
      "node_id": "node_3412",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47468604479468,
      "fos_buckling": 1.5345733879322294,
      "fos_yielding": 7.7438950662768695,
      "deflection": 0.011486915002081113,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_3411",
      "improvement_over_parent": null
    },
    "node_3413": {
      "node_id": "node_3413",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3412",
      "improvement_over_parent": null
    },
    "node_3414": {
      "node_id": "node_3414",
      "content": "INITIAL DESIGN (Trace 485)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 202.45 kg\n  Factor of Safety: 0.29\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": 202.44953493174432,
      "fos_buckling": 0.29117032977530005,
      "fos_yielding": 1.6949155087519892,
      "deflection": 44240697772417.695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3415": {
      "node_id": "node_3415",
      "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 205.81 kg\n  Factor of Safety: 0.24\n  Max Deflection: 5.13e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.8075050796779,
      "fos_buckling": 0.24162082967441484,
      "fos_yielding": 1.6949155087519892,
      "deflection": 51343839109392.92,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.238)"
      },
      "parent_node_id": "node_3414",
      "improvement_over_parent": null
    },
    "node_3416": {
      "node_id": "node_3416",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 220.53 kg\n  Factor of Safety: 0.39\n  Max Deflection: 5.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.53201268833547,
      "fos_buckling": 0.3919796838047384,
      "fos_yielding": 2.9606195529786437,
      "deflection": 0.05160726385529992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)"
      },
      "parent_node_id": "node_3415",
      "improvement_over_parent": null
    },
    "node_3417": {
      "node_id": "node_3417",
      "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 226.64 kg\n  Factor of Safety: 0.39\n  Max Deflection: 5.15e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.63558803984282,
      "fos_buckling": 0.3917503635066115,
      "fos_yielding": 2.9588959625637337,
      "deflection": 0.051450173860123155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.410)"
      },
      "parent_node_id": "node_3416",
      "improvement_over_parent": null
    },
    "node_3418": {
      "node_id": "node_3418",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 227.34 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.33990888676385,
      "fos_buckling": 0.44254738318520953,
      "fos_yielding": 1.8798020295335216,
      "deflection": 0.024024812887988842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_3417",
      "improvement_over_parent": null
    },
    "node_3419": {
      "node_id": "node_3419",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4620505386107,
      "fos_buckling": 1.5347831461869998,
      "fos_yielding": 7.743625145138539,
      "deflection": 0.011487762755513834,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_3418",
      "improvement_over_parent": null
    },
    "node_3420": {
      "node_id": "node_3420",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3419",
      "improvement_over_parent": null
    },
    "node_3421": {
      "node_id": "node_3421",
      "content": "INITIAL DESIGN (Trace 486)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 208.14 kg\n  Factor of Safety: 0.60\n  Max Deflection: 9.50e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.136492818382,
      "fos_buckling": 0.6039381259973311,
      "fos_yielding": 3.3898310175039783,
      "deflection": 9496963335615.777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3422": {
      "node_id": "node_3422",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n  Mass: 224.81 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.65e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.8067766246391,
      "fos_buckling": 0.4426819354349327,
      "fos_yielding": 1.8809720515827721,
      "deflection": 0.026525023947982368,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)"
      },
      "parent_node_id": "node_3421",
      "improvement_over_parent": null
    },
    "node_3423": {
      "node_id": "node_3423",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 227.35 kg\n  Factor of Safety: 0.44\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": 227.35276878570124,
      "fos_buckling": 0.4424634346093898,
      "fos_yielding": 1.8800524804171403,
      "deflection": 0.024025166940959342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)"
      },
      "parent_node_id": "node_3422",
      "improvement_over_parent": null
    },
    "node_3424": {
      "node_id": "node_3424",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4749104375481,
      "fos_buckling": 1.5345627623964346,
      "fos_yielding": 7.743869215333045,
      "deflection": 0.01148690394530531,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_3423",
      "improvement_over_parent": null
    },
    "node_3425": {
      "node_id": "node_3425",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3424",
      "improvement_over_parent": null
    },
    "node_3426": {
      "node_id": "node_3426",
      "content": "INITIAL DESIGN (Trace 487)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n  Mass: 190.62 kg\n  Factor of Safety: 0.64\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": 190.6160746459842,
      "fos_buckling": 0.6399771192802693,
      "fos_yielding": 3.3389612658616397,
      "deflection": 0.020320498793402354,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3427": {
      "node_id": "node_3427",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n  Mass: 192.61 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.61121127717158,
      "fos_buckling": 1.0634098255536222,
      "fos_yielding": 6.3928322560183215,
      "deflection": 0.015314128645566952,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003118)"
      },
      "parent_node_id": "node_3426",
      "improvement_over_parent": null
    },
    "node_3428": {
      "node_id": "node_3428",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 246.07 kg\n  Factor of Safety: 1.32\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": 246.06662923154167,
      "fos_buckling": 1.3165473303405701,
      "fos_yielding": 8.16269539963102,
      "deflection": 0.012053166790618018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_3427",
      "improvement_over_parent": null
    },
    "node_3429": {
      "node_id": "node_3429",
      "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0107)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 253.67 kg\n  Factor of Safety: 1.31\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": 253.6658030610263,
      "fos_buckling": 1.3134666610915247,
      "fos_yielding": 8.326426260208448,
      "deflection": 0.011704584827285404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.318)"
      },
      "parent_node_id": "node_3428",
      "improvement_over_parent": null
    },
    "node_3430": {
      "node_id": "node_3430",
      "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0107)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 259.80 kg\n  Factor of Safety: 1.45\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": 259.80499054849906,
      "fos_buckling": 1.45409632652344,
      "fos_yielding": 8.127951450791045,
      "deflection": 0.011156285855191453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.355)"
      },
      "parent_node_id": "node_3429",
      "improvement_over_parent": null
    },
    "node_3431": {
      "node_id": "node_3431",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3430",
      "improvement_over_parent": null
    },
    "node_3432": {
      "node_id": "node_3432",
      "content": "INITIAL DESIGN (Trace 488)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0025)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n  Mass: 130.72 kg\n  Factor of Safety: 0.75\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": 130.7217699424928,
      "fos_buckling": 0.7489545908715911,
      "fos_yielding": 4.013711013619769,
      "deflection": 0.021667574269501798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3433": {
      "node_id": "node_3433",
      "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n  Mass: 133.97 kg\n  Factor of Safety: 0.86\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": 133.97188258618274,
      "fos_buckling": 0.8635974659799331,
      "fos_yielding": 4.191183572441836,
      "deflection": 0.021309720413539252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.460)"
      },
      "parent_node_id": "node_3432",
      "improvement_over_parent": null
    },
    "node_3434": {
      "node_id": "node_3434",
      "content": "MODIFICATION: Increase 15 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 136.53 kg\n  Factor of Safety: 0.91\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.53109141835142,
      "fos_buckling": 0.9087892380465253,
      "fos_yielding": 4.179027148864412,
      "deflection": 0.02112369016444725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.337)"
      },
      "parent_node_id": "node_3433",
      "improvement_over_parent": null
    },
    "node_3435": {
      "node_id": "node_3435",
      "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n  Mass: 139.47 kg\n  Factor of Safety: 0.91\n  Max Deflection: 2.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.469738453839,
      "fos_buckling": 0.9089878310569529,
      "fos_yielding": 4.4002940127869525,
      "deflection": 0.020436928098538365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.316)"
      },
      "parent_node_id": "node_3434",
      "improvement_over_parent": null
    },
    "node_3436": {
      "node_id": "node_3436",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 160.97 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.97008108497022,
      "fos_buckling": 1.0304743955109064,
      "fos_yielding": 5.079228958113482,
      "deflection": 0.017751654418568786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_3435",
      "improvement_over_parent": null
    },
    "node_3437": {
      "node_id": "node_3437",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 204.21 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.21261454011125,
      "fos_buckling": 1.2603037667061359,
      "fos_yielding": 6.445105213000362,
      "deflection": 0.01406310850793329,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_3436",
      "improvement_over_parent": null
    },
    "node_3438": {
      "node_id": "node_3438",
      "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n  Mass: 208.92 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.9205532965284,
      "fos_buckling": 1.314832746901572,
      "fos_yielding": 6.405897641693972,
      "deflection": 0.013812851154637405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.631)"
      },
      "parent_node_id": "node_3437",
      "improvement_over_parent": null
    },
    "node_3439": {
      "node_id": "node_3439",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4862064619192,
      "fos_buckling": 1.5345549011242297,
      "fos_yielding": 7.7455444954099235,
      "deflection": 0.011486337698195305,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_3438",
      "improvement_over_parent": null
    },
    "node_3440": {
      "node_id": "node_3440",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3439",
      "improvement_over_parent": null
    },
    "node_3441": {
      "node_id": "node_3441",
      "content": "INITIAL DESIGN (Trace 489)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n  Mass: 206.89 kg\n  Factor of Safety: 1.01\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": 206.88906068878097,
      "fos_buckling": 1.0147584916700363,
      "fos_yielding": 5.751842599339359,
      "deflection": 0.014344548447198536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3442": {
      "node_id": "node_3442",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 241.83 kg\n  Factor of Safety: 1.17\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": 241.8313386306338,
      "fos_buckling": 1.1676562662069547,
      "fos_yielding": 6.729608049751437,
      "deflection": 0.012314425220266914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_3441",
      "improvement_over_parent": null
    },
    "node_3443": {
      "node_id": "node_3443",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 242.54 kg\n  Factor of Safety: 1.17\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": 242.53565947755484,
      "fos_buckling": 1.17018595508476,
      "fos_yielding": 7.002717652994741,
      "deflection": 0.012276151257164147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_3442",
      "improvement_over_parent": null
    },
    "node_3444": {
      "node_id": "node_3444",
      "content": "MODIFICATION: Increase 10 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0123)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 255.05 kg\n  Factor of Safety: 1.27\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": 255.04911504215093,
      "fos_buckling": 1.2659937806085488,
      "fos_yielding": 6.62268837857311,
      "deflection": 0.011858077551714585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.631)"
      },
      "parent_node_id": "node_3443",
      "improvement_over_parent": null
    },
    "node_3445": {
      "node_id": "node_3445",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3444",
      "improvement_over_parent": null
    },
    "node_3446": {
      "node_id": "node_3446",
      "content": "INITIAL DESIGN (Trace 490)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n  Mass: 184.27 kg\n  Factor of Safety: 0.39\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": 184.26915371858277,
      "fos_buckling": 0.3877213997654644,
      "fos_yielding": 3.4787172848139005,
      "deflection": 0.01744401704001394,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3447": {
      "node_id": "node_3447",
      "content": "MODIFICATION: Increase 10 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n  Mass: 192.31 kg\n  Factor of Safety: 0.38\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": 192.30680543998918,
      "fos_buckling": 0.382087547041522,
      "fos_yielding": 3.4760674361337727,
      "deflection": 0.016520316805794345,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.603)"
      },
      "parent_node_id": "node_3446",
      "improvement_over_parent": null
    },
    "node_3448": {
      "node_id": "node_3448",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 233.47 kg\n  Factor of Safety: 0.45\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": 233.46545216640945,
      "fos_buckling": 0.44604657227088695,
      "fos_yielding": 4.203585237299378,
      "deflection": 0.013696232394946384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_3447",
      "improvement_over_parent": null
    },
    "node_3449": {
      "node_id": "node_3449",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.08 kg\n  Factor of Safety: 1.37\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": 252.08097822277676,
      "fos_buckling": 1.3714591118353208,
      "fos_yielding": 7.739197584734293,
      "deflection": 0.011516365591287754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_3448",
      "improvement_over_parent": null
    },
    "node_3450": {
      "node_id": "node_3450",
      "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.53923013364943,
      "fos_buckling": 1.5355496673474656,
      "fos_yielding": 7.747223343985143,
      "deflection": 0.011483678919827406,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.425)"
      },
      "parent_node_id": "node_3449",
      "improvement_over_parent": null
    },
    "node_3451": {
      "node_id": "node_3451",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3450",
      "improvement_over_parent": null
    },
    "node_3452": {
      "node_id": "node_3452",
      "content": "INITIAL DESIGN (Trace 491)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 228.94 kg\n  Factor of Safety: 0.41\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": 228.93787130887335,
      "fos_buckling": 0.40572119413261504,
      "fos_yielding": 5.410054461119413,
      "deflection": 0.014140296770340342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3453": {
      "node_id": "node_3453",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 247.79 kg\n  Factor of Safety: 1.40\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": 247.78591932418556,
      "fos_buckling": 1.4043965196445292,
      "fos_yielding": 7.708287580348302,
      "deflection": 0.011882686196786514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)"
      },
      "parent_node_id": "node_3452",
      "improvement_over_parent": null
    },
    "node_3454": {
      "node_id": "node_3454",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.06 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.05767340851048,
      "fos_buckling": 1.5176534193202857,
      "fos_yielding": 7.721713420778256,
      "deflection": 0.011532049813685377,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.225)"
      },
      "parent_node_id": "node_3453",
      "improvement_over_parent": null
    },
    "node_3455": {
      "node_id": "node_3455",
      "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.474041374767,
      "fos_buckling": 1.5345685393027682,
      "fos_yielding": 7.744523607782298,
      "deflection": 0.011486919812732463,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.267)"
      },
      "parent_node_id": "node_3454",
      "improvement_over_parent": null
    },
    "node_3456": {
      "node_id": "node_3456",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3455",
      "improvement_over_parent": null
    },
    "node_3457": {
      "node_id": "node_3457",
      "content": "INITIAL DESIGN (Trace 492)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n  Mass: 163.96 kg\n  Factor of Safety: 0.65\n  Max Deflection: 2.72e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.9601048355369,
      "fos_buckling": 0.6498584599001994,
      "fos_yielding": 3.7022496365655835,
      "deflection": 0.027205400780275772,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3458": {
      "node_id": "node_3458",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n  Mass: 174.63 kg\n  Factor of Safety: 1.01\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": 174.62616598212693,
      "fos_buckling": 1.0052596566359389,
      "fos_yielding": 5.107681683673431,
      "deflection": 0.016884627799905134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004398)"
      },
      "parent_node_id": "node_3457",
      "improvement_over_parent": null
    },
    "node_3459": {
      "node_id": "node_3459",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n\nPerformance:\n  Mass: 193.68 kg\n  Factor of Safety: 1.10\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": 193.6816780099753,
      "fos_buckling": 1.1021409047267434,
      "fos_yielding": 5.665544208878822,
      "deflection": 0.015252647337355598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_3458",
      "improvement_over_parent": null
    },
    "node_3460": {
      "node_id": "node_3460",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 194.25 kg\n  Factor of Safety: 1.10\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": 194.24770443832952,
      "fos_buckling": 1.0992079748171475,
      "fos_yielding": 5.900503677214788,
      "deflection": 0.015207086001681379,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001685)"
      },
      "parent_node_id": "node_3459",
      "improvement_over_parent": null
    },
    "node_3461": {
      "node_id": "node_3461",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 196.86 kg\n  Factor of Safety: 1.24\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": 196.85715969283564,
      "fos_buckling": 1.2392347614177406,
      "fos_yielding": 5.739436024487021,
      "deflection": 0.014982336812674179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.218)"
      },
      "parent_node_id": "node_3460",
      "improvement_over_parent": null
    },
    "node_3462": {
      "node_id": "node_3462",
      "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n  Mass: 202.77 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.7718650056136,
      "fos_buckling": 1.282340667094039,
      "fos_yielding": 6.216556449568262,
      "deflection": 0.014221726151754835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.524)"
      },
      "parent_node_id": "node_3461",
      "improvement_over_parent": null
    },
    "node_3463": {
      "node_id": "node_3463",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.45300952279297,
      "fos_buckling": 1.534396867789757,
      "fos_yielding": 7.744066595587908,
      "deflection": 0.011487812267934954,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_3462",
      "improvement_over_parent": null
    },
    "node_3464": {
      "node_id": "node_3464",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3463",
      "improvement_over_parent": null
    },
    "node_3465": {
      "node_id": "node_3465",
      "content": "INITIAL DESIGN (Trace 493)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 152.90 kg\n  Factor of Safety: 0.35\n  Max Deflection: 3.99e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.90296707512218,
      "fos_buckling": 0.3463442067199952,
      "fos_yielding": 0.9586784099931204,
      "deflection": 0.03991320572963861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3466": {
      "node_id": "node_3466",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 180.22 kg\n  Factor of Safety: 0.40\n  Max Deflection: 3.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.21848891264523,
      "fos_buckling": 0.39765725179827294,
      "fos_yielding": 1.124821596497348,
      "deflection": 0.0340108821266012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_3465",
      "improvement_over_parent": null
    },
    "node_3467": {
      "node_id": "node_3467",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n\nPerformance:\n  Mass: 193.12 kg\n  Factor of Safety: 0.40\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": 193.11721331467692,
      "fos_buckling": 0.3974078736082721,
      "fos_yielding": 1.6135557139743661,
      "deflection": 0.02770971365843392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005395)"
      },
      "parent_node_id": "node_3466",
      "improvement_over_parent": null
    },
    "node_3468": {
      "node_id": "node_3468",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 220.62 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.61617498619097,
      "fos_buckling": 0.44270910330667185,
      "fos_yielding": 1.8363272456543185,
      "deflection": 0.024344152721502938,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_3467",
      "improvement_over_parent": null
    },
    "node_3469": {
      "node_id": "node_3469",
      "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0086)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n  Mass: 225.08 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.43e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.07828495256183,
      "fos_buckling": 0.4426133357227505,
      "fos_yielding": 1.8147708281253334,
      "deflection": 0.024301926895171456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.271)"
      },
      "parent_node_id": "node_3468",
      "improvement_over_parent": null
    },
    "node_3470": {
      "node_id": "node_3470",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0086)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 250.20 kg\n  Factor of Safety: 1.59\n  Max Deflection: 1.17e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 250.20042660440868,
      "fos_buckling": 1.585042294906175,
      "fos_yielding": 7.475883514130268,
      "deflection": 0.011699387560373056,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)"
      },
      "parent_node_id": "node_3469",
      "improvement_over_parent": null
    },
    "node_3471": {
      "node_id": "node_3471",
      "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n  M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0086)]\n  M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 253.44 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.43727749879946,
      "fos_buckling": 1.5341615030876097,
      "fos_yielding": 7.704390960517106,
      "deflection": 0.011475690690098529,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.185)"
      },
      "parent_node_id": "node_3470",
      "improvement_over_parent": null
    },
    "node_3472": {
      "node_id": "node_3472",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3471",
      "improvement_over_parent": null
    },
    "node_3473": {
      "node_id": "node_3473",
      "content": "INITIAL DESIGN (Trace 494)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 172.08 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.52e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.08052979681838,
      "fos_buckling": 1.4839220240014692,
      "fos_yielding": 7.630887913979913,
      "deflection": 15194442026005.615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3474": {
      "node_id": "node_3474",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n  Mass: 195.56 kg\n  Factor of Safety: 0.81\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": 195.56184722582066,
      "fos_buckling": 0.8146633646999292,
      "fos_yielding": 4.210845990737685,
      "deflection": 0.018806530082977207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006955)"
      },
      "parent_node_id": "node_3473",
      "improvement_over_parent": null
    },
    "node_3475": {
      "node_id": "node_3475",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 226.07 kg\n  Factor of Safety: 0.92\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": 226.0710966636511,
      "fos_buckling": 0.9163291545115103,
      "fos_yielding": 4.871974380933408,
      "deflection": 0.016306111615993487,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_3474",
      "improvement_over_parent": null
    },
    "node_3476": {
      "node_id": "node_3476",
      "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n  Mass: 232.47 kg\n  Factor of Safety: 0.92\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": 232.46561917155736,
      "fos_buckling": 0.9157621447427984,
      "fos_yielding": 6.808511718573423,
      "deflection": 0.014757144349320864,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.437)"
      },
      "parent_node_id": "node_3475",
      "improvement_over_parent": null
    },
    "node_3477": {
      "node_id": "node_3477",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 251.73 kg\n  Factor of Safety: 1.50\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": 251.73185999246468,
      "fos_buckling": 1.4972986098910468,
      "fos_yielding": 7.426177184326169,
      "deflection": 0.011523473156765659,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)"
      },
      "parent_node_id": "node_3476",
      "improvement_over_parent": null
    },
    "node_3478": {
      "node_id": "node_3478",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.44 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.4361808393857,
      "fos_buckling": 1.5344428106693342,
      "fos_yielding": 7.743037528418274,
      "deflection": 0.011488598600322142,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_3477",
      "improvement_over_parent": null
    },
    "node_3479": {
      "node_id": "node_3479",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3478",
      "improvement_over_parent": null
    },
    "node_3480": {
      "node_id": "node_3480",
      "content": "INITIAL DESIGN (Trace 495)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n  Mass: 163.01 kg\n  Factor of Safety: 0.31\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": 163.00529069349142,
      "fos_buckling": 0.31057294927074425,
      "fos_yielding": 3.7583929071789206,
      "deflection": 0.019071755012188295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3481": {
      "node_id": "node_3481",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 203.81 kg\n  Factor of Safety: 0.38\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": 203.81314955817209,
      "fos_buckling": 0.37636978263324766,
      "fos_yielding": 4.7013115010295925,
      "deflection": 0.015312990530002905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_3480",
      "improvement_over_parent": null
    },
    "node_3482": {
      "node_id": "node_3482",
      "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 204.15 kg\n  Factor of Safety: 0.37\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": 204.15439618465896,
      "fos_buckling": 0.3668641176300941,
      "fos_yielding": 4.701311501029586,
      "deflection": 0.01527844195843845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.435)"
      },
      "parent_node_id": "node_3481",
      "improvement_over_parent": null
    },
    "node_3483": {
      "node_id": "node_3483",
      "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n\nPerformance:\n  Mass: 215.49 kg\n  Factor of Safety: 1.14\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": 215.49261861531306,
      "fos_buckling": 1.140695692588724,
      "fos_yielding": 6.470571891062636,
      "deflection": 0.013325527108193711,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003933)"
      },
      "parent_node_id": "node_3482",
      "improvement_over_parent": null
    },
    "node_3484": {
      "node_id": "node_3484",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n\nPerformance:\n  Mass: 246.35 kg\n  Factor of Safety: 1.29\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": 246.34555453949835,
      "fos_buckling": 1.2874397452251334,
      "fos_yielding": 7.402267322394405,
      "deflection": 0.011696698426609897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_3483",
      "improvement_over_parent": null
    },
    "node_3485": {
      "node_id": "node_3485",
      "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n\nPerformance:\n  Mass: 253.88 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.88231763548063,
      "fos_buckling": 1.277796402247991,
      "fos_yielding": 7.425792308994169,
      "deflection": 0.011586503289276228,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.490)"
      },
      "parent_node_id": "node_3484",
      "improvement_over_parent": null
    },
    "node_3486": {
      "node_id": "node_3486",
      "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n\nPerformance:\n  Mass: 254.17 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.17443887863956,
      "fos_buckling": 1.275888644478507,
      "fos_yielding": 7.430041779082883,
      "deflection": 0.011565804373979112,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.238)"
      },
      "parent_node_id": "node_3485",
      "improvement_over_parent": null
    },
    "node_3487": {
      "node_id": "node_3487",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3486",
      "improvement_over_parent": null
    },
    "node_3488": {
      "node_id": "node_3488",
      "content": "INITIAL DESIGN (Trace 496)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n  Mass: 160.25 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.62e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.24595610557407,
      "fos_buckling": 0.5193115675272819,
      "fos_yielding": 2.11230882726289,
      "deflection": 0.02617305256692059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3489": {
      "node_id": "node_3489",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 179.18 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.34e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.18333322301095,
      "fos_buckling": 0.5758896933542946,
      "fos_yielding": 2.3664667263956414,
      "deflection": 0.023427825183779317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_3488",
      "improvement_over_parent": null
    },
    "node_3490": {
      "node_id": "node_3490",
      "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n  Mass: 179.30 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.33e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.30431437492018,
      "fos_buckling": 0.5800502564656689,
      "fos_yielding": 2.9247587827566255,
      "deflection": 0.02328378405286441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.321)"
      },
      "parent_node_id": "node_3489",
      "improvement_over_parent": null
    },
    "node_3491": {
      "node_id": "node_3491",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n\nPerformance:\n  Mass: 181.20 kg\n  Factor of Safety: 0.95\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": 181.1982988270493,
      "fos_buckling": 0.9488462445060535,
      "fos_yielding": 5.3086273978790475,
      "deflection": 0.01620865795685219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002949)"
      },
      "parent_node_id": "node_3490",
      "improvement_over_parent": null
    },
    "node_3492": {
      "node_id": "node_3492",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n  Mass: 204.59 kg\n  Factor of Safety: 1.06\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": 204.58962722733293,
      "fos_buckling": 1.0588547988523085,
      "fos_yielding": 5.9974906319338865,
      "deflection": 0.014390475730432414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_3491",
      "improvement_over_parent": null
    },
    "node_3493": {
      "node_id": "node_3493",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 244.00 kg\n  Factor of Safety: 1.24\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": 243.9991724146635,
      "fos_buckling": 1.237762059699758,
      "fos_yielding": 7.160204287925108,
      "deflection": 0.012115403609808046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_3492",
      "improvement_over_parent": null
    },
    "node_3494": {
      "node_id": "node_3494",
      "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 249.19 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.1880598884912,
      "fos_buckling": 1.430336452983057,
      "fos_yielding": 7.556016834401596,
      "deflection": 0.011693140594109495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.297)"
      },
      "parent_node_id": "node_3493",
      "improvement_over_parent": null
    },
    "node_3495": {
      "node_id": "node_3495",
      "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0111)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n  Mass: 258.77 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.76780000044835,
      "fos_buckling": 1.4682162256723572,
      "fos_yielding": 7.195780501585557,
      "deflection": 0.011418993052176153,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.475)"
      },
      "parent_node_id": "node_3494",
      "improvement_over_parent": null
    },
    "node_3496": {
      "node_id": "node_3496",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3495",
      "improvement_over_parent": null
    },
    "node_3497": {
      "node_id": "node_3497",
      "content": "INITIAL DESIGN (Trace 497)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0027)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n  Mass: 126.06 kg\n  Factor of Safety: 0.29\n  Max Deflection: 4.56e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.0601068361545,
      "fos_buckling": 0.2852848772787801,
      "fos_yielding": 1.134700733318977,
      "deflection": 0.045590216652464,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3498": {
      "node_id": "node_3498",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n  Mass: 163.99 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.52e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.98913688187943,
      "fos_buckling": 0.3583996591291483,
      "fos_yielding": 1.467317264850686,
      "deflection": 0.035165577297760243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_3497",
      "improvement_over_parent": null
    },
    "node_3499": {
      "node_id": "node_3499",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n  Mass: 178.40 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.40322524010006,
      "fos_buckling": 0.9866884668726142,
      "fos_yielding": 5.727308043631791,
      "deflection": 0.01703950933083839,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004489)"
      },
      "parent_node_id": "node_3498",
      "improvement_over_parent": null
    },
    "node_3500": {
      "node_id": "node_3500",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n\nPerformance:\n  Mass: 196.83 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.83323729860922,
      "fos_buckling": 1.076764526689988,
      "fos_yielding": 6.31521736353774,
      "deflection": 0.015467985356807542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_3499",
      "improvement_over_parent": null
    },
    "node_3501": {
      "node_id": "node_3501",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n\nPerformance:\n  Mass: 230.95 kg\n  Factor of Safety: 1.24\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": 230.94709159444565,
      "fos_buckling": 1.237736910533928,
      "fos_yielding": 7.402588519875308,
      "deflection": 0.013220384806676989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_3500",
      "improvement_over_parent": null
    },
    "node_3502": {
      "node_id": "node_3502",
      "content": "MODIFICATION: Increase 11 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0100)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n\nPerformance:\n  Mass: 239.16 kg\n  Factor of Safety: 1.20\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.15561231611431,
      "fos_buckling": 1.201136573831698,
      "fos_yielding": 7.593915490373952,
      "deflection": 0.013114708309940798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.575)"
      },
      "parent_node_id": "node_3501",
      "improvement_over_parent": null
    },
    "node_3503": {
      "node_id": "node_3503",
      "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0085)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0100)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n\nPerformance:\n  Mass: 243.95 kg\n  Factor of Safety: 1.20\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.94769764127795,
      "fos_buckling": 1.2034555453611104,
      "fos_yielding": 7.572722190289366,
      "deflection": 0.013033515536121792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.372)"
      },
      "parent_node_id": "node_3502",
      "improvement_over_parent": null
    },
    "node_3504": {
      "node_id": "node_3504",
      "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0085)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0100)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n\nPerformance:\n  Mass: 250.97 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.96881544820303,
      "fos_buckling": 1.2713441442719113,
      "fos_yielding": 8.046734451151082,
      "deflection": 0.012291249371201738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.403)"
      },
      "parent_node_id": "node_3503",
      "improvement_over_parent": null
    },
    "node_3505": {
      "node_id": "node_3505",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3504",
      "improvement_over_parent": null
    },
    "node_3506": {
      "node_id": "node_3506",
      "content": "INITIAL DESIGN (Trace 498)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n\nPerformance:\n  Mass: 181.64 kg\n  Factor of Safety: 1.29\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": 181.64339480314126,
      "fos_buckling": 1.2938139257076058,
      "fos_yielding": 8.003129784795076,
      "deflection": 18563561963561.07,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3507": {
      "node_id": "node_3507",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n  Mass: 193.31 kg\n  Factor of Safety: 0.68\n  Max Deflection: 2.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.31106406305162,
      "fos_buckling": 0.6772145279888895,
      "fos_yielding": 4.962525942417396,
      "deflection": 0.022650720148439333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004186)"
      },
      "parent_node_id": "node_3506",
      "improvement_over_parent": null
    },
    "node_3508": {
      "node_id": "node_3508",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n  Mass: 229.10 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.09519921946887,
      "fos_buckling": 0.7753004828489035,
      "fos_yielding": 5.83341309302679,
      "deflection": 0.019221304950948197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_3507",
      "improvement_over_parent": null
    },
    "node_3509": {
      "node_id": "node_3509",
      "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n  Mass: 233.00 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.00177178233258,
      "fos_buckling": 0.774726078231235,
      "fos_yielding": 5.82271236156918,
      "deflection": 0.018263928172301762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.309)"
      },
      "parent_node_id": "node_3508",
      "improvement_over_parent": null
    },
    "node_3510": {
      "node_id": "node_3510",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 251.62 kg\n  Factor of Safety: 1.50\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": 251.6172978386999,
      "fos_buckling": 1.4967879497491174,
      "fos_yielding": 7.422409303364799,
      "deflection": 0.011528958738210814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)"
      },
      "parent_node_id": "node_3509",
      "improvement_over_parent": null
    },
    "node_3511": {
      "node_id": "node_3511",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n  Mass: 252.32 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.32161868562093,
      "fos_buckling": 1.5337474329762548,
      "fos_yielding": 7.73926390998295,
      "deflection": 0.011494031851690104,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)"
      },
      "parent_node_id": "node_3510",
      "improvement_over_parent": null
    },
    "node_3512": {
      "node_id": "node_3512",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3511",
      "improvement_over_parent": null
    },
    "node_3513": {
      "node_id": "node_3513",
      "content": "INITIAL DESIGN (Trace 499)\n\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n  Mass: 132.70 kg\n  Factor of Safety: 0.24\n  Max Deflection: 8.33e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.7029521835976,
      "fos_buckling": 0.24469444934301385,
      "fos_yielding": 0.8474577543759946,
      "deflection": 83341803155620.4,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3514": {
      "node_id": "node_3514",
      "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n\nPerformance:\n  Mass: 152.85 kg\n  Factor of Safety: 0.53\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.85387799412956,
      "fos_buckling": 0.5305442311820356,
      "fos_yielding": 4.396288626124868,
      "deflection": 0.02397625853615435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005900)"
      },
      "parent_node_id": "node_3513",
      "improvement_over_parent": null
    },
    "node_3515": {
      "node_id": "node_3515",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n\nPerformance:\n  Mass: 154.74 kg\n  Factor of Safety: 0.32\n  Max Deflection: 2.28e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.7442565241827,
      "fos_buckling": 0.32371058062503827,
      "fos_yielding": 4.394702951978027,
      "deflection": 0.022816818356790603,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002943)"
      },
      "parent_node_id": "node_3514",
      "improvement_over_parent": null
    },
    "node_3516": {
      "node_id": "node_3516",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n  Mass: 182.20 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.20252686562893,
      "fos_buckling": 0.3705336456416294,
      "fos_yielding": 5.139956763121368,
      "deflection": 0.019445830802777935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_3515",
      "improvement_over_parent": null
    },
    "node_3517": {
      "node_id": "node_3517",
      "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n  Mass: 198.48 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.4786454047628,
      "fos_buckling": 0.8214632974385538,
      "fos_yielding": 5.97243015994577,
      "deflection": 0.016859570095832332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005826)"
      },
      "parent_node_id": "node_3516",
      "improvement_over_parent": null
    },
    "node_3518": {
      "node_id": "node_3518",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n\nPerformance:\n  Mass: 218.84 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.83806592299885,
      "fos_buckling": 1.3273244377545834,
      "fos_yielding": 6.75434175329138,
      "deflection": 0.013155201980035992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006516)"
      },
      "parent_node_id": "node_3517",
      "improvement_over_parent": null
    },
    "node_3519": {
      "node_id": "node_3519",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 250.14 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.13917367130261,
      "fos_buckling": 1.4826190288362533,
      "fos_yielding": 7.722518944021685,
      "deflection": 0.011550740960450482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_3518",
      "improvement_over_parent": null
    },
    "node_3520": {
      "node_id": "node_3520",
      "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n  M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n  Mass: 252.24 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.2393174097835,
      "fos_buckling": 1.5334631741827667,
      "fos_yielding": 7.736304489028901,
      "deflection": 0.011497313818767752,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.183)"
      },
      "parent_node_id": "node_3519",
      "improvement_over_parent": null
    },
    "node_3521": {
      "node_id": "node_3521",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.06, 0.00) [free]\n  J2: pos=(8.12, 0.00) [free]\n  J3: pos=(12.18, 0.00) [roller]\n  J4: pos=(0.00, 1.65) [free]\n  J5: pos=(4.06, 1.65) [free]\n  J6: pos=(8.12, 1.65) [free]\n  J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n  M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n  M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n  M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n  M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n  M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n  M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n  M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n  M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.47350407438842,
      "fos_buckling": 1.534569200232752,
      "fos_yielding": 7.744491336201017,
      "deflection": 0.011486930451481015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3520",
      "improvement_over_parent": null
    }
  },
  "edges": [
    {
      "from_node": "node_0",
      "to_node": "node_1",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "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 13 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.645)",
      "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 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "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_6",
      "to_node": "node_7",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.471)",
      "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 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_8",
      "to_node": "node_9",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_10",
      "to_node": "node_11",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_11",
      "to_node": "node_12",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "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 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "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": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "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 12 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.244)",
      "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": "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_18",
      "to_node": "node_19",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005234)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_19",
      "to_node": "node_20",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_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 12 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.326)",
      "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 12 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.206)",
      "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 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Increase 5 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.241)",
      "action_type": null,
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      "reasoning": "Add member connecting joints 2 and 5",
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      "reasoning": "Increase all_members thickness by 26%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.379)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)",
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      "reasoning": "Increase 9 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.233)",
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      "reasoning": "Increase 10 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.350)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
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      "from_node": "node_48",
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      "reasoning": "Optimal solution",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.258)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005106)",
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      "metadata": null,
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      "reasoning": "Add member connecting joints 6 and 7",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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      "metadata": null,
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.182)",
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      "to_node": "node_80",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(1, thickness, 1.497)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 19%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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    {
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
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    {
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    {
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    {
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "edge_type": "modification",
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      "to_node": "node_148",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "reasoning": "Add member connecting joints 4 and 5",
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      "from_node": "node_158",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "edge_type": "modification",
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      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.449)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)",
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    {
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      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005399)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.477)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "reasoning": "Increase all_members thickness by 14%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
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      "metadata": null,
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      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 2 and 6",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005491)",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 20%",
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      "grammar_action": "SCALE_PARAM(12, thickness, 1.200)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
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      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.253)",
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 62%",
      "metadata": null,
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      "from_node": "node_229",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.261)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 24%",
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      "grammar_action": "SCALE_PARAM(1, thickness, 1.238)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
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    {
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003965)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
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    {
      "from_node": "node_248",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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    {
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.585)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.340)",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.527)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_261",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "to_node": "node_265",
      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.447)",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 61%",
      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.294)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
      "action_type": null,
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      "from_node": "node_275",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
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    {
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      "reasoning": "Increase 1 thickness by 44%",
      "metadata": null,
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    {
      "from_node": "node_277",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005206)",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.531)",
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.393)",
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      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005679)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_288",
      "to_node": "node_289",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
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    {
      "from_node": "node_289",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006183)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
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      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.193)",
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.479)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.359)",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.230)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
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    {
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      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
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    {
      "from_node": "node_307",
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    {
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      "metadata": null,
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    {
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      "edge_type": "modification",
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      "metadata": null,
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    {
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "reasoning": "Increase all_members thickness by 23%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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    {
      "from_node": "node_340",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
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      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
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      "reasoning": "Increase 11 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.511)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "reasoning": "Increase 11 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.337)",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
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      "reasoning": "Increase 10 thickness by 47%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
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      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.383)",
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    {
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.302)",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "metadata": null,
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      "metadata": null,
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      "reasoning": "Increase all_members thickness by 16%",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
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      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.178)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.250)",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "reasoning": "Add member connecting joints 3 and 6",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 32%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.256)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
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      "from_node": "node_403",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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      "to_node": "node_405",
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      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.592)",
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      "from_node": "node_406",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 48%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.351)",
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      "from_node": "node_411",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005537)",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.316)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)",
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      "from_node": "node_414",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_417",
      "to_node": "node_418",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001665)",
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      "from_node": "node_418",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
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      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005286)",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.391)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006342)",
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      "from_node": "node_421",
      "to_node": "node_422",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)",
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    {
      "from_node": "node_422",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
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      "reasoning": "Increase 14 thickness by 48%",
      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.616)",
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    {
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.418)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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    {
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      "reasoning": "Increase 3 thickness by 35%",
      "metadata": null,
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    {
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.206)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "metadata": null,
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      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.567)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.471)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.399)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
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      "to_node": "node_447",
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      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005760)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)",
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    {
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      "to_node": "node_449",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.431)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
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      "to_node": "node_454",
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      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004559)",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 29%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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    {
      "from_node": "node_457",
      "to_node": "node_458",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_460",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004415)",
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    {
      "from_node": "node_460",
      "to_node": "node_461",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 43%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 19%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
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      "reasoning": "Add member connecting joints 2 and 7",
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    {
      "from_node": "node_465",
      "to_node": "node_466",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "from_node": "node_467",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006388)",
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    {
      "from_node": "node_468",
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      "reasoning": "Add member connecting joints 1 and 6",
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      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005405)",
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      "reasoning": "Increase 4 thickness by 47%",
      "metadata": null,
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
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    {
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005901)",
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    {
      "from_node": "node_475",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.553)",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.238)",
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    {
      "from_node": "node_477",
      "to_node": "node_478",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
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    {
      "from_node": "node_478",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.385)",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.287)",
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    {
      "from_node": "node_482",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004064)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.241)",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005449)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)",
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    {
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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    {
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.420)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.468)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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    {
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      "to_node": "node_505",
      "edge_type": "modification",
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      "to_node": "node_506",
      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_509",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.582)",
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      "scale_factor": null
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    {
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      "to_node": "node_511",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
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      "reasoning": "Optimal solution",
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      "to_node": "node_521",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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      "to_node": "node_522",
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      "metadata": null,
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      "reasoning": "Increase 7 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.427)",
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.486)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.658)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
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      "from_node": "node_527",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.458)",
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    {
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      "to_node": "node_531",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
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    {
      "from_node": "node_531",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
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    {
      "from_node": "node_532",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
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      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005604)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
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    {
      "from_node": "node_537",
      "to_node": "node_538",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
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    {
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      "edge_type": "modification",
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      "to_node": "node_541",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase 9 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.441)",
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    {
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      "to_node": "node_550",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
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    {
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      "reasoning": "Increase all_members thickness by 28%",
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    {
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.639)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.001740)",
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    {
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    {
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "to_node": "node_566",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 0 and 5",
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      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007154)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
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      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
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      "to_node": "node_573",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_575",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
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    {
      "from_node": "node_575",
      "to_node": "node_576",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    {
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      "to_node": "node_577",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.325)",
      "action_type": null,
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    {
      "from_node": "node_577",
      "to_node": "node_578",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_580",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.555)",
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      "from_node": "node_580",
      "to_node": "node_581",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.208)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)",
      "action_type": null,
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    {
      "from_node": "node_582",
      "to_node": "node_583",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "action_type": null,
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    {
      "from_node": "node_583",
      "to_node": "node_584",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_585",
      "to_node": "node_586",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.302)",
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    {
      "from_node": "node_586",
      "to_node": "node_587",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)",
      "action_type": null,
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    {
      "from_node": "node_587",
      "to_node": "node_588",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
      "action_type": null,
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    {
      "from_node": "node_588",
      "to_node": "node_589",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.350)",
      "action_type": null,
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    {
      "from_node": "node_589",
      "to_node": "node_590",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.272)",
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    {
      "from_node": "node_591",
      "to_node": "node_592",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
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    {
      "from_node": "node_592",
      "to_node": "node_593",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_594",
      "to_node": "node_595",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003378)",
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    {
      "from_node": "node_595",
      "to_node": "node_596",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
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    {
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      "to_node": "node_597",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)",
      "action_type": null,
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      "from_node": "node_598",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
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    {
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      "to_node": "node_600",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_601",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)",
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    {
      "from_node": "node_602",
      "to_node": "node_603",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)",
      "action_type": null,
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    {
      "from_node": "node_603",
      "to_node": "node_604",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)",
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    {
      "from_node": "node_604",
      "to_node": "node_605",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.592)",
      "action_type": null,
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    {
      "from_node": "node_605",
      "to_node": "node_606",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_607",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
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    {
      "from_node": "node_608",
      "to_node": "node_609",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.506)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.215)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_610",
      "to_node": "node_611",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
      "action_type": null,
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    },
    {
      "from_node": "node_611",
      "to_node": "node_612",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "action_type": null,
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    {
      "from_node": "node_612",
      "to_node": "node_613",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.656)",
      "action_type": null,
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    {
      "from_node": "node_613",
      "to_node": "node_614",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_616",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.642)",
      "action_type": null,
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    {
      "from_node": "node_616",
      "to_node": "node_617",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.458)",
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    {
      "from_node": "node_617",
      "to_node": "node_618",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "action_type": null,
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    {
      "from_node": "node_618",
      "to_node": "node_619",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005289)",
      "action_type": null,
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    {
      "from_node": "node_619",
      "to_node": "node_620",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.348)",
      "action_type": null,
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    {
      "from_node": "node_620",
      "to_node": "node_621",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_622",
      "to_node": "node_623",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
      "action_type": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_624",
      "to_node": "node_625",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006024)",
      "action_type": null,
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    {
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      "to_node": "node_626",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.274)",
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    {
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      "to_node": "node_627",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
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    {
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      "to_node": "node_628",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_630",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_631",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
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    {
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      "to_node": "node_632",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_633",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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      "reasoning": "Increase all_members thickness by 12%",
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      "reasoning": "Increase all_members thickness by 33%",
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      "reasoning": "Increase all_members thickness by 32%",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
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      "reasoning": "Add member connecting joints 2 and 6",
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      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.253)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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      "to_node": "node_693",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
      "action_type": null,
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    {
      "from_node": "node_693",
      "to_node": "node_694",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_695",
      "to_node": "node_696",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
      "action_type": null,
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    {
      "from_node": "node_696",
      "to_node": "node_697",
      "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,
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    {
      "from_node": "node_697",
      "to_node": "node_698",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_698",
      "to_node": "node_699",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003553)",
      "action_type": null,
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    {
      "from_node": "node_699",
      "to_node": "node_700",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005581)",
      "action_type": null,
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    {
      "from_node": "node_700",
      "to_node": "node_701",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005766)",
      "action_type": null,
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    {
      "from_node": "node_701",
      "to_node": "node_702",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_702",
      "to_node": "node_703",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_704",
      "to_node": "node_705",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_705",
      "to_node": "node_706",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_706",
      "to_node": "node_707",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_707",
      "to_node": "node_708",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
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    {
      "from_node": "node_708",
      "to_node": "node_709",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_710",
      "to_node": "node_711",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)",
      "action_type": null,
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    {
      "from_node": "node_711",
      "to_node": "node_712",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.271)",
      "action_type": null,
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    {
      "from_node": "node_712",
      "to_node": "node_713",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.451)",
      "action_type": null,
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    {
      "from_node": "node_713",
      "to_node": "node_714",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.529)",
      "action_type": null,
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    {
      "from_node": "node_714",
      "to_node": "node_715",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.247)",
      "action_type": null,
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    {
      "from_node": "node_715",
      "to_node": "node_716",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_716",
      "to_node": "node_717",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_718",
      "to_node": "node_719",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003905)",
      "action_type": null,
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    {
      "from_node": "node_719",
      "to_node": "node_720",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.504)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_720",
      "to_node": "node_721",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_721",
      "to_node": "node_722",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
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    },
    {
      "from_node": "node_722",
      "to_node": "node_723",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_724",
      "to_node": "node_725",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005728)",
      "action_type": null,
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    {
      "from_node": "node_725",
      "to_node": "node_726",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.362)",
      "action_type": null,
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    {
      "from_node": "node_726",
      "to_node": "node_727",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.618)",
      "action_type": null,
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    {
      "from_node": "node_727",
      "to_node": "node_728",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006367)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_728",
      "to_node": "node_729",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005261)",
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    {
      "from_node": "node_729",
      "to_node": "node_730",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
      "action_type": null,
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    },
    {
      "from_node": "node_730",
      "to_node": "node_731",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_732",
      "to_node": "node_733",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
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    {
      "from_node": "node_733",
      "to_node": "node_734",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.323)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_734",
      "to_node": "node_735",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.333)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_735",
      "to_node": "node_736",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_737",
      "to_node": "node_738",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004882)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_738",
      "to_node": "node_739",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
      "action_type": null,
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    {
      "from_node": "node_739",
      "to_node": "node_740",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_740",
      "to_node": "node_741",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_741",
      "to_node": "node_742",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.582)",
      "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 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
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    {
      "from_node": "node_743",
      "to_node": "node_744",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_745",
      "to_node": "node_746",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.335)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_746",
      "to_node": "node_747",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.381)",
      "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 9 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.435)",
      "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 9 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.239)",
      "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": "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_750",
      "to_node": "node_751",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
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      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004947)",
      "action_type": null,
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      "from_node": "node_754",
      "to_node": "node_755",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_755",
      "to_node": "node_756",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_757",
      "to_node": "node_758",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
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    {
      "from_node": "node_758",
      "to_node": "node_759",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005839)",
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    {
      "from_node": "node_759",
      "to_node": "node_760",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)",
      "action_type": null,
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    {
      "from_node": "node_760",
      "to_node": "node_761",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_763",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.285)",
      "action_type": null,
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      "from_node": "node_763",
      "to_node": "node_764",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.443)",
      "action_type": null,
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    {
      "from_node": "node_764",
      "to_node": "node_765",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.289)",
      "action_type": null,
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    {
      "from_node": "node_765",
      "to_node": "node_766",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.550)",
      "action_type": null,
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    {
      "from_node": "node_766",
      "to_node": "node_767",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_768",
      "to_node": "node_769",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003494)",
      "action_type": null,
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    },
    {
      "from_node": "node_769",
      "to_node": "node_770",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006132)",
      "action_type": null,
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    {
      "from_node": "node_770",
      "to_node": "node_771",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005837)",
      "action_type": null,
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    {
      "from_node": "node_771",
      "to_node": "node_772",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
      "action_type": null,
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    {
      "from_node": "node_772",
      "to_node": "node_773",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.431)",
      "action_type": null,
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    {
      "from_node": "node_773",
      "to_node": "node_774",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_775",
      "to_node": "node_776",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
      "action_type": null,
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    {
      "from_node": "node_776",
      "to_node": "node_777",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.645)",
      "action_type": null,
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    {
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      "to_node": "node_778",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.422)",
      "action_type": null,
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    {
      "from_node": "node_778",
      "to_node": "node_779",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_779",
      "to_node": "node_780",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_781",
      "to_node": "node_782",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006748)",
      "action_type": null,
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    },
    {
      "from_node": "node_782",
      "to_node": "node_783",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
      "action_type": null,
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    {
      "from_node": "node_783",
      "to_node": "node_784",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.429)",
      "action_type": null,
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    {
      "from_node": "node_784",
      "to_node": "node_785",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.205)",
      "action_type": null,
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    {
      "from_node": "node_785",
      "to_node": "node_786",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
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    {
      "from_node": "node_786",
      "to_node": "node_787",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_788",
      "to_node": "node_789",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003619)",
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    {
      "from_node": "node_789",
      "to_node": "node_790",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
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    {
      "from_node": "node_790",
      "to_node": "node_791",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
      "action_type": null,
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    {
      "from_node": "node_791",
      "to_node": "node_792",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005462)",
      "action_type": null,
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    {
      "from_node": "node_792",
      "to_node": "node_793",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_794",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_796",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.316)",
      "action_type": null,
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    {
      "from_node": "node_796",
      "to_node": "node_797",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)",
      "action_type": null,
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    {
      "from_node": "node_797",
      "to_node": "node_798",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.445)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_798",
      "to_node": "node_799",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.610)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_799",
      "to_node": "node_800",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    {
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      "to_node": "node_802",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.502)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_803",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_803",
      "to_node": "node_804",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
      "action_type": null,
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    },
    {
      "from_node": "node_804",
      "to_node": "node_805",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
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    {
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      "to_node": "node_806",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.435)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_807",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_809",
      "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,
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    {
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      "to_node": "node_810",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.258)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_810",
      "to_node": "node_811",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004754)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_811",
      "to_node": "node_812",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001425)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_813",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_814",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
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      "from_node": "node_814",
      "to_node": "node_815",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_817",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)",
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      "from_node": "node_817",
      "to_node": "node_818",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.590)",
      "action_type": null,
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    {
      "from_node": "node_818",
      "to_node": "node_819",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)",
      "action_type": null,
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    {
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      "to_node": "node_820",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.616)",
      "action_type": null,
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    {
      "from_node": "node_820",
      "to_node": "node_821",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_822",
      "to_node": "node_823",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.316)",
      "action_type": null,
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      "from_node": "node_823",
      "to_node": "node_824",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)",
      "action_type": null,
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    {
      "from_node": "node_824",
      "to_node": "node_825",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.377)",
      "action_type": null,
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    {
      "from_node": "node_825",
      "to_node": "node_826",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_827",
      "to_node": "node_828",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
      "action_type": null,
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    {
      "from_node": "node_828",
      "to_node": "node_829",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.548)",
      "action_type": null,
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    {
      "from_node": "node_829",
      "to_node": "node_830",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.506)",
      "action_type": null,
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    {
      "from_node": "node_830",
      "to_node": "node_831",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_832",
      "to_node": "node_833",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
      "action_type": null,
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    {
      "from_node": "node_833",
      "to_node": "node_834",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.473)",
      "action_type": null,
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    {
      "from_node": "node_834",
      "to_node": "node_835",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006111)",
      "action_type": null,
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    {
      "from_node": "node_835",
      "to_node": "node_836",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_836",
      "to_node": "node_837",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)",
      "action_type": null,
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    {
      "from_node": "node_837",
      "to_node": "node_838",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_839",
      "to_node": "node_840",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001612)",
      "action_type": null,
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    {
      "from_node": "node_840",
      "to_node": "node_841",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006142)",
      "action_type": null,
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    {
      "from_node": "node_841",
      "to_node": "node_842",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005377)",
      "action_type": null,
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    {
      "from_node": "node_842",
      "to_node": "node_843",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)",
      "action_type": null,
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    {
      "from_node": "node_843",
      "to_node": "node_844",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
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    {
      "from_node": "node_844",
      "to_node": "node_845",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.513)",
      "action_type": null,
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    {
      "from_node": "node_845",
      "to_node": "node_846",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.490)",
      "action_type": null,
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    {
      "from_node": "node_846",
      "to_node": "node_847",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_848",
      "to_node": "node_849",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003653)",
      "action_type": null,
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    {
      "from_node": "node_849",
      "to_node": "node_850",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
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    {
      "from_node": "node_850",
      "to_node": "node_851",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001238)",
      "action_type": null,
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    {
      "from_node": "node_851",
      "to_node": "node_852",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.305)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_852",
      "to_node": "node_853",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_853",
      "to_node": "node_854",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
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    {
      "from_node": "node_854",
      "to_node": "node_855",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_856",
      "to_node": "node_857",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
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    {
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      "to_node": "node_858",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.222)",
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    {
      "from_node": "node_858",
      "to_node": "node_859",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_859",
      "to_node": "node_860",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
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    {
      "from_node": "node_860",
      "to_node": "node_861",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_861",
      "to_node": "node_862",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_864",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.393)",
      "action_type": null,
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    {
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      "to_node": "node_865",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.185)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_865",
      "to_node": "node_866",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004638)",
      "action_type": null,
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    {
      "from_node": "node_866",
      "to_node": "node_867",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_868",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_869",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.484)",
      "action_type": null,
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      "old_value": null,
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    {
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      "to_node": "node_870",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.441)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_870",
      "to_node": "node_871",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    {
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      "to_node": "node_873",
      "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
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    {
      "from_node": "node_873",
      "to_node": "node_874",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.245)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
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      "to_node": "node_875",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 66%",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.238)",
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      "from_node": "node_876",
      "to_node": "node_877",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_879",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)",
      "action_type": null,
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      "from_node": "node_879",
      "to_node": "node_880",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001285)",
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    {
      "from_node": "node_880",
      "to_node": "node_881",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.316)",
      "action_type": null,
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      "to_node": "node_882",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.359)",
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      "to_node": "node_883",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.282)",
      "action_type": null,
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      "to_node": "node_884",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
      "action_type": null,
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    {
      "from_node": "node_884",
      "to_node": "node_885",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_887",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.218)",
      "action_type": null,
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    {
      "from_node": "node_887",
      "to_node": "node_888",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003259)",
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    {
      "from_node": "node_888",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.536)",
      "action_type": null,
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    {
      "from_node": "node_889",
      "to_node": "node_890",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005444)",
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    {
      "from_node": "node_890",
      "to_node": "node_891",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.321)",
      "action_type": null,
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    {
      "from_node": "node_891",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
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    {
      "from_node": "node_892",
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.497)",
      "action_type": null,
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    {
      "from_node": "node_893",
      "to_node": "node_894",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_895",
      "to_node": "node_896",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.289)",
      "action_type": null,
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    {
      "from_node": "node_896",
      "to_node": "node_897",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
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    {
      "from_node": "node_897",
      "to_node": "node_898",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "action_type": null,
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    {
      "from_node": "node_898",
      "to_node": "node_899",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.383)",
      "action_type": null,
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    {
      "from_node": "node_899",
      "to_node": "node_900",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.230)",
      "action_type": null,
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    {
      "from_node": "node_900",
      "to_node": "node_901",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_902",
      "to_node": "node_903",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)",
      "action_type": null,
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    {
      "from_node": "node_903",
      "to_node": "node_904",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
      "action_type": null,
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    {
      "from_node": "node_904",
      "to_node": "node_905",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
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    {
      "from_node": "node_905",
      "to_node": "node_906",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.585)",
      "action_type": null,
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    {
      "from_node": "node_906",
      "to_node": "node_907",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_908",
      "to_node": "node_909",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.416)",
      "action_type": null,
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    {
      "from_node": "node_910",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006313)",
      "action_type": null,
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    {
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      "to_node": "node_912",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.206)",
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    {
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      "to_node": "node_913",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.456)",
      "action_type": null,
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    {
      "from_node": "node_913",
      "to_node": "node_914",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
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    {
      "from_node": "node_914",
      "to_node": "node_915",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_916",
      "to_node": "node_917",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002178)",
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    {
      "from_node": "node_917",
      "to_node": "node_918",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003823)",
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    {
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      "to_node": "node_919",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
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    {
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      "to_node": "node_920",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)",
      "action_type": null,
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    {
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      "to_node": "node_921",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_922",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    {
      "from_node": "node_922",
      "to_node": "node_923",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.479)",
      "action_type": null,
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      "to_node": "node_926",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.247)",
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      "to_node": "node_927",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.323)",
      "action_type": null,
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      "to_node": "node_928",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)",
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      "scale_factor": null
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    {
      "from_node": "node_928",
      "to_node": "node_929",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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      "to_node": "node_930",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.225)",
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      "target_member": null,
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    {
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      "to_node": "node_931",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.522)",
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    {
      "from_node": "node_931",
      "to_node": "node_932",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_934",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.524)",
      "action_type": null,
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      "parameter_name": null,
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      "scale_factor": null
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    {
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      "to_node": "node_935",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
      "action_type": null,
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      "reasoning": "Add member connecting joints 3 and 6",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.481)",
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      "reasoning": "Increase 6 thickness by 44%",
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      "reasoning": "Increase 1 thickness by 35%",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "to_node": "node_941",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_943",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 33%",
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      "grammar_action": "SCALE_PARAM(5, thickness, 1.330)",
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      "reasoning": "Increase 12 thickness by 53%",
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      "grammar_action": "SCALE_PARAM(12, thickness, 1.531)",
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      "from_node": "node_946",
      "to_node": "node_947",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
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      "to_node": "node_948",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.466)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 37%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
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      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005267)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.335)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004669)",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.225)",
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      "to_node": "node_961",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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      "to_node": "node_962",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.616)",
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    {
      "from_node": "node_962",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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    {
      "from_node": "node_963",
      "to_node": "node_964",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_966",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.290)",
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    {
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      "to_node": "node_968",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005590)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
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      "to_node": "node_970",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.259)",
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    {
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      "to_node": "node_971",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_973",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
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      "from_node": "node_973",
      "to_node": "node_974",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 26%",
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      "grammar_action": "SCALE_PARAM(7, thickness, 1.263)",
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    {
      "from_node": "node_974",
      "to_node": "node_975",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
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    {
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      "to_node": "node_976",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_978",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.621)",
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      "to_node": "node_979",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.481)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.325)",
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      "to_node": "node_981",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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      "to_node": "node_982",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.355)",
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      "to_node": "node_983",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.399)",
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      "to_node": "node_984",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.425)",
      "action_type": null,
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    {
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      "to_node": "node_985",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.269)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
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      "to_node": "node_989",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
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      "to_node": "node_990",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_992",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.003683)",
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    {
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      "to_node": "node_993",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
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      "to_node": "node_994",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.414)",
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    {
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      "to_node": "node_995",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.353)",
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      "target_member": null,
      "parameter_name": null,
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      "reasoning": "Increase all_members thickness by 30%",
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      "reasoning": "Increase 1 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.244)",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
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      "from_node": "node_1010",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 58%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 19%",
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      "grammar_action": "SCALE_PARAM(12, thickness, 1.188)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.277)",
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      "reasoning": "Increase 1 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.495)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)",
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    {
      "from_node": "node_1019",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_1022",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.256)",
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      "from_node": "node_1022",
      "to_node": "node_1023",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
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    {
      "from_node": "node_1023",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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    {
      "from_node": "node_1024",
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      "edge_type": "modification",
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      "from_node": "node_1026",
      "to_node": "node_1027",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005374)",
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      "to_node": "node_1028",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
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      "to_node": "node_1029",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
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      "to_node": "node_1031",
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      "reasoning": "Add member connecting joints 2 and 5",
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    {
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      "to_node": "node_1032",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1034",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
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      "to_node": "node_1035",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.497)",
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    {
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      "to_node": "node_1038",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "action_type": null,
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      "to_node": "node_1040",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
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      "to_node": "node_1041",
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      "reasoning": "Increase 5 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.464)",
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      "to_node": "node_1042",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.263)",
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    {
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      "to_node": "node_1043",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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      "to_node": "node_1045",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
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      "to_node": "node_1046",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.190)",
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      "to_node": "node_1047",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
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      "to_node": "node_1048",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.502)",
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      "to_node": "node_1049",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.639)",
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    {
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      "to_node": "node_1050",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
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      "to_node": "node_1051",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.460)",
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      "to_node": "node_1052",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "SCALE_PARAM(2, thickness, 1.634)",
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      "to_node": "node_1055",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
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      "to_node": "node_1056",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
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      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
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      "reasoning": "Increase 4 thickness by 19%",
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      "edge_type": "modification",
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      "to_node": "node_1066",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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      "reasoning": "Increase 10 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.242)",
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      "to_node": "node_1074",
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      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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    {
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      "to_node": "node_1078",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
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    {
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.326)",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.232)",
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      "to_node": "node_1084",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004936)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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      "to_node": "node_1086",
      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.560)",
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      "to_node": "node_1089",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)",
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      "to_node": "node_1090",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
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      "to_node": "node_1091",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)",
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      "from_node": "node_1091",
      "to_node": "node_1092",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004686)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.330)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1096",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005674)",
      "action_type": null,
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    {
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      "to_node": "node_1097",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004594)",
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      "edge_type": "modification",
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      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004968)",
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      "to_node": "node_1099",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003354)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
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    {
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      "to_node": "node_1105",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.529)",
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      "reasoning": "Increase 11 thickness by 51%",
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      "grammar_action": "SCALE_PARAM(11, thickness, 1.511)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
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      "to_node": "node_1114",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
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      "to_node": "node_1115",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1117",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.553)",
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    {
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      "to_node": "node_1118",
      "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,
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      "scale_factor": null
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      "to_node": "node_1119",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1119",
      "to_node": "node_1120",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006465)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1120",
      "to_node": "node_1121",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.490)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1121",
      "to_node": "node_1122",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1122",
      "to_node": "node_1123",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1123",
      "to_node": "node_1124",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1125",
      "to_node": "node_1126",
      "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_1126",
      "to_node": "node_1127",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1127",
      "to_node": "node_1128",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.292)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1128",
      "to_node": "node_1129",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1129",
      "to_node": "node_1130",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_1130",
      "to_node": "node_1131",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.328)",
      "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 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1132",
      "to_node": "node_1133",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1134",
      "to_node": "node_1135",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003357)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1135",
      "to_node": "node_1136",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.427)",
      "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": "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_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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1139",
      "to_node": "node_1140",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1140",
      "to_node": "node_1141",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1141",
      "to_node": "node_1142",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1142",
      "to_node": "node_1143",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1143",
      "to_node": "node_1144",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.546)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1144",
      "to_node": "node_1145",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1146",
      "to_node": "node_1147",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.481)",
      "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 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004165)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1148",
      "to_node": "node_1149",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1149",
      "to_node": "node_1150",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1150",
      "to_node": "node_1151",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1151",
      "to_node": "node_1152",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.412)",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1154",
      "to_node": "node_1155",
      "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_1155",
      "to_node": "node_1156",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1156",
      "to_node": "node_1157",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1157",
      "to_node": "node_1158",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.385)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1158",
      "to_node": "node_1159",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1160",
      "to_node": "node_1161",
      "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_1161",
      "to_node": "node_1162",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005495)",
      "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 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_1163",
      "to_node": "node_1164",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1164",
      "to_node": "node_1165",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.404)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1165",
      "to_node": "node_1166",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005025)",
      "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 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004493)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1169",
      "to_node": "node_1170",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1170",
      "to_node": "node_1171",
      "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_1171",
      "to_node": "node_1172",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "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": "Increase 7 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.305)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002563)",
      "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": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
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      "to_node": "node_1178",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001705)",
      "action_type": null,
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    {
      "from_node": "node_1178",
      "to_node": "node_1179",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.248)",
      "action_type": null,
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    {
      "from_node": "node_1179",
      "to_node": "node_1180",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)",
      "action_type": null,
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    {
      "from_node": "node_1180",
      "to_node": "node_1181",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1181",
      "to_node": "node_1182",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1183",
      "to_node": "node_1184",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1184",
      "to_node": "node_1185",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    },
    {
      "from_node": "node_1185",
      "to_node": "node_1186",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.520)",
      "action_type": null,
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    },
    {
      "from_node": "node_1186",
      "to_node": "node_1187",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
      "action_type": null,
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    {
      "from_node": "node_1187",
      "to_node": "node_1188",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1189",
      "to_node": "node_1190",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
      "action_type": null,
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    },
    {
      "from_node": "node_1190",
      "to_node": "node_1191",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "action_type": null,
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    {
      "from_node": "node_1191",
      "to_node": "node_1192",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
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    },
    {
      "from_node": "node_1192",
      "to_node": "node_1193",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1194",
      "to_node": "node_1195",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001723)",
      "action_type": null,
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    {
      "from_node": "node_1195",
      "to_node": "node_1196",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.410)",
      "action_type": null,
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    {
      "from_node": "node_1196",
      "to_node": "node_1197",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005749)",
      "action_type": null,
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    },
    {
      "from_node": "node_1197",
      "to_node": "node_1198",
      "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,
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    {
      "from_node": "node_1198",
      "to_node": "node_1199",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1200",
      "to_node": "node_1201",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005485)",
      "action_type": null,
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    {
      "from_node": "node_1201",
      "to_node": "node_1202",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.451)",
      "action_type": null,
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      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1202",
      "to_node": "node_1203",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1203",
      "to_node": "node_1204",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1204",
      "to_node": "node_1205",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1206",
      "to_node": "node_1207",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001235)",
      "action_type": null,
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    {
      "from_node": "node_1207",
      "to_node": "node_1208",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.458)",
      "action_type": null,
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    },
    {
      "from_node": "node_1208",
      "to_node": "node_1209",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.002683)",
      "action_type": null,
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    },
    {
      "from_node": "node_1209",
      "to_node": "node_1210",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1210",
      "to_node": "node_1211",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
      "action_type": null,
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    {
      "from_node": "node_1211",
      "to_node": "node_1212",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.420)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1212",
      "to_node": "node_1213",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1213",
      "to_node": "node_1214",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1215",
      "to_node": "node_1216",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1216",
      "to_node": "node_1217",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1217",
      "to_node": "node_1218",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1218",
      "to_node": "node_1219",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.504)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1219",
      "to_node": "node_1220",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.253)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1220",
      "to_node": "node_1221",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1222",
      "to_node": "node_1223",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003642)",
      "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 7 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "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, 0.042785, 0.005525)",
      "action_type": null,
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    },
    {
      "from_node": "node_1225",
      "to_node": "node_1226",
      "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,
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      "scale_factor": null
    },
    {
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      "to_node": "node_1227",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)",
      "action_type": null,
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    {
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      "to_node": "node_1228",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.435)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_1229",
      "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,
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      "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,
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    },
    {
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      "to_node": "node_1232",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.499)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1232",
      "to_node": "node_1233",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
      "action_type": null,
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      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1234",
      "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_1234",
      "to_node": "node_1235",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1235",
      "to_node": "node_1236",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.560)",
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      "to_node": "node_1238",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
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      "to_node": "node_1239",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1241",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.658)",
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      "edge_type": "modification",
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      "reasoning": "Increase 5 thickness by 54%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "from_node": "node_1246",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
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    {
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      "to_node": "node_1248",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004977)",
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    {
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      "to_node": "node_1249",
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      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.389)",
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      "to_node": "node_1251",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
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      "to_node": "node_1253",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase 7 thickness by 58%",
      "metadata": null,
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      "metadata": null,
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    {
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      "to_node": "node_1257",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
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    {
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      "to_node": "node_1258",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1260",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.543)",
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      "to_node": "node_1261",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.186)",
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      "to_node": "node_1262",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
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    {
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      "to_node": "node_1263",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_1265",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.227)",
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    {
      "from_node": "node_1265",
      "to_node": "node_1266",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007074)",
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    {
      "from_node": "node_1266",
      "to_node": "node_1267",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005895)",
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      "to_node": "node_1268",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)",
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      "reasoning": "Increase 15 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.200)",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.546)",
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    {
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      "to_node": "node_1271",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.393)",
      "action_type": null,
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      "to_node": "node_1274",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.183)",
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    {
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      "to_node": "node_1275",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)",
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    {
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      "to_node": "node_1276",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.211)",
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    {
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      "to_node": "node_1277",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_1279",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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      "to_node": "node_1280",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.414)",
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      "to_node": "node_1281",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.550)",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.196)",
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    {
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      "to_node": "node_1283",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1285",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.562)",
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    {
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      "to_node": "node_1286",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004833)",
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      "to_node": "node_1287",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
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    {
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      "to_node": "node_1288",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_1290",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
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      "to_node": "node_1291",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
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      "to_node": "node_1292",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.290)",
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      "to_node": "node_1293",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1295",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)",
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      "to_node": "node_1296",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.486)",
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    {
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      "to_node": "node_1297",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005471)",
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      "to_node": "node_1298",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
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      "from_node": "node_1298",
      "to_node": "node_1299",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1300",
      "to_node": "node_1301",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004474)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1301",
      "to_node": "node_1302",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.621)",
      "action_type": null,
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      "from_node": "node_1302",
      "to_node": "node_1303",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004005)",
      "action_type": null,
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      "from_node": "node_1303",
      "to_node": "node_1304",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.653)",
      "action_type": null,
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    {
      "from_node": "node_1304",
      "to_node": "node_1305",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
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    {
      "from_node": "node_1305",
      "to_node": "node_1306",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.590)",
      "action_type": null,
      "target_member": null,
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      "from_node": "node_1306",
      "to_node": "node_1307",
      "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,
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    {
      "from_node": "node_1307",
      "to_node": "node_1308",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1309",
      "to_node": "node_1310",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1310",
      "to_node": "node_1311",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004834)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1311",
      "to_node": "node_1312",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005140)",
      "action_type": null,
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    {
      "from_node": "node_1312",
      "to_node": "node_1313",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.488)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1313",
      "to_node": "node_1314",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1314",
      "to_node": "node_1315",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1315",
      "to_node": "node_1316",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1317",
      "to_node": "node_1318",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.555)",
      "action_type": null,
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    {
      "from_node": "node_1318",
      "to_node": "node_1319",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.565)",
      "action_type": null,
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    {
      "from_node": "node_1319",
      "to_node": "node_1320",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003213)",
      "action_type": null,
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    {
      "from_node": "node_1320",
      "to_node": "node_1321",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.488)",
      "action_type": null,
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    {
      "from_node": "node_1321",
      "to_node": "node_1322",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.264)",
      "action_type": null,
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    {
      "from_node": "node_1322",
      "to_node": "node_1323",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    },
    {
      "from_node": "node_1323",
      "to_node": "node_1324",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
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    {
      "from_node": "node_1324",
      "to_node": "node_1325",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1326",
      "to_node": "node_1327",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1327",
      "to_node": "node_1328",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005496)",
      "action_type": null,
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    {
      "from_node": "node_1328",
      "to_node": "node_1329",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.227)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1329",
      "to_node": "node_1330",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007013)",
      "action_type": null,
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    {
      "from_node": "node_1330",
      "to_node": "node_1331",
      "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,
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    {
      "from_node": "node_1331",
      "to_node": "node_1332",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.610)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1332",
      "to_node": "node_1333",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1334",
      "to_node": "node_1335",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1335",
      "to_node": "node_1336",
      "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,
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    },
    {
      "from_node": "node_1336",
      "to_node": "node_1337",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.572)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1337",
      "to_node": "node_1338",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1339",
      "to_node": "node_1340",
      "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,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1340",
      "to_node": "node_1341",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004667)",
      "action_type": null,
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    },
    {
      "from_node": "node_1341",
      "to_node": "node_1342",
      "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,
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    {
      "from_node": "node_1342",
      "to_node": "node_1343",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1343",
      "to_node": "node_1344",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1344",
      "to_node": "node_1345",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1346",
      "to_node": "node_1347",
      "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,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1347",
      "to_node": "node_1348",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_1348",
      "to_node": "node_1349",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1349",
      "to_node": "node_1350",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_1352",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1352",
      "to_node": "node_1353",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003226)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_1354",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.300)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_1355",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
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      "new_value": null,
      "scale_factor": null
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    {
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      "to_node": "node_1356",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.205)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "new_value": null,
      "scale_factor": null
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    {
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      "to_node": "node_1359",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.406)",
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      "from_node": "node_1359",
      "to_node": "node_1360",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001300)",
      "action_type": null,
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      "to_node": "node_1361",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
      "action_type": null,
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    {
      "from_node": "node_1361",
      "to_node": "node_1362",
      "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,
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    {
      "from_node": "node_1362",
      "to_node": "node_1363",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_1364",
      "to_node": "node_1365",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.410)",
      "action_type": null,
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    {
      "from_node": "node_1365",
      "to_node": "node_1366",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.618)",
      "action_type": null,
      "target_member": null,
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      "from_node": "node_1366",
      "to_node": "node_1367",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.403)",
      "action_type": null,
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    {
      "from_node": "node_1367",
      "to_node": "node_1368",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1368",
      "to_node": "node_1369",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.276)",
      "action_type": null,
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    {
      "from_node": "node_1369",
      "to_node": "node_1370",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.558)",
      "action_type": null,
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    {
      "from_node": "node_1370",
      "to_node": "node_1371",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.506)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1371",
      "to_node": "node_1372",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1373",
      "to_node": "node_1374",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.253)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1374",
      "to_node": "node_1375",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.616)",
      "action_type": null,
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    {
      "from_node": "node_1375",
      "to_node": "node_1376",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
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    {
      "from_node": "node_1376",
      "to_node": "node_1377",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.259)",
      "action_type": null,
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    {
      "from_node": "node_1377",
      "to_node": "node_1378",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.543)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1378",
      "to_node": "node_1379",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.258)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1379",
      "to_node": "node_1380",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1381",
      "to_node": "node_1382",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.391)",
      "action_type": null,
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    {
      "from_node": "node_1382",
      "to_node": "node_1383",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.460)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1383",
      "to_node": "node_1384",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.287)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1384",
      "to_node": "node_1385",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.304)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1385",
      "to_node": "node_1386",
      "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,
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    {
      "from_node": "node_1386",
      "to_node": "node_1387",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "action_type": null,
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    },
    {
      "from_node": "node_1387",
      "to_node": "node_1388",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    {
      "from_node": "node_1388",
      "to_node": "node_1389",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_1391",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.235)",
      "action_type": null,
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    {
      "from_node": "node_1391",
      "to_node": "node_1392",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005334)",
      "action_type": null,
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    {
      "from_node": "node_1392",
      "to_node": "node_1393",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1393",
      "to_node": "node_1394",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1395",
      "to_node": "node_1396",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.282)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1396",
      "to_node": "node_1397",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1397",
      "to_node": "node_1398",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1398",
      "to_node": "node_1399",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_1400",
      "to_node": "node_1401",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005428)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1401",
      "to_node": "node_1402",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1402",
      "to_node": "node_1403",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1403",
      "to_node": "node_1404",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.460)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_1405",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1405",
      "to_node": "node_1406",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.393)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_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
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    {
      "from_node": "node_1408",
      "to_node": "node_1409",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.186)",
      "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": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005563)",
      "action_type": null,
      "target_member": null,
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      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_1410",
      "to_node": "node_1411",
      "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
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    {
      "from_node": "node_1411",
      "to_node": "node_1412",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_1414",
      "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
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    {
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      "to_node": "node_1415",
      "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
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    {
      "from_node": "node_1415",
      "to_node": "node_1416",
      "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
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    {
      "from_node": "node_1416",
      "to_node": "node_1417",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
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      "to_node": "node_1418",
      "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_1418",
      "to_node": "node_1419",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.346)",
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      "to_node": "node_1420",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1422",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
      "action_type": null,
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      "parameter_name": null,
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    {
      "from_node": "node_1422",
      "to_node": "node_1423",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004794)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1423",
      "to_node": "node_1424",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.002727)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1424",
      "to_node": "node_1425",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1425",
      "to_node": "node_1426",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
      "action_type": null,
      "target_member": null,
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      "from_node": "node_1426",
      "to_node": "node_1427",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1427",
      "to_node": "node_1428",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1428",
      "to_node": "node_1429",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1430",
      "to_node": "node_1431",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.437)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1431",
      "to_node": "node_1432",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.374)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1432",
      "to_node": "node_1433",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.346)",
      "action_type": null,
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    {
      "from_node": "node_1433",
      "to_node": "node_1434",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1435",
      "to_node": "node_1436",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004326)",
      "action_type": null,
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    },
    {
      "from_node": "node_1436",
      "to_node": "node_1437",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003868)",
      "action_type": null,
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    {
      "from_node": "node_1437",
      "to_node": "node_1438",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1438",
      "to_node": "node_1439",
      "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,
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    },
    {
      "from_node": "node_1439",
      "to_node": "node_1440",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1440",
      "to_node": "node_1441",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1441",
      "to_node": "node_1442",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1442",
      "to_node": "node_1443",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1444",
      "to_node": "node_1445",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007076)",
      "action_type": null,
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    },
    {
      "from_node": "node_1445",
      "to_node": "node_1446",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.253)",
      "action_type": null,
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    {
      "from_node": "node_1446",
      "to_node": "node_1447",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)",
      "action_type": null,
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    {
      "from_node": "node_1447",
      "to_node": "node_1448",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1449",
      "to_node": "node_1450",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1450",
      "to_node": "node_1451",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
      "action_type": null,
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    },
    {
      "from_node": "node_1451",
      "to_node": "node_1452",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006263)",
      "action_type": null,
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    },
    {
      "from_node": "node_1452",
      "to_node": "node_1453",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
      "action_type": null,
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      "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, 0.024380, 0.004063)",
      "action_type": null,
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    },
    {
      "from_node": "node_1454",
      "to_node": "node_1455",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
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    {
      "from_node": "node_1455",
      "to_node": "node_1456",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.493)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1456",
      "to_node": "node_1457",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1458",
      "to_node": "node_1459",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004818)",
      "action_type": null,
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    {
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      "to_node": "node_1460",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.272)",
      "action_type": null,
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    {
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      "to_node": "node_1461",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.565)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1461",
      "to_node": "node_1462",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_1462",
      "to_node": "node_1463",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1463",
      "to_node": "node_1464",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1464",
      "to_node": "node_1465",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_1467",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)",
      "action_type": null,
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    {
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      "to_node": "node_1468",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1469",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1469",
      "to_node": "node_1470",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1471",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1473",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001807)",
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    {
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      "to_node": "node_1474",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.608)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1474",
      "to_node": "node_1475",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003436)",
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    {
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      "to_node": "node_1476",
      "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
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    {
      "from_node": "node_1476",
      "to_node": "node_1477",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_1479",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002934)",
      "action_type": null,
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      "to_node": "node_1480",
      "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,
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    {
      "from_node": "node_1480",
      "to_node": "node_1481",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1481",
      "to_node": "node_1482",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1482",
      "to_node": "node_1483",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.582)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_1483",
      "to_node": "node_1484",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1484",
      "to_node": "node_1485",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1486",
      "to_node": "node_1487",
      "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_1487",
      "to_node": "node_1488",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003978)",
      "action_type": null,
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    },
    {
      "from_node": "node_1488",
      "to_node": "node_1489",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003653)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1489",
      "to_node": "node_1490",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1490",
      "to_node": "node_1491",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005798)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1491",
      "to_node": "node_1492",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1492",
      "to_node": "node_1493",
      "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,
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    {
      "from_node": "node_1493",
      "to_node": "node_1494",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1495",
      "to_node": "node_1496",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007080)",
      "action_type": null,
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    },
    {
      "from_node": "node_1496",
      "to_node": "node_1497",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005900)",
      "action_type": null,
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    {
      "from_node": "node_1497",
      "to_node": "node_1498",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.603)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1498",
      "to_node": "node_1499",
      "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,
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    },
    {
      "from_node": "node_1499",
      "to_node": "node_1500",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001713)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1500",
      "to_node": "node_1501",
      "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,
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    },
    {
      "from_node": "node_1501",
      "to_node": "node_1502",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.567)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1502",
      "to_node": "node_1503",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1504",
      "to_node": "node_1505",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1505",
      "to_node": "node_1506",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
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    },
    {
      "from_node": "node_1506",
      "to_node": "node_1507",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.634)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1507",
      "to_node": "node_1508",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1509",
      "to_node": "node_1510",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1510",
      "to_node": "node_1511",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.475)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1511",
      "to_node": "node_1512",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.253)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1514",
      "to_node": "node_1515",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004308)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1515",
      "to_node": "node_1516",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1516",
      "to_node": "node_1517",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1517",
      "to_node": "node_1518",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006316)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1518",
      "to_node": "node_1519",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.332)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1519",
      "to_node": "node_1520",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003151)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1520",
      "to_node": "node_1521",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1521",
      "to_node": "node_1522",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1523",
      "to_node": "node_1524",
      "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,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1524",
      "to_node": "node_1525",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004069)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1525",
      "to_node": "node_1526",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.271)",
      "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 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_1527",
      "to_node": "node_1528",
      "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_1528",
      "to_node": "node_1529",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1529",
      "to_node": "node_1530",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.493)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1532",
      "to_node": "node_1533",
      "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_1533",
      "to_node": "node_1534",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.477)",
      "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 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_1535",
      "to_node": "node_1536",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1537",
      "to_node": "node_1538",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
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      "to_node": "node_1540",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)",
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      "to_node": "node_1541",
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      "reasoning": "Increase all_members thickness by 27%",
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      "metadata": null,
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      "to_node": "node_1543",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 66%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1547",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
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      "to_node": "node_1548",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)",
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      "to_node": "node_1549",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)",
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      "to_node": "node_1550",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.205)",
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      "from_node": "node_1550",
      "to_node": "node_1551",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005641)",
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      "to_node": "node_1552",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
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      "from_node": "node_1552",
      "to_node": "node_1553",
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      "reasoning": "Optimal solution",
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      "to_node": "node_1555",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
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      "reasoning": "Add member connecting joints 1 and 5",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
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      "reasoning": "Increase all_members thickness by 27%",
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      "to_node": "node_1562",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 48%",
      "metadata": null,
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      "to_node": "node_1563",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
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    {
      "from_node": "node_1563",
      "to_node": "node_1564",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003664)",
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      "reasoning": "Increase 10 thickness by 27%",
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      "to_node": "node_1566",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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      "to_node": "node_1567",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
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      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006504)",
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      "to_node": "node_1568",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)",
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      "to_node": "node_1569",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_1570",
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    {
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      "to_node": "node_1573",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005227)",
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    {
      "from_node": "node_1573",
      "to_node": "node_1574",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006178)",
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    {
      "from_node": "node_1574",
      "to_node": "node_1575",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001750)",
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      "to_node": "node_1576",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
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    {
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      "to_node": "node_1577",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1579",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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      "to_node": "node_1580",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.506)",
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    {
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      "to_node": "node_1581",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.300)",
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      "to_node": "node_1582",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
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    {
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      "to_node": "node_1583",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
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    {
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      "to_node": "node_1584",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001803)",
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      "to_node": "node_1585",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
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    {
      "from_node": "node_1585",
      "to_node": "node_1586",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1588",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.562)",
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      "to_node": "node_1589",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)",
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      "to_node": "node_1590",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.333)",
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    {
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      "to_node": "node_1591",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
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      "to_node": "node_1592",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1594",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.562)",
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    {
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      "to_node": "node_1595",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
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    {
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      "to_node": "node_1596",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.477)",
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      "parameter_name": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1597",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.479)",
      "action_type": null,
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      "from_node": "node_1597",
      "to_node": "node_1598",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.374)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1598",
      "to_node": "node_1599",
      "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,
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    {
      "from_node": "node_1599",
      "to_node": "node_1600",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1600",
      "to_node": "node_1601",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1602",
      "to_node": "node_1603",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1603",
      "to_node": "node_1604",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005354)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1604",
      "to_node": "node_1605",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.541)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    {
      "from_node": "node_1605",
      "to_node": "node_1606",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1606",
      "to_node": "node_1607",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1607",
      "to_node": "node_1608",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1609",
      "to_node": "node_1610",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003617)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1610",
      "to_node": "node_1611",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.631)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1611",
      "to_node": "node_1612",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1612",
      "to_node": "node_1613",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.468)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1613",
      "to_node": "node_1614",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1614",
      "to_node": "node_1615",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004925)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_1615",
      "to_node": "node_1616",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1616",
      "to_node": "node_1617",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1618",
      "to_node": "node_1619",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1619",
      "to_node": "node_1620",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1620",
      "to_node": "node_1621",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1621",
      "to_node": "node_1622",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.447)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1622",
      "to_node": "node_1623",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1623",
      "to_node": "node_1624",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1624",
      "to_node": "node_1625",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1625",
      "to_node": "node_1626",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1627",
      "to_node": "node_1628",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.002676)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1628",
      "to_node": "node_1629",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1629",
      "to_node": "node_1630",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004389)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1630",
      "to_node": "node_1631",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1631",
      "to_node": "node_1632",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1632",
      "to_node": "node_1633",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.529)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1633",
      "to_node": "node_1634",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1635",
      "to_node": "node_1636",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.003561)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_1636",
      "to_node": "node_1637",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.550)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1637",
      "to_node": "node_1638",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1638",
      "to_node": "node_1639",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005575)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1639",
      "to_node": "node_1640",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.279)",
      "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": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006757)",
      "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": "Increase 0 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.215)",
      "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 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006258)",
      "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 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_1646",
      "to_node": "node_1647",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1647",
      "to_node": "node_1648",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.217)",
      "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 0 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.366)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
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      "to_node": "node_1652",
      "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_1652",
      "to_node": "node_1653",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002491)",
      "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": "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_1654",
      "to_node": "node_1655",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)",
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      "to_node": "node_1656",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006069)",
      "action_type": null,
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    {
      "from_node": "node_1656",
      "to_node": "node_1657",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)",
      "action_type": null,
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    {
      "from_node": "node_1657",
      "to_node": "node_1658",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1659",
      "to_node": "node_1660",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005495)",
      "action_type": null,
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    {
      "from_node": "node_1660",
      "to_node": "node_1661",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.555)",
      "action_type": null,
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    {
      "from_node": "node_1661",
      "to_node": "node_1662",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006138)",
      "action_type": null,
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    },
    {
      "from_node": "node_1662",
      "to_node": "node_1663",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001840)",
      "action_type": null,
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    {
      "from_node": "node_1663",
      "to_node": "node_1664",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.460)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1664",
      "to_node": "node_1665",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
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    {
      "from_node": "node_1665",
      "to_node": "node_1666",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1666",
      "to_node": "node_1667",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1668",
      "to_node": "node_1669",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003953)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1669",
      "to_node": "node_1670",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.002546)",
      "action_type": null,
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    {
      "from_node": "node_1670",
      "to_node": "node_1671",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.587)",
      "action_type": null,
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    {
      "from_node": "node_1671",
      "to_node": "node_1672",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
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    {
      "from_node": "node_1672",
      "to_node": "node_1673",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
      "action_type": null,
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    {
      "from_node": "node_1673",
      "to_node": "node_1674",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.618)",
      "action_type": null,
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    {
      "from_node": "node_1674",
      "to_node": "node_1675",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
      "action_type": null,
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    {
      "from_node": "node_1675",
      "to_node": "node_1676",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1677",
      "to_node": "node_1678",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004547)",
      "action_type": null,
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    },
    {
      "from_node": "node_1678",
      "to_node": "node_1679",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
      "action_type": null,
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    },
    {
      "from_node": "node_1679",
      "to_node": "node_1680",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1680",
      "to_node": "node_1681",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1682",
      "to_node": "node_1683",
      "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,
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    },
    {
      "from_node": "node_1683",
      "to_node": "node_1684",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
      "action_type": null,
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    {
      "from_node": "node_1684",
      "to_node": "node_1685",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.217)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1685",
      "to_node": "node_1686",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
      "action_type": null,
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    {
      "from_node": "node_1686",
      "to_node": "node_1687",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.289)",
      "action_type": null,
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    },
    {
      "from_node": "node_1687",
      "to_node": "node_1688",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
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    {
      "from_node": "node_1688",
      "to_node": "node_1689",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.335)",
      "action_type": null,
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    {
      "from_node": "node_1689",
      "to_node": "node_1690",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1691",
      "to_node": "node_1692",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004171)",
      "action_type": null,
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    },
    {
      "from_node": "node_1692",
      "to_node": "node_1693",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004197)",
      "action_type": null,
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    },
    {
      "from_node": "node_1693",
      "to_node": "node_1694",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1694",
      "to_node": "node_1695",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
      "action_type": null,
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    {
      "from_node": "node_1695",
      "to_node": "node_1696",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1696",
      "to_node": "node_1697",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.312)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1697",
      "to_node": "node_1698",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1699",
      "to_node": "node_1700",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.328)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1700",
      "to_node": "node_1701",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1701",
      "to_node": "node_1702",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1702",
      "to_node": "node_1703",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1703",
      "to_node": "node_1704",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    {
      "from_node": "node_1704",
      "to_node": "node_1705",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
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    {
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      "to_node": "node_1706",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.256)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1706",
      "to_node": "node_1707",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_1709",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.517)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
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      "to_node": "node_1710",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.205)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1711",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.529)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005797)",
      "action_type": null,
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      "to_node": "node_1715",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.342)",
      "action_type": null,
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      "from_node": "node_1715",
      "to_node": "node_1716",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    {
      "from_node": "node_1716",
      "to_node": "node_1717",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1717",
      "to_node": "node_1718",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1719",
      "to_node": "node_1720",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1720",
      "to_node": "node_1721",
      "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,
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    {
      "from_node": "node_1721",
      "to_node": "node_1722",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1722",
      "to_node": "node_1723",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004351)",
      "action_type": null,
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    },
    {
      "from_node": "node_1723",
      "to_node": "node_1724",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.623)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1724",
      "to_node": "node_1725",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_1725",
      "to_node": "node_1726",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
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    {
      "from_node": "node_1726",
      "to_node": "node_1727",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1728",
      "to_node": "node_1729",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002997)",
      "action_type": null,
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    {
      "from_node": "node_1729",
      "to_node": "node_1730",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005259)",
      "action_type": null,
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    {
      "from_node": "node_1730",
      "to_node": "node_1731",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004975)",
      "action_type": null,
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    {
      "from_node": "node_1731",
      "to_node": "node_1732",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
      "action_type": null,
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    {
      "from_node": "node_1732",
      "to_node": "node_1733",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
      "action_type": null,
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    {
      "from_node": "node_1733",
      "to_node": "node_1734",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.513)",
      "action_type": null,
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    {
      "from_node": "node_1734",
      "to_node": "node_1735",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1735",
      "to_node": "node_1736",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1737",
      "to_node": "node_1738",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.493)",
      "action_type": null,
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    {
      "from_node": "node_1738",
      "to_node": "node_1739",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.435)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1739",
      "to_node": "node_1740",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1740",
      "to_node": "node_1741",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1741",
      "to_node": "node_1742",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1742",
      "to_node": "node_1743",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1744",
      "to_node": "node_1745",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1745",
      "to_node": "node_1746",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.316)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1746",
      "to_node": "node_1747",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1747",
      "to_node": "node_1748",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.453)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1748",
      "to_node": "node_1749",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1750",
      "to_node": "node_1751",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1751",
      "to_node": "node_1752",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.647)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1752",
      "to_node": "node_1753",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1753",
      "to_node": "node_1754",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005479)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1754",
      "to_node": "node_1755",
      "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,
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      "old_value": null,
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      "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,
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    {
      "from_node": "node_1757",
      "to_node": "node_1758",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1758",
      "to_node": "node_1759",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.376)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1759",
      "to_node": "node_1760",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.435)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1760",
      "to_node": "node_1761",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "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_1763",
      "to_node": "node_1764",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1764",
      "to_node": "node_1765",
      "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
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    {
      "from_node": "node_1765",
      "to_node": "node_1766",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_1768",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1768",
      "to_node": "node_1769",
      "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_1769",
      "to_node": "node_1770",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1770",
      "to_node": "node_1771",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_1771",
      "to_node": "node_1772",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.560)",
      "action_type": null,
      "target_member": null,
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      "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 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004973)",
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      "to_node": "node_1777",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
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      "to_node": "node_1778",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
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      "to_node": "node_1779",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.225)",
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      "to_node": "node_1780",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1782",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
      "action_type": null,
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      "to_node": "node_1783",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)",
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    {
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      "to_node": "node_1784",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
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      "to_node": "node_1785",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.567)",
      "action_type": null,
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      "to_node": "node_1786",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.221)",
      "action_type": null,
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      "to_node": "node_1787",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
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    {
      "from_node": "node_1787",
      "to_node": "node_1788",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.486)",
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    {
      "from_node": "node_1788",
      "to_node": "node_1789",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1790",
      "to_node": "node_1791",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003892)",
      "action_type": null,
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    {
      "from_node": "node_1791",
      "to_node": "node_1792",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001794)",
      "action_type": null,
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    {
      "from_node": "node_1792",
      "to_node": "node_1793",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006838)",
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    {
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      "to_node": "node_1794",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
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      "to_node": "node_1795",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.538)",
      "action_type": null,
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    {
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      "to_node": "node_1796",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1798",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.529)",
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    {
      "from_node": "node_1798",
      "to_node": "node_1799",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005596)",
      "action_type": null,
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    {
      "from_node": "node_1799",
      "to_node": "node_1800",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001585)",
      "action_type": null,
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    {
      "from_node": "node_1800",
      "to_node": "node_1801",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.309)",
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    {
      "from_node": "node_1801",
      "to_node": "node_1802",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
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    {
      "from_node": "node_1802",
      "to_node": "node_1803",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.179)",
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    {
      "from_node": "node_1803",
      "to_node": "node_1804",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1806",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004947)",
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      "to_node": "node_1807",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
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    {
      "from_node": "node_1807",
      "to_node": "node_1808",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
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      "to_node": "node_1809",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.220)",
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    {
      "from_node": "node_1809",
      "to_node": "node_1810",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1811",
      "to_node": "node_1812",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005099)",
      "action_type": null,
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    {
      "from_node": "node_1812",
      "to_node": "node_1813",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004979)",
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    {
      "from_node": "node_1813",
      "to_node": "node_1814",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001707)",
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    {
      "from_node": "node_1814",
      "to_node": "node_1815",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005388)",
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    {
      "from_node": "node_1815",
      "to_node": "node_1816",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006026)",
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    {
      "from_node": "node_1816",
      "to_node": "node_1817",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
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    {
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      "to_node": "node_1818",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1820",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)",
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      "to_node": "node_1821",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.475)",
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    {
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      "to_node": "node_1822",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.328)",
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    {
      "from_node": "node_1822",
      "to_node": "node_1823",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005760)",
      "action_type": null,
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      "to_node": "node_1824",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.208)",
      "action_type": null,
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    {
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      "to_node": "node_1825",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
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    {
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      "to_node": "node_1826",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
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    {
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      "to_node": "node_1827",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_1829",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006621)",
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    {
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      "to_node": "node_1830",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003566)",
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    {
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      "to_node": "node_1831",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.284)",
      "action_type": null,
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    {
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      "to_node": "node_1832",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005602)",
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      "scale_factor": null
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    {
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      "to_node": "node_1833",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
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      "reasoning": "Optimal solution",
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      "to_node": "node_1836",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
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      "reasoning": "Increase 11 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.664)",
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      "to_node": "node_1838",
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      "reasoning": "Increase 6 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.321)",
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      "to_node": "node_1839",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
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    {
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      "to_node": "node_1840",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004490)",
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    {
      "from_node": "node_1840",
      "to_node": "node_1841",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.502)",
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    {
      "from_node": "node_1841",
      "to_node": "node_1842",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_1843",
      "to_node": "node_1844",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.316)",
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      "from_node": "node_1844",
      "to_node": "node_1845",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
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      "to_node": "node_1846",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
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    {
      "from_node": "node_1847",
      "to_node": "node_1848",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1850",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
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      "to_node": "node_1851",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.305)",
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      "to_node": "node_1852",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
      "action_type": null,
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      "to_node": "node_1853",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)",
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    {
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      "to_node": "node_1854",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1856",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.460)",
      "action_type": null,
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    {
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      "to_node": "node_1857",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.575)",
      "action_type": null,
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    {
      "from_node": "node_1857",
      "to_node": "node_1858",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005634)",
      "action_type": null,
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    {
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      "to_node": "node_1859",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.229)",
      "action_type": null,
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    {
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      "to_node": "node_1860",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.256)",
      "action_type": null,
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    {
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      "to_node": "node_1861",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
      "action_type": null,
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    {
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      "to_node": "node_1862",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.383)",
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    {
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      "to_node": "node_1863",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_1864",
      "to_node": "node_1865",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
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    {
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      "to_node": "node_1866",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.642)",
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    {
      "from_node": "node_1866",
      "to_node": "node_1867",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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      "to_node": "node_1868",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.597)",
      "action_type": null,
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    {
      "from_node": "node_1868",
      "to_node": "node_1869",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1871",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.401)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.508)",
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    {
      "from_node": "node_1872",
      "to_node": "node_1873",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
      "action_type": null,
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    {
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      "to_node": "node_1874",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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    {
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      "to_node": "node_1875",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.541)",
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    {
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      "to_node": "node_1876",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1877",
      "to_node": "node_1878",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.002222)",
      "action_type": null,
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      "to_node": "node_1879",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
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    {
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      "to_node": "node_1880",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)",
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      "to_node": "node_1881",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
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      "to_node": "node_1882",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
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      "to_node": "node_1883",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
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      "to_node": "node_1884",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
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      "to_node": "node_1885",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1887",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)",
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      "to_node": "node_1888",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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      "to_node": "node_1889",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.242)",
      "action_type": null,
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    {
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      "to_node": "node_1890",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005647)",
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      "to_node": "node_1891",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.337)",
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    {
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      "to_node": "node_1892",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1893",
      "to_node": "node_1894",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004615)",
      "action_type": null,
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    {
      "from_node": "node_1894",
      "to_node": "node_1895",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
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    {
      "from_node": "node_1895",
      "to_node": "node_1896",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.634)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1896",
      "to_node": "node_1897",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1898",
      "to_node": "node_1899",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1899",
      "to_node": "node_1900",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1900",
      "to_node": "node_1901",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.538)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1901",
      "to_node": "node_1902",
      "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_1902",
      "to_node": "node_1903",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.247)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1903",
      "to_node": "node_1904",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1905",
      "to_node": "node_1906",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005038)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1906",
      "to_node": "node_1907",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004404)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1907",
      "to_node": "node_1908",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.466)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1908",
      "to_node": "node_1909",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1909",
      "to_node": "node_1910",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.443)",
      "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": "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1911",
      "to_node": "node_1912",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1914",
      "to_node": "node_1915",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002002)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1915",
      "to_node": "node_1916",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004012)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1916",
      "to_node": "node_1917",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.437)",
      "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": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003718)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1918",
      "to_node": "node_1919",
      "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_1919",
      "to_node": "node_1920",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1920",
      "to_node": "node_1921",
      "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_1921",
      "to_node": "node_1922",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1923",
      "to_node": "node_1924",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.377)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1924",
      "to_node": "node_1925",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1925",
      "to_node": "node_1926",
      "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_1926",
      "to_node": "node_1927",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1927",
      "to_node": "node_1928",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006347)",
      "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": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1929",
      "to_node": "node_1930",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1931",
      "to_node": "node_1932",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004471)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1932",
      "to_node": "node_1933",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005411)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1933",
      "to_node": "node_1934",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1934",
      "to_node": "node_1935",
      "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_1935",
      "to_node": "node_1936",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 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_1938",
      "to_node": "node_1939",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004807)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1939",
      "to_node": "node_1940",
      "edge_type": "modification",
      "reasoning": "Increase 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_1940",
      "to_node": "node_1941",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001795)",
      "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": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005360)",
      "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 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_1943",
      "to_node": "node_1944",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1945",
      "to_node": "node_1946",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004353)",
      "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": "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_1947",
      "to_node": "node_1948",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.486)",
      "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": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005377)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1949",
      "to_node": "node_1950",
      "edge_type": "modification",
      "reasoning": "Increase 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_1950",
      "to_node": "node_1951",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006282)",
      "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 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1952",
      "to_node": "node_1953",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1954",
      "to_node": "node_1955",
      "edge_type": "modification",
      "reasoning": "Increase 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_1955",
      "to_node": "node_1956",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002314)",
      "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": "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_1957",
      "to_node": "node_1958",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "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 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_1959",
      "to_node": "node_1960",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004648)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1962",
      "to_node": "node_1963",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003851)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1963",
      "to_node": "node_1964",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004071)",
      "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 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_1965",
      "to_node": "node_1966",
      "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_1966",
      "to_node": "node_1967",
      "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_1967",
      "to_node": "node_1968",
      "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_1968",
      "to_node": "node_1969",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1970",
      "to_node": "node_1971",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004695)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1971",
      "to_node": "node_1972",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005370)",
      "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 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_1973",
      "to_node": "node_1974",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1975",
      "to_node": "node_1976",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005562)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1976",
      "to_node": "node_1977",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1977",
      "to_node": "node_1978",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.241)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1980",
      "to_node": "node_1981",
      "edge_type": "modification",
      "reasoning": "Increase 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_1981",
      "to_node": "node_1982",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003053)",
      "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 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_1983",
      "to_node": "node_1984",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.279)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1984",
      "to_node": "node_1985",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005358)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1985",
      "to_node": "node_1986",
      "edge_type": "modification",
      "reasoning": "Increase 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_1986",
      "to_node": "node_1987",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1988",
      "to_node": "node_1989",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.410)",
      "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 7 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1990",
      "to_node": "node_1991",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.443)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1991",
      "to_node": "node_1992",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1992",
      "to_node": "node_1993",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1994",
      "to_node": "node_1995",
      "edge_type": "modification",
      "reasoning": "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_1995",
      "to_node": "node_1996",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005186)",
      "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 10 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.276)",
      "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 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005448)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1998",
      "to_node": "node_1999",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1999",
      "to_node": "node_2000",
      "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_2000",
      "to_node": "node_2001",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2003",
      "to_node": "node_2004",
      "edge_type": "modification",
      "reasoning": "Increase 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_2004",
      "to_node": "node_2005",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2005",
      "to_node": "node_2006",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "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 7 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.312)",
      "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 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005018)",
      "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 14 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.466)",
      "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 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_2012",
      "to_node": "node_2013",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)",
      "action_type": null,
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      "to_node": "node_2014",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.362)",
      "action_type": null,
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    {
      "from_node": "node_2014",
      "to_node": "node_2015",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.403)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2015",
      "to_node": "node_2016",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2017",
      "to_node": "node_2018",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.181)",
      "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": "Increase 1 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.464)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2019",
      "to_node": "node_2020",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2020",
      "to_node": "node_2021",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.642)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2021",
      "to_node": "node_2022",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2022",
      "to_node": "node_2023",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2024",
      "to_node": "node_2025",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001873)",
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    {
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      "to_node": "node_2026",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
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      "from_node": "node_2026",
      "to_node": "node_2027",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    {
      "from_node": "node_2027",
      "to_node": "node_2028",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2030",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.621)",
      "action_type": null,
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    {
      "from_node": "node_2030",
      "to_node": "node_2031",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.422)",
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      "to_node": "node_2032",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.372)",
      "action_type": null,
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    {
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      "to_node": "node_2033",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2034",
      "to_node": "node_2035",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004079)",
      "action_type": null,
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    {
      "from_node": "node_2035",
      "to_node": "node_2036",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004821)",
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    {
      "from_node": "node_2036",
      "to_node": "node_2037",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)",
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    {
      "from_node": "node_2037",
      "to_node": "node_2038",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
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      "to_node": "node_2039",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.267)",
      "action_type": null,
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    {
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      "to_node": "node_2040",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "action_type": null,
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    {
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      "to_node": "node_2041",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2043",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004361)",
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      "reasoning": "Increase 5 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.418)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
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      "to_node": "node_2046",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
      "action_type": null,
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      "to_node": "node_2047",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
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    {
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      "to_node": "node_2048",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2050",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.362)",
      "action_type": null,
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      "to_node": "node_2051",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.582)",
      "action_type": null,
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    {
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      "to_node": "node_2052",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
      "action_type": null,
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    {
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      "to_node": "node_2053",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.445)",
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    {
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      "to_node": "node_2054",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.221)",
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    {
      "from_node": "node_2054",
      "to_node": "node_2055",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "action_type": null,
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    {
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      "to_node": "node_2056",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2058",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.294)",
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    {
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      "to_node": "node_2059",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002903)",
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    {
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      "to_node": "node_2060",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)",
      "action_type": null,
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    {
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      "to_node": "node_2061",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005504)",
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    {
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      "to_node": "node_2062",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
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    {
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      "to_node": "node_2063",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    {
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      "to_node": "node_2064",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_2066",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.002778)",
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    {
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      "to_node": "node_2067",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
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      "to_node": "node_2068",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.558)",
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    {
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      "to_node": "node_2069",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003099)",
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    {
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      "to_node": "node_2070",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2071",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2072",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
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      "metadata": null,
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      "to_node": "node_2079",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
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      "to_node": "node_2084",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006925)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
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      "to_node": "node_2086",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2088",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005273)",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 25%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.263)",
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      "to_node": "node_2091",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.245)",
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      "to_node": "node_2093",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
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      "to_node": "node_2098",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
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      "to_node": "node_2099",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.513)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.546)",
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      "to_node": "node_2101",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
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    {
      "from_node": "node_2101",
      "to_node": "node_2102",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2104",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.196)",
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.248)",
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    {
      "from_node": "node_2105",
      "to_node": "node_2106",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004428)",
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    {
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      "to_node": "node_2107",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
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      "to_node": "node_2108",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.502)",
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    {
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      "to_node": "node_2109",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)",
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    {
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      "to_node": "node_2110",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_2112",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
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    {
      "from_node": "node_2112",
      "to_node": "node_2113",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004093)",
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    {
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      "to_node": "node_2114",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
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      "to_node": "node_2115",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.196)",
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    {
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      "to_node": "node_2116",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)",
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      "to_node": "node_2117",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.422)",
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    {
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      "to_node": "node_2118",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2120",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
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      "to_node": "node_2121",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
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      "to_node": "node_2122",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.199)",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.376)",
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      "to_node": "node_2125",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2127",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
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      "to_node": "node_2128",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.220)",
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      "grammar_action": "SCALE_PARAM(11, thickness, 1.309)",
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      "to_node": "node_2130",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_2132",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.653)",
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    {
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      "to_node": "node_2133",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001603)",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "reasoning": "Increase all_members thickness by 24%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2148",
      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "metadata": null,
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      "to_node": "node_2159",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 22%",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.337)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
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      "to_node": "node_2165",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004523)",
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      "to_node": "node_2166",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "metadata": null,
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      "to_node": "node_2184",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.471)",
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      "edge_type": "modification",
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      "reasoning": "Increase 1 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.247)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.387)",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004064)",
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      "to_node": "node_2192",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
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      "to_node": "node_2193",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
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      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004897)",
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    {
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      "to_node": "node_2194",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.536)",
      "action_type": null,
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      "to_node": "node_2195",
      "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,
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    {
      "from_node": "node_2195",
      "to_node": "node_2196",
      "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,
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    {
      "from_node": "node_2196",
      "to_node": "node_2197",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2198",
      "to_node": "node_2199",
      "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,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2199",
      "to_node": "node_2200",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006332)",
      "action_type": null,
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    {
      "from_node": "node_2200",
      "to_node": "node_2201",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.531)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2201",
      "to_node": "node_2202",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2202",
      "to_node": "node_2203",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2203",
      "to_node": "node_2204",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.339)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_2204",
      "to_node": "node_2205",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_2205",
      "to_node": "node_2206",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2207",
      "to_node": "node_2208",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2208",
      "to_node": "node_2209",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005556)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2209",
      "to_node": "node_2210",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2210",
      "to_node": "node_2211",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2211",
      "to_node": "node_2212",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2213",
      "to_node": "node_2214",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
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    {
      "from_node": "node_2214",
      "to_node": "node_2215",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.362)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2215",
      "to_node": "node_2216",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.560)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2216",
      "to_node": "node_2217",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006991)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2217",
      "to_node": "node_2218",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005828)",
      "action_type": null,
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    },
    {
      "from_node": "node_2218",
      "to_node": "node_2219",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2219",
      "to_node": "node_2220",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
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    {
      "from_node": "node_2220",
      "to_node": "node_2221",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2222",
      "to_node": "node_2223",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    {
      "from_node": "node_2223",
      "to_node": "node_2224",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.462)",
      "action_type": null,
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    {
      "from_node": "node_2224",
      "to_node": "node_2225",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.475)",
      "action_type": null,
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    {
      "from_node": "node_2225",
      "to_node": "node_2226",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2227",
      "to_node": "node_2228",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
      "action_type": null,
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    },
    {
      "from_node": "node_2228",
      "to_node": "node_2229",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2229",
      "to_node": "node_2230",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2230",
      "to_node": "node_2231",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
      "action_type": null,
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    },
    {
      "from_node": "node_2231",
      "to_node": "node_2232",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.214)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2232",
      "to_node": "node_2233",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2233",
      "to_node": "node_2234",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_2235",
      "to_node": "node_2236",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2236",
      "to_node": "node_2237",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2237",
      "to_node": "node_2238",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.370)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2238",
      "to_node": "node_2239",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.605)",
      "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": "Increase 10 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.192)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2242",
      "to_node": "node_2243",
      "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,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2243",
      "to_node": "node_2244",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004375)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2244",
      "to_node": "node_2245",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003830)",
      "action_type": null,
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    {
      "from_node": "node_2245",
      "to_node": "node_2246",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2246",
      "to_node": "node_2247",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2247",
      "to_node": "node_2248",
      "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_2248",
      "to_node": "node_2249",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "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_2251",
      "to_node": "node_2252",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.190)",
      "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 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)",
      "action_type": null,
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      "from_node": "node_2315",
      "to_node": "node_2316",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006154)",
      "action_type": null,
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    {
      "from_node": "node_2316",
      "to_node": "node_2317",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2317",
      "to_node": "node_2318",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "action_type": null,
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    {
      "from_node": "node_2318",
      "to_node": "node_2319",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2319",
      "to_node": "node_2320",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.527)",
      "action_type": null,
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    {
      "from_node": "node_2320",
      "to_node": "node_2321",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2322",
      "to_node": "node_2323",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004864)",
      "action_type": null,
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    },
    {
      "from_node": "node_2323",
      "to_node": "node_2324",
      "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,
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    {
      "from_node": "node_2324",
      "to_node": "node_2325",
      "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,
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    {
      "from_node": "node_2325",
      "to_node": "node_2326",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2327",
      "to_node": "node_2328",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
      "action_type": null,
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    {
      "from_node": "node_2328",
      "to_node": "node_2329",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2329",
      "to_node": "node_2330",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
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    {
      "from_node": "node_2330",
      "to_node": "node_2331",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2332",
      "to_node": "node_2333",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.475)",
      "action_type": null,
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    {
      "from_node": "node_2333",
      "to_node": "node_2334",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.111)",
      "action_type": null,
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    {
      "from_node": "node_2334",
      "to_node": "node_2335",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2335",
      "to_node": "node_2336",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2337",
      "to_node": "node_2338",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2338",
      "to_node": "node_2339",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002695)",
      "action_type": null,
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    },
    {
      "from_node": "node_2339",
      "to_node": "node_2340",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.522)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2340",
      "to_node": "node_2341",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.218)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2341",
      "to_node": "node_2342",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2342",
      "to_node": "node_2343",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
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    },
    {
      "from_node": "node_2343",
      "to_node": "node_2344",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
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    },
    {
      "from_node": "node_2344",
      "to_node": "node_2345",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2346",
      "to_node": "node_2347",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007004)",
      "action_type": null,
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    {
      "from_node": "node_2347",
      "to_node": "node_2348",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005838)",
      "action_type": null,
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    },
    {
      "from_node": "node_2348",
      "to_node": "node_2349",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005802)",
      "action_type": null,
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    {
      "from_node": "node_2349",
      "to_node": "node_2350",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
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    {
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      "to_node": "node_2351",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.634)",
      "action_type": null,
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    {
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      "to_node": "node_2352",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    },
    {
      "from_node": "node_2353",
      "to_node": "node_2354",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004061)",
      "action_type": null,
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    },
    {
      "from_node": "node_2354",
      "to_node": "node_2355",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)",
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    {
      "from_node": "node_2355",
      "to_node": "node_2356",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
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    {
      "from_node": "node_2356",
      "to_node": "node_2357",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
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    {
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      "to_node": "node_2358",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.441)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2358",
      "to_node": "node_2359",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_2361",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.506)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2361",
      "to_node": "node_2362",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.464)",
      "action_type": null,
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    },
    {
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      "to_node": "node_2363",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2363",
      "to_node": "node_2364",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 67%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.667)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2364",
      "to_node": "node_2365",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
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    },
    {
      "from_node": "node_2365",
      "to_node": "node_2366",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_2366",
      "to_node": "node_2367",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2368",
      "to_node": "node_2369",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003721)",
      "action_type": null,
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    },
    {
      "from_node": "node_2369",
      "to_node": "node_2370",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_2371",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2371",
      "to_node": "node_2372",
      "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_2372",
      "to_node": "node_2373",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2373",
      "to_node": "node_2374",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
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      "to_node": "node_2375",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.196)",
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    {
      "from_node": "node_2375",
      "to_node": "node_2376",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2377",
      "to_node": "node_2378",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005476)",
      "action_type": null,
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    {
      "from_node": "node_2378",
      "to_node": "node_2379",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004896)",
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    {
      "from_node": "node_2379",
      "to_node": "node_2380",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005175)",
      "action_type": null,
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    {
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      "to_node": "node_2381",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
      "action_type": null,
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    {
      "from_node": "node_2381",
      "to_node": "node_2382",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
      "action_type": null,
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    {
      "from_node": "node_2382",
      "to_node": "node_2383",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2384",
      "to_node": "node_2385",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.385)",
      "action_type": null,
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    {
      "from_node": "node_2385",
      "to_node": "node_2386",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.368)",
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    {
      "from_node": "node_2386",
      "to_node": "node_2387",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.637)",
      "action_type": null,
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    {
      "from_node": "node_2387",
      "to_node": "node_2388",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2389",
      "to_node": "node_2390",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.248)",
      "action_type": null,
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    {
      "from_node": "node_2390",
      "to_node": "node_2391",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.256)",
      "action_type": null,
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    {
      "from_node": "node_2391",
      "to_node": "node_2392",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
      "action_type": null,
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    {
      "from_node": "node_2392",
      "to_node": "node_2393",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2394",
      "to_node": "node_2395",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.321)",
      "action_type": null,
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    {
      "from_node": "node_2395",
      "to_node": "node_2396",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)",
      "action_type": null,
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    {
      "from_node": "node_2396",
      "to_node": "node_2397",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2397",
      "to_node": "node_2398",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
      "action_type": null,
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    {
      "from_node": "node_2398",
      "to_node": "node_2399",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
      "action_type": null,
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    },
    {
      "from_node": "node_2399",
      "to_node": "node_2400",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.222)",
      "action_type": null,
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    {
      "from_node": "node_2400",
      "to_node": "node_2401",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2402",
      "to_node": "node_2403",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
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    {
      "from_node": "node_2403",
      "to_node": "node_2404",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.198)",
      "action_type": null,
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    },
    {
      "from_node": "node_2404",
      "to_node": "node_2405",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.002577)",
      "action_type": null,
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    {
      "from_node": "node_2405",
      "to_node": "node_2406",
      "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,
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    },
    {
      "from_node": "node_2406",
      "to_node": "node_2407",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
      "action_type": null,
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    {
      "from_node": "node_2407",
      "to_node": "node_2408",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.541)",
      "action_type": null,
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      "parameter_name": null,
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    {
      "from_node": "node_2408",
      "to_node": "node_2409",
      "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,
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    {
      "from_node": "node_2409",
      "to_node": "node_2410",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2411",
      "to_node": "node_2412",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
      "action_type": null,
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    },
    {
      "from_node": "node_2412",
      "to_node": "node_2413",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
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    {
      "from_node": "node_2413",
      "to_node": "node_2414",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
      "action_type": null,
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    {
      "from_node": "node_2414",
      "to_node": "node_2415",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.473)",
      "action_type": null,
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    {
      "from_node": "node_2415",
      "to_node": "node_2416",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.653)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2416",
      "to_node": "node_2417",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2417",
      "to_node": "node_2418",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2419",
      "to_node": "node_2420",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.613)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2420",
      "to_node": "node_2421",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.567)",
      "action_type": null,
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    {
      "from_node": "node_2421",
      "to_node": "node_2422",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.661)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2422",
      "to_node": "node_2423",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2424",
      "to_node": "node_2425",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.541)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2425",
      "to_node": "node_2426",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "action_type": null,
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    {
      "from_node": "node_2426",
      "to_node": "node_2427",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_2427",
      "to_node": "node_2428",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "to_node": "node_2430",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.353)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_2430",
      "to_node": "node_2431",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
      "action_type": null,
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      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_2431",
      "to_node": "node_2432",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_2432",
      "to_node": "node_2433",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005156)",
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      "target_member": null,
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    {
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      "to_node": "node_2434",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.316)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2435",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
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    {
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      "to_node": "node_2441",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "to_node": "node_2444",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005186)",
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      "to_node": "node_2445",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.439)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.205)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)",
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      "to_node": "node_2448",
      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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      "to_node": "node_2452",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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      "reasoning": "Increase 7 thickness by 49%",
      "metadata": null,
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      "reasoning": "Increase 10 thickness by 46%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
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      "from_node": "node_2455",
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      "reasoning": "Add member connecting joints 1 and 6",
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      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2459",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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      "to_node": "node_2461",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.499)",
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      "edge_type": "modification",
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    {
      "from_node": "node_2463",
      "to_node": "node_2464",
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      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
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      "from_node": "node_2464",
      "to_node": "node_2465",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005527)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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      "to_node": "node_2467",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.447)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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    {
      "from_node": "node_2469",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "reasoning": "Increase 7 thickness by 65%",
      "metadata": null,
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    {
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      "to_node": "node_2474",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
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    {
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.592)",
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    {
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      "to_node": "node_2476",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.361)",
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    {
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      "to_node": "node_2478",
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    {
      "from_node": "node_2478",
      "to_node": "node_2479",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
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    {
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      "to_node": "node_2480",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2482",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
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    {
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      "to_node": "node_2484",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
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      "to_node": "node_2486",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.504)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.585)",
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      "to_node": "node_2491",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)",
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      "to_node": "node_2492",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
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    {
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      "to_node": "node_2493",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2495",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
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      "to_node": "node_2496",
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      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
      "action_type": null,
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    {
      "from_node": "node_2496",
      "to_node": "node_2497",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
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    {
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      "to_node": "node_2498",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.477)",
      "action_type": null,
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      "from_node": "node_2498",
      "to_node": "node_2499",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
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    {
      "from_node": "node_2499",
      "to_node": "node_2500",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2501",
      "to_node": "node_2502",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
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    {
      "from_node": "node_2502",
      "to_node": "node_2503",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
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    {
      "from_node": "node_2503",
      "to_node": "node_2504",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.256)",
      "action_type": null,
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    {
      "from_node": "node_2504",
      "to_node": "node_2505",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "action_type": null,
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    {
      "from_node": "node_2505",
      "to_node": "node_2506",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2507",
      "to_node": "node_2508",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004301)",
      "action_type": null,
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    {
      "from_node": "node_2508",
      "to_node": "node_2509",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)",
      "action_type": null,
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    {
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      "to_node": "node_2510",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)",
      "action_type": null,
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    {
      "from_node": "node_2510",
      "to_node": "node_2511",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005355)",
      "action_type": null,
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    {
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      "to_node": "node_2512",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
      "action_type": null,
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    {
      "from_node": "node_2512",
      "to_node": "node_2513",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
      "action_type": null,
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    {
      "from_node": "node_2513",
      "to_node": "node_2514",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_2516",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)",
      "action_type": null,
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    {
      "from_node": "node_2516",
      "to_node": "node_2517",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)",
      "action_type": null,
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    {
      "from_node": "node_2517",
      "to_node": "node_2518",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.357)",
      "action_type": null,
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    {
      "from_node": "node_2518",
      "to_node": "node_2519",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005812)",
      "action_type": null,
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    {
      "from_node": "node_2519",
      "to_node": "node_2520",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.541)",
      "action_type": null,
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    {
      "from_node": "node_2520",
      "to_node": "node_2521",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2521",
      "to_node": "node_2522",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2523",
      "to_node": "node_2524",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
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    {
      "from_node": "node_2524",
      "to_node": "node_2525",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.232)",
      "action_type": null,
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    {
      "from_node": "node_2525",
      "to_node": "node_2526",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.592)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2526",
      "to_node": "node_2527",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
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    {
      "from_node": "node_2527",
      "to_node": "node_2528",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)",
      "action_type": null,
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    },
    {
      "from_node": "node_2528",
      "to_node": "node_2529",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.590)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2529",
      "to_node": "node_2530",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2531",
      "to_node": "node_2532",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.572)",
      "action_type": null,
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    {
      "from_node": "node_2532",
      "to_node": "node_2533",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.362)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2533",
      "to_node": "node_2534",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.300)",
      "action_type": null,
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    {
      "from_node": "node_2534",
      "to_node": "node_2535",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2535",
      "to_node": "node_2536",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "action_type": null,
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    {
      "from_node": "node_2536",
      "to_node": "node_2537",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2538",
      "to_node": "node_2539",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006082)",
      "action_type": null,
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    },
    {
      "from_node": "node_2539",
      "to_node": "node_2540",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    {
      "from_node": "node_2540",
      "to_node": "node_2541",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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    {
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      "to_node": "node_2542",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.484)",
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    {
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      "to_node": "node_2543",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
      "action_type": null,
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      "to_node": "node_2544",
      "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,
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      "scale_factor": null
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    {
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      "to_node": "node_2545",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_2547",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.314)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_2548",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.335)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_2549",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.297)",
      "action_type": null,
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      "parameter_name": null,
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    {
      "from_node": "node_2549",
      "to_node": "node_2550",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
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      "scale_factor": null
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    {
      "from_node": "node_2550",
      "to_node": "node_2551",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2552",
      "to_node": "node_2553",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
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      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2553",
      "to_node": "node_2554",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
      "action_type": null,
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      "edge_type": "modification",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "reasoning": "Increase all_members thickness by 28%",
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      "grammar_action": "SCALE_PARAM(5, thickness, 1.236)",
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      "to_node": "node_2565",
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      "to_node": "node_2566",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2569",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004935)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
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      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(14, thickness, 1.229)",
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      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)",
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.285)",
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    {
      "from_node": "node_2579",
      "to_node": "node_2580",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005969)",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.222)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)",
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      "grammar_action": "SCALE_PARAM(10, thickness, 1.239)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.233)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.449)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
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      "reasoning": "Optimal solution",
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      "to_node": "node_2591",
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      "grammar_action": "SCALE_PARAM(8, thickness, 1.212)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2598",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
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      "metadata": null,
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      "to_node": "node_2601",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
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      "metadata": null,
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      "to_node": "node_2605",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 38%",
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      "grammar_action": "SCALE_PARAM(5, thickness, 1.383)",
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      "to_node": "node_2606",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004554)",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.420)",
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      "to_node": "node_2608",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
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      "to_node": "node_2609",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)",
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      "to_node": "node_2610",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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      "to_node": "node_2611",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2613",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
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      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
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      "to_node": "node_2614",
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      "to_node": "node_2615",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
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      "action_type": null,
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      "to_node": "node_2616",
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      "reasoning": "Add member connecting joints 1 and 6",
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.435)",
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      "to_node": "node_2618",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.225)",
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      "to_node": "node_2621",
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      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004221)",
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    {
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      "to_node": "node_2622",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
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      "to_node": "node_2623",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)",
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      "from_node": "node_2623",
      "to_node": "node_2624",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2627",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)",
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    {
      "from_node": "node_2627",
      "to_node": "node_2628",
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      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
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      "reasoning": "Increase 9 thickness by 60%",
      "metadata": null,
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      "to_node": "node_2630",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.217)",
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      "to_node": "node_2631",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_2632",
      "to_node": "node_2633",
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      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001531)",
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    {
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      "to_node": "node_2634",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005832)",
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    {
      "from_node": "node_2634",
      "to_node": "node_2635",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005834)",
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    {
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      "to_node": "node_2636",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)",
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    {
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      "to_node": "node_2637",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)",
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    {
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      "to_node": "node_2638",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2640",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.271)",
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    {
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      "to_node": "node_2641",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)",
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    {
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      "reasoning": "Increase 3 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.214)",
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    {
      "from_node": "node_2642",
      "to_node": "node_2643",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2645",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.548)",
      "action_type": null,
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    {
      "from_node": "node_2645",
      "to_node": "node_2646",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
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    {
      "from_node": "node_2646",
      "to_node": "node_2647",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
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    {
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      "to_node": "node_2648",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.220)",
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    {
      "from_node": "node_2648",
      "to_node": "node_2649",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
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    {
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      "to_node": "node_2650",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2652",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.295)",
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    {
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      "to_node": "node_2653",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
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    {
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      "to_node": "node_2654",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.178)",
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    {
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      "to_node": "node_2655",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)",
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    {
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      "to_node": "node_2656",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.366)",
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    {
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      "to_node": "node_2657",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_2659",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001358)",
      "action_type": null,
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    {
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      "to_node": "node_2660",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
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      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004190)",
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    {
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      "to_node": "node_2661",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.490)",
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      "to_node": "node_2663",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
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      "to_node": "node_2664",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.541)",
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      "to_node": "node_2667",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004445)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
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      "to_node": "node_2669",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
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      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007108)",
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    {
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      "to_node": "node_2670",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
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      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001866)",
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      "to_node": "node_2671",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)",
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    {
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      "to_node": "node_2672",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2674",
      "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,
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      "from_node": "node_2674",
      "to_node": "node_2675",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005398)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2675",
      "to_node": "node_2676",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.003999)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2676",
      "to_node": "node_2677",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.188)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2677",
      "to_node": "node_2678",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_2678",
      "to_node": "node_2679",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2679",
      "to_node": "node_2680",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2681",
      "to_node": "node_2682",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2682",
      "to_node": "node_2683",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2683",
      "to_node": "node_2684",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2684",
      "to_node": "node_2685",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001914)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2685",
      "to_node": "node_2686",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.178)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2686",
      "to_node": "node_2687",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_2687",
      "to_node": "node_2688",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2689",
      "to_node": "node_2690",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003493)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2690",
      "to_node": "node_2691",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001605)",
      "action_type": null,
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    },
    {
      "from_node": "node_2691",
      "to_node": "node_2692",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.166)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2692",
      "to_node": "node_2693",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2693",
      "to_node": "node_2694",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.458)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2694",
      "to_node": "node_2695",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2696",
      "to_node": "node_2697",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.314)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2697",
      "to_node": "node_2698",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2698",
      "to_node": "node_2699",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005393)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2699",
      "to_node": "node_2700",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003248)",
      "action_type": null,
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    },
    {
      "from_node": "node_2700",
      "to_node": "node_2701",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2701",
      "to_node": "node_2702",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2703",
      "to_node": "node_2704",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.311)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2704",
      "to_node": "node_2705",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.224)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2705",
      "to_node": "node_2706",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2706",
      "to_node": "node_2707",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2707",
      "to_node": "node_2708",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2709",
      "to_node": "node_2710",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2710",
      "to_node": "node_2711",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003634)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2711",
      "to_node": "node_2712",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2712",
      "to_node": "node_2713",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005762)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2713",
      "to_node": "node_2714",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2714",
      "to_node": "node_2715",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2715",
      "to_node": "node_2716",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2717",
      "to_node": "node_2718",
      "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_2718",
      "to_node": "node_2719",
      "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_2719",
      "to_node": "node_2720",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2720",
      "to_node": "node_2721",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.224)",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2723",
      "to_node": "node_2724",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2724",
      "to_node": "node_2725",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2725",
      "to_node": "node_2726",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2726",
      "to_node": "node_2727",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2727",
      "to_node": "node_2728",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
      "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": "Increase 1 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.582)",
      "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 8 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.488)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
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      "to_node": "node_2733",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.597)",
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      "to_node": "node_2735",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "metadata": null,
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      "from_node": "node_2737",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
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      "to_node": "node_2739",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.595)",
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    {
      "from_node": "node_2739",
      "to_node": "node_2740",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2742",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.534)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.590)",
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      "reasoning": "Increase 14 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.605)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
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    {
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      "to_node": "node_2747",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2749",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)",
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    {
      "from_node": "node_2749",
      "to_node": "node_2750",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004995)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)",
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    {
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      "to_node": "node_2752",
      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.266)",
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      "to_node": "node_2755",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005658)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
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    {
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      "reasoning": "Optimal solution",
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      "from_node": "node_2758",
      "to_node": "node_2759",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004549)",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.368)",
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      "to_node": "node_2761",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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      "to_node": "node_2763",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
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      "to_node": "node_2764",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.196)",
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    {
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      "to_node": "node_2765",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_2766",
      "to_node": "node_2767",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
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      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007229)",
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      "reasoning": "Increase 1 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.202)",
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      "to_node": "node_2769",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
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      "edge_type": "modification",
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    {
      "from_node": "node_2771",
      "to_node": "node_2772",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006511)",
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      "to_node": "node_2773",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
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      "to_node": "node_2774",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.222)",
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    {
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      "to_node": "node_2775",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.420)",
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    {
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      "to_node": "node_2776",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "reasoning": "Increase 11 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.206)",
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      "to_node": "node_2779",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.631)",
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      "to_node": "node_2780",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
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      "to_node": "node_2781",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.300)",
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    {
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      "to_node": "node_2782",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2784",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
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    {
      "from_node": "node_2784",
      "to_node": "node_2785",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005425)",
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    {
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      "to_node": "node_2786",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.524)",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.493)",
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      "to_node": "node_2788",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
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      "to_node": "node_2789",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
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      "to_node": "node_2790",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2792",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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      "to_node": "node_2793",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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      "to_node": "node_2794",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
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      "to_node": "node_2795",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2798",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 26%",
      "metadata": null,
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      "action_type": null,
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      "to_node": "node_2799",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.221)",
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      "to_node": "node_2800",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
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    {
      "from_node": "node_2800",
      "to_node": "node_2801",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.189)",
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      "from_node": "node_2801",
      "to_node": "node_2802",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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    {
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      "to_node": "node_2803",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2805",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
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      "from_node": "node_2805",
      "to_node": "node_2806",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)",
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      "from_node": "node_2806",
      "to_node": "node_2807",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
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      "to_node": "node_2808",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
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      "from_node": "node_2810",
      "to_node": "node_2811",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
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    {
      "from_node": "node_2811",
      "to_node": "node_2812",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2814",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)",
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      "from_node": "node_2814",
      "to_node": "node_2815",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006441)",
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      "to_node": "node_2816",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
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      "edge_type": "modification",
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      "to_node": "node_2819",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
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      "from_node": "node_2819",
      "to_node": "node_2820",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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    {
      "from_node": "node_2820",
      "to_node": "node_2821",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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      "to_node": "node_2822",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.350)",
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      "from_node": "node_2822",
      "to_node": "node_2823",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.529)",
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      "to_node": "node_2824",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_2826",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006503)",
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    {
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      "to_node": "node_2827",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
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      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006146)",
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      "to_node": "node_2828",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
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    {
      "from_node": "node_2828",
      "to_node": "node_2829",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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    {
      "from_node": "node_2829",
      "to_node": "node_2830",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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    {
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      "to_node": "node_2831",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2833",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.244)",
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    {
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      "to_node": "node_2834",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.311)",
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    {
      "from_node": "node_2834",
      "to_node": "node_2835",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005980)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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    {
      "from_node": "node_2836",
      "to_node": "node_2837",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
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      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
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    {
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      "to_node": "node_2838",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2840",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "reasoning": "Increase 2 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.225)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
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      "to_node": "node_2843",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
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      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007163)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
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      "to_node": "node_2845",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2849",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
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      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004029)",
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      "to_node": "node_2850",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.527)",
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      "to_node": "node_2851",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
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      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005263)",
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      "to_node": "node_2852",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
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    {
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      "to_node": "node_2853",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005029)",
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      "to_node": "node_2854",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
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      "to_node": "node_2855",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2856",
      "to_node": "node_2857",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
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      "action_type": null,
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    {
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      "to_node": "node_2858",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.326)",
      "action_type": null,
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    {
      "from_node": "node_2858",
      "to_node": "node_2859",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
      "action_type": null,
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    {
      "from_node": "node_2859",
      "to_node": "node_2860",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_2862",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.451)",
      "action_type": null,
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    {
      "from_node": "node_2862",
      "to_node": "node_2863",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)",
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    {
      "from_node": "node_2863",
      "to_node": "node_2864",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
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    {
      "from_node": "node_2864",
      "to_node": "node_2865",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2866",
      "to_node": "node_2867",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
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    {
      "from_node": "node_2867",
      "to_node": "node_2868",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.381)",
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    {
      "from_node": "node_2868",
      "to_node": "node_2869",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.484)",
      "action_type": null,
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    {
      "from_node": "node_2869",
      "to_node": "node_2870",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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    {
      "from_node": "node_2870",
      "to_node": "node_2871",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_2872",
      "to_node": "node_2873",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
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    {
      "from_node": "node_2873",
      "to_node": "node_2874",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    {
      "from_node": "node_2874",
      "to_node": "node_2875",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
      "action_type": null,
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    {
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      "to_node": "node_2876",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2877",
      "to_node": "node_2878",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001646)",
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    {
      "from_node": "node_2878",
      "to_node": "node_2879",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005194)",
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      "to_node": "node_2880",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.346)",
      "action_type": null,
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      "to_node": "node_2881",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
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    {
      "from_node": "node_2881",
      "to_node": "node_2882",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
      "action_type": null,
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    {
      "from_node": "node_2882",
      "to_node": "node_2883",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.279)",
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      "from_node": "node_2883",
      "to_node": "node_2884",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.418)",
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    {
      "from_node": "node_2884",
      "to_node": "node_2885",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2886",
      "to_node": "node_2887",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
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    {
      "from_node": "node_2887",
      "to_node": "node_2888",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
      "action_type": null,
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    {
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      "to_node": "node_2889",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004299)",
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    {
      "from_node": "node_2889",
      "to_node": "node_2890",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.391)",
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    {
      "from_node": "node_2890",
      "to_node": "node_2891",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
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      "to_node": "node_2892",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.449)",
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    {
      "from_node": "node_2892",
      "to_node": "node_2893",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2895",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.425)",
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    {
      "from_node": "node_2895",
      "to_node": "node_2896",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.377)",
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    {
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      "to_node": "node_2897",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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    {
      "from_node": "node_2897",
      "to_node": "node_2898",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
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    {
      "from_node": "node_2898",
      "to_node": "node_2899",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2901",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.647)",
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    {
      "from_node": "node_2901",
      "to_node": "node_2902",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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    {
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      "to_node": "node_2903",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.269)",
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    {
      "from_node": "node_2903",
      "to_node": "node_2904",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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    {
      "from_node": "node_2904",
      "to_node": "node_2905",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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      "to_node": "node_2906",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.499)",
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    {
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      "to_node": "node_2907",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.592)",
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    {
      "from_node": "node_2907",
      "to_node": "node_2908",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_2910",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003460)",
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    {
      "from_node": "node_2910",
      "to_node": "node_2911",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003335)",
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    {
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      "to_node": "node_2912",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
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    {
      "from_node": "node_2912",
      "to_node": "node_2913",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
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    {
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      "to_node": "node_2914",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.274)",
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      "from_node": "node_2914",
      "to_node": "node_2915",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.600)",
      "action_type": null,
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    {
      "from_node": "node_2915",
      "to_node": "node_2916",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_2917",
      "to_node": "node_2918",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001726)",
      "action_type": null,
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    },
    {
      "from_node": "node_2918",
      "to_node": "node_2919",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006092)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2919",
      "to_node": "node_2920",
      "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,
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    {
      "from_node": "node_2920",
      "to_node": "node_2921",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2922",
      "to_node": "node_2923",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_2923",
      "to_node": "node_2924",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2924",
      "to_node": "node_2925",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_2925",
      "to_node": "node_2926",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003517)",
      "action_type": null,
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    {
      "from_node": "node_2926",
      "to_node": "node_2927",
      "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,
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    {
      "from_node": "node_2927",
      "to_node": "node_2928",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2929",
      "to_node": "node_2930",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.002520)",
      "action_type": null,
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    {
      "from_node": "node_2930",
      "to_node": "node_2931",
      "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,
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    {
      "from_node": "node_2931",
      "to_node": "node_2932",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)",
      "action_type": null,
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    {
      "from_node": "node_2932",
      "to_node": "node_2933",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005713)",
      "action_type": null,
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    },
    {
      "from_node": "node_2933",
      "to_node": "node_2934",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2934",
      "to_node": "node_2935",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.427)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2935",
      "to_node": "node_2936",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "action_type": null,
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    },
    {
      "from_node": "node_2936",
      "to_node": "node_2937",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2938",
      "to_node": "node_2939",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005995)",
      "action_type": null,
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    },
    {
      "from_node": "node_2939",
      "to_node": "node_2940",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.414)",
      "action_type": null,
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    {
      "from_node": "node_2940",
      "to_node": "node_2941",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_2941",
      "to_node": "node_2942",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.592)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_2942",
      "to_node": "node_2943",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
      "action_type": null,
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    {
      "from_node": "node_2943",
      "to_node": "node_2944",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2945",
      "to_node": "node_2946",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.368)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_2946",
      "to_node": "node_2947",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005402)",
      "action_type": null,
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    },
    {
      "from_node": "node_2947",
      "to_node": "node_2948",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006520)",
      "action_type": null,
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    },
    {
      "from_node": "node_2948",
      "to_node": "node_2949",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.565)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2949",
      "to_node": "node_2950",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005435)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2950",
      "to_node": "node_2951",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2951",
      "to_node": "node_2952",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2953",
      "to_node": "node_2954",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2954",
      "to_node": "node_2955",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006435)",
      "action_type": null,
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    {
      "from_node": "node_2955",
      "to_node": "node_2956",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
      "action_type": null,
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    {
      "from_node": "node_2956",
      "to_node": "node_2957",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2957",
      "to_node": "node_2958",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2959",
      "to_node": "node_2960",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.199)",
      "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": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2961",
      "to_node": "node_2962",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.366)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2962",
      "to_node": "node_2963",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2964",
      "to_node": "node_2965",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2965",
      "to_node": "node_2966",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.359)",
      "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 13 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.370)",
      "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 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_2968",
      "to_node": "node_2969",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.368)",
      "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": "Increase 5 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.206)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 15 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.488)",
      "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": "Increase 8 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.238)",
      "action_type": null,
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      "reasoning": "Add member connecting joints 6 and 7",
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      "grammar_action": "SCALE_PARAM(7, thickness, 1.351)",
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      "reasoning": "Increase all_members thickness by 12%",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
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      "metadata": null,
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      "reasoning": "Increase 3 thickness by 19%",
      "metadata": null,
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    {
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    {
      "from_node": "node_2990",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase 0 thickness by 30%",
      "metadata": null,
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      "metadata": null,
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      "from_node": "node_2995",
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      "reasoning": "Add member connecting joints 2 and 5",
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      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
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    {
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      "reasoning": "Add member connecting joints 2 and 6",
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      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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    {
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.425)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)",
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.111)",
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      "reasoning": "Increase 13 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.393)",
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    {
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      "reasoning": "Optimal solution",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "grammar_action": "SCALE_PARAM(4, thickness, 1.328)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
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    {
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      "to_node": "node_3018",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.647)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.422)",
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    {
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      "to_node": "node_3021",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_3023",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
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      "to_node": "node_3024",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.328)",
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.185)",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.196)",
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      "to_node": "node_3027",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006812)",
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    {
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      "to_node": "node_3028",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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    {
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      "to_node": "node_3029",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "to_node": "node_3032",
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      "grammar_action": "SCALE_PARAM(10, thickness, 1.587)",
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      "to_node": "node_3033",
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      "grammar_action": "SCALE_PARAM(14, thickness, 1.531)",
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      "to_node": "node_3034",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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    {
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      "to_node": "node_3035",
      "edge_type": "modification",
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      "reasoning": "Increase all_members thickness by 32%",
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      "reasoning": "Increase all_members thickness by 24%",
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      "reasoning": "Add member connecting joints 2 and 5",
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      "reasoning": "Increase all_members thickness by 23%",
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      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003427)",
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      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
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      "to_node": "node_3062",
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      "reasoning": "Increase all_members thickness by 19%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.333)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_3074",
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      "reasoning": "Increase all_members thickness by 29%",
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    {
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      "grammar_action": "SCALE_PARAM(2, thickness, 1.239)",
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    {
      "from_node": "node_3075",
      "to_node": "node_3076",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002595)",
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    {
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    {
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      "to_node": "node_3078",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "to_node": "node_3079",
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      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
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      "edge_type": "modification",
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      "to_node": "node_3087",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "reasoning": "Increase all_members thickness by 12%",
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      "to_node": "node_3092",
      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 23%",
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      "grammar_action": "SCALE_PARAM(11, thickness, 1.233)",
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      "to_node": "node_3094",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "to_node": "node_3095",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3098",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005007)",
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      "to_node": "node_3099",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.211)",
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      "to_node": "node_3100",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
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      "to_node": "node_3101",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
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      "to_node": "node_3102",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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    {
      "from_node": "node_3102",
      "to_node": "node_3103",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_3105",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.333)",
      "action_type": null,
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    {
      "from_node": "node_3105",
      "to_node": "node_3106",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005631)",
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      "to_node": "node_3107",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
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    {
      "from_node": "node_3107",
      "to_node": "node_3108",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_3109",
      "to_node": "node_3110",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.179)",
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      "from_node": "node_3110",
      "to_node": "node_3111",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.517)",
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    {
      "from_node": "node_3111",
      "to_node": "node_3112",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004980)",
      "action_type": null,
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    {
      "from_node": "node_3112",
      "to_node": "node_3113",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.534)",
      "action_type": null,
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    {
      "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, 0.045268, 0.005697)",
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    {
      "from_node": "node_3114",
      "to_node": "node_3115",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)",
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    {
      "from_node": "node_3115",
      "to_node": "node_3116",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3118",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.239)",
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    {
      "from_node": "node_3118",
      "to_node": "node_3119",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.511)",
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    {
      "from_node": "node_3119",
      "to_node": "node_3120",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004449)",
      "action_type": null,
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    {
      "from_node": "node_3120",
      "to_node": "node_3121",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
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    {
      "from_node": "node_3121",
      "to_node": "node_3122",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)",
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    {
      "from_node": "node_3122",
      "to_node": "node_3123",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005235)",
      "action_type": null,
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    {
      "from_node": "node_3123",
      "to_node": "node_3124",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)",
      "action_type": null,
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    {
      "from_node": "node_3124",
      "to_node": "node_3125",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3127",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
      "action_type": null,
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    {
      "from_node": "node_3127",
      "to_node": "node_3128",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001150)",
      "action_type": null,
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    {
      "from_node": "node_3128",
      "to_node": "node_3129",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003548)",
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    {
      "from_node": "node_3129",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)",
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    {
      "from_node": "node_3130",
      "to_node": "node_3131",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.287)",
      "action_type": null,
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    {
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      "to_node": "node_3132",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)",
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    {
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      "to_node": "node_3133",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
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    {
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      "to_node": "node_3134",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3136",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
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    {
      "from_node": "node_3136",
      "to_node": "node_3137",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
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    {
      "from_node": "node_3137",
      "to_node": "node_3138",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.401)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_3138",
      "to_node": "node_3139",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.181)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_3139",
      "to_node": "node_3140",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_3142",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
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    {
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      "to_node": "node_3143",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.368)",
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      "scale_factor": null
    },
    {
      "from_node": "node_3143",
      "to_node": "node_3144",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007047)",
      "action_type": null,
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    },
    {
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      "to_node": "node_3145",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
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    {
      "from_node": "node_3145",
      "to_node": "node_3146",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.274)",
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      "scale_factor": null
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    {
      "from_node": "node_3146",
      "to_node": "node_3147",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_3147",
      "to_node": "node_3148",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_3150",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
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      "from_node": "node_3150",
      "to_node": "node_3151",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003048)",
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    {
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      "to_node": "node_3152",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.333)",
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      "scale_factor": null
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    {
      "from_node": "node_3152",
      "to_node": "node_3153",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_3155",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004068)",
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      "to_node": "node_3156",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)",
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      "from_node": "node_3156",
      "to_node": "node_3157",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
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      "from_node": "node_3157",
      "to_node": "node_3158",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
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    {
      "from_node": "node_3158",
      "to_node": "node_3159",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_3160",
      "to_node": "node_3161",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
      "action_type": null,
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    {
      "from_node": "node_3161",
      "to_node": "node_3162",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004946)",
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    {
      "from_node": "node_3162",
      "to_node": "node_3163",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005065)",
      "action_type": null,
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    {
      "from_node": "node_3163",
      "to_node": "node_3164",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
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    {
      "from_node": "node_3164",
      "to_node": "node_3165",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
      "action_type": null,
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    {
      "from_node": "node_3165",
      "to_node": "node_3166",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.412)",
      "action_type": null,
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    {
      "from_node": "node_3166",
      "to_node": "node_3167",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.311)",
      "action_type": null,
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    {
      "from_node": "node_3167",
      "to_node": "node_3168",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3169",
      "to_node": "node_3170",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005925)",
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    {
      "from_node": "node_3170",
      "to_node": "node_3171",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005572)",
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    {
      "from_node": "node_3171",
      "to_node": "node_3172",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)",
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    {
      "from_node": "node_3172",
      "to_node": "node_3173",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
      "action_type": null,
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    {
      "from_node": "node_3173",
      "to_node": "node_3174",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3175",
      "to_node": "node_3176",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
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    {
      "from_node": "node_3176",
      "to_node": "node_3177",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.397)",
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    {
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      "to_node": "node_3178",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.307)",
      "action_type": null,
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      "from_node": "node_3178",
      "to_node": "node_3179",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.418)",
      "action_type": null,
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    {
      "from_node": "node_3179",
      "to_node": "node_3180",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3181",
      "to_node": "node_3182",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.567)",
      "action_type": null,
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    {
      "from_node": "node_3182",
      "to_node": "node_3183",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
      "action_type": null,
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    {
      "from_node": "node_3183",
      "to_node": "node_3184",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.372)",
      "action_type": null,
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    {
      "from_node": "node_3184",
      "to_node": "node_3185",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)",
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    {
      "from_node": "node_3185",
      "to_node": "node_3186",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3187",
      "to_node": "node_3188",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.182)",
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    {
      "from_node": "node_3188",
      "to_node": "node_3189",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.577)",
      "action_type": null,
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    {
      "from_node": "node_3189",
      "to_node": "node_3190",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004912)",
      "action_type": null,
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    {
      "from_node": "node_3190",
      "to_node": "node_3191",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.468)",
      "action_type": null,
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    {
      "from_node": "node_3191",
      "to_node": "node_3192",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
      "action_type": null,
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    {
      "from_node": "node_3192",
      "to_node": "node_3193",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.374)",
      "action_type": null,
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    {
      "from_node": "node_3193",
      "to_node": "node_3194",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3195",
      "to_node": "node_3196",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004917)",
      "action_type": null,
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    {
      "from_node": "node_3196",
      "to_node": "node_3197",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004802)",
      "action_type": null,
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    {
      "from_node": "node_3197",
      "to_node": "node_3198",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001646)",
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    {
      "from_node": "node_3198",
      "to_node": "node_3199",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
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    {
      "from_node": "node_3199",
      "to_node": "node_3200",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3201",
      "to_node": "node_3202",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
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    {
      "from_node": "node_3202",
      "to_node": "node_3203",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
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    {
      "from_node": "node_3203",
      "to_node": "node_3204",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.244)",
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    {
      "from_node": "node_3204",
      "to_node": "node_3205",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006838)",
      "action_type": null,
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    {
      "from_node": "node_3205",
      "to_node": "node_3206",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
      "action_type": null,
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    {
      "from_node": "node_3206",
      "to_node": "node_3207",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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      "scale_factor": null
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    {
      "from_node": "node_3207",
      "to_node": "node_3208",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_3210",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.179)",
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_3210",
      "to_node": "node_3211",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.658)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_3211",
      "to_node": "node_3212",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_3212",
      "to_node": "node_3213",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_3213",
      "to_node": "node_3214",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "to_node": "node_3216",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 32%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.504)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3223",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.316)",
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      "from_node": "node_3223",
      "to_node": "node_3224",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006259)",
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      "to_node": "node_3225",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3228",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
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      "to_node": "node_3229",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.508)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
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      "from_node": "node_3230",
      "to_node": "node_3231",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005220)",
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      "to_node": "node_3232",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
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    {
      "from_node": "node_3232",
      "to_node": "node_3233",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_3234",
      "to_node": "node_3235",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005045)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.393)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
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      "to_node": "node_3238",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.524)",
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      "to_node": "node_3239",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.475)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3242",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.247)",
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    {
      "from_node": "node_3242",
      "to_node": "node_3243",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.166)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.196)",
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    {
      "from_node": "node_3244",
      "to_node": "node_3245",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3247",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)",
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    {
      "from_node": "node_3247",
      "to_node": "node_3248",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007264)",
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    {
      "from_node": "node_3248",
      "to_node": "node_3249",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001907)",
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    {
      "from_node": "node_3249",
      "to_node": "node_3250",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006018)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 19%",
      "metadata": null,
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    {
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      "to_node": "node_3253",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.543)",
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    {
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      "to_node": "node_3256",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004222)",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.513)",
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      "metadata": null,
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    {
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      "to_node": "node_3260",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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    {
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      "to_node": "node_3261",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.603)",
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    {
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      "to_node": "node_3264",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005838)",
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      "to_node": "node_3265",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
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    {
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      "to_node": "node_3266",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3268",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.634)",
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      "to_node": "node_3269",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)",
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      "to_node": "node_3270",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.280)",
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      "to_node": "node_3271",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)",
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      "to_node": "node_3272",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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    {
      "from_node": "node_3272",
      "to_node": "node_3273",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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    {
      "from_node": "node_3273",
      "to_node": "node_3274",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3276",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.585)",
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      "reasoning": "Increase 3 thickness by 20%",
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      "grammar_action": "SCALE_PARAM(3, thickness, 1.202)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
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      "to_node": "node_3279",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)",
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      "from_node": "node_3279",
      "to_node": "node_3280",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
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      "to_node": "node_3281",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)",
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      "from_node": "node_3281",
      "to_node": "node_3282",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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    {
      "from_node": "node_3282",
      "to_node": "node_3283",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3285",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.290)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.186)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
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    {
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      "to_node": "node_3289",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
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      "to_node": "node_3290",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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    {
      "from_node": "node_3290",
      "to_node": "node_3291",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3293",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
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    {
      "from_node": "node_3293",
      "to_node": "node_3294",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006112)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.238)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)",
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    {
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      "to_node": "node_3300",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.445)",
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    {
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      "to_node": "node_3301",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
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    {
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      "to_node": "node_3302",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_3304",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)",
      "action_type": null,
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    {
      "from_node": "node_3304",
      "to_node": "node_3305",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.350)",
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    {
      "from_node": "node_3305",
      "to_node": "node_3306",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
      "action_type": null,
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    {
      "from_node": "node_3306",
      "to_node": "node_3307",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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    {
      "from_node": "node_3307",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_3309",
      "to_node": "node_3310",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004287)",
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    {
      "from_node": "node_3310",
      "to_node": "node_3311",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
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    {
      "from_node": "node_3311",
      "to_node": "node_3312",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.232)",
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    {
      "from_node": "node_3312",
      "to_node": "node_3313",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.603)",
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    {
      "from_node": "node_3313",
      "to_node": "node_3314",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
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    {
      "from_node": "node_3314",
      "to_node": "node_3315",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
      "action_type": null,
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    {
      "from_node": "node_3315",
      "to_node": "node_3316",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3317",
      "to_node": "node_3318",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.437)",
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    {
      "from_node": "node_3318",
      "to_node": "node_3319",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.326)",
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    {
      "from_node": "node_3319",
      "to_node": "node_3320",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
      "action_type": null,
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    {
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      "to_node": "node_3321",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.274)",
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    {
      "from_node": "node_3321",
      "to_node": "node_3322",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3323",
      "to_node": "node_3324",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
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    {
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      "to_node": "node_3325",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_3325",
      "to_node": "node_3326",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.393)",
      "action_type": null,
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    {
      "from_node": "node_3326",
      "to_node": "node_3327",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)",
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    {
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      "to_node": "node_3328",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
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    {
      "from_node": "node_3328",
      "to_node": "node_3329",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3331",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
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    {
      "from_node": "node_3331",
      "to_node": "node_3332",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004003)",
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      "to_node": "node_3333",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.258)",
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    {
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      "to_node": "node_3334",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
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      "scale_factor": null
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    {
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      "to_node": "node_3335",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_3337",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)",
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      "to_node": "node_3338",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005706)",
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      "from_node": "node_3338",
      "to_node": "node_3339",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.312)",
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      "from_node": "node_3339",
      "to_node": "node_3340",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006170)",
      "action_type": null,
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    {
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      "to_node": "node_3341",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
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    {
      "from_node": "node_3341",
      "to_node": "node_3342",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.425)",
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    {
      "from_node": "node_3342",
      "to_node": "node_3343",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3344",
      "to_node": "node_3345",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003474)",
      "action_type": null,
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    },
    {
      "from_node": "node_3345",
      "to_node": "node_3346",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
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    {
      "from_node": "node_3346",
      "to_node": "node_3347",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.328)",
      "action_type": null,
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    {
      "from_node": "node_3347",
      "to_node": "node_3348",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.410)",
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    {
      "from_node": "node_3348",
      "to_node": "node_3349",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
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    {
      "from_node": "node_3349",
      "to_node": "node_3350",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
      "action_type": null,
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    {
      "from_node": "node_3350",
      "to_node": "node_3351",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
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    {
      "from_node": "node_3351",
      "to_node": "node_3352",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3353",
      "to_node": "node_3354",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.536)",
      "action_type": null,
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    {
      "from_node": "node_3354",
      "to_node": "node_3355",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.555)",
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    {
      "from_node": "node_3355",
      "to_node": "node_3356",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
      "action_type": null,
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    },
    {
      "from_node": "node_3356",
      "to_node": "node_3357",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)",
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    {
      "from_node": "node_3357",
      "to_node": "node_3358",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3359",
      "to_node": "node_3360",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004202)",
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    {
      "from_node": "node_3360",
      "to_node": "node_3361",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004445)",
      "action_type": null,
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    {
      "from_node": "node_3361",
      "to_node": "node_3362",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005490)",
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    {
      "from_node": "node_3362",
      "to_node": "node_3363",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
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    {
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      "to_node": "node_3364",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
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    {
      "from_node": "node_3364",
      "to_node": "node_3365",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
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    {
      "from_node": "node_3365",
      "to_node": "node_3366",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3368",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.290)",
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    {
      "from_node": "node_3368",
      "to_node": "node_3369",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003725)",
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    {
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      "to_node": "node_3370",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
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    {
      "from_node": "node_3370",
      "to_node": "node_3371",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)",
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    },
    {
      "from_node": "node_3371",
      "to_node": "node_3372",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005518)",
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    {
      "from_node": "node_3372",
      "to_node": "node_3373",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
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    {
      "from_node": "node_3373",
      "to_node": "node_3374",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
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    {
      "from_node": "node_3374",
      "to_node": "node_3375",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3376",
      "to_node": "node_3377",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006045)",
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    {
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      "to_node": "node_3378",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.179)",
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    {
      "from_node": "node_3378",
      "to_node": "node_3379",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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    {
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      "to_node": "node_3380",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3382",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.000976)",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.626)",
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    {
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      "to_node": "node_3384",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.003720)",
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    {
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      "to_node": "node_3385",
      "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,
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    {
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      "to_node": "node_3386",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.179)",
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    {
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      "to_node": "node_3387",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
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    {
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      "to_node": "node_3388",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
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    {
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      "to_node": "node_3389",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3391",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004515)",
      "action_type": null,
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      "to_node": "node_3392",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.618)",
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      "to_node": "node_3393",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.206)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
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      "to_node": "node_3394",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006393)",
      "action_type": null,
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      "reasoning": "Increase all_members thickness by 11%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
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      "to_node": "node_3398",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "to_node": "node_3401",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3404",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 47%",
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      "grammar_action": "SCALE_PARAM(7, thickness, 1.471)",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.359)",
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      "from_node": "node_3405",
      "to_node": "node_3406",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)",
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      "from_node": "node_3406",
      "to_node": "node_3407",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
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    {
      "from_node": "node_3407",
      "to_node": "node_3408",
      "edge_type": "modification",
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    {
      "from_node": "node_3409",
      "to_node": "node_3410",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)",
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    {
      "from_node": "node_3410",
      "to_node": "node_3411",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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    {
      "from_node": "node_3411",
      "to_node": "node_3412",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 24%",
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    {
      "from_node": "node_3415",
      "to_node": "node_3416",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.410)",
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    {
      "from_node": "node_3417",
      "to_node": "node_3418",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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    {
      "from_node": "node_3418",
      "to_node": "node_3419",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
      "action_type": null,
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    {
      "from_node": "node_3419",
      "to_node": "node_3420",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3421",
      "to_node": "node_3422",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)",
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    {
      "from_node": "node_3422",
      "to_node": "node_3423",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)",
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    {
      "from_node": "node_3423",
      "to_node": "node_3424",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)",
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    {
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      "to_node": "node_3425",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3427",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003118)",
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    {
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      "to_node": "node_3428",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)",
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    {
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      "to_node": "node_3429",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.318)",
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    {
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      "to_node": "node_3430",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.355)",
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    {
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      "to_node": "node_3431",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3433",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.460)",
      "action_type": null,
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    {
      "from_node": "node_3433",
      "to_node": "node_3434",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.337)",
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    {
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      "to_node": "node_3435",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.316)",
      "action_type": null,
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    {
      "from_node": "node_3435",
      "to_node": "node_3436",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
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    },
    {
      "from_node": "node_3436",
      "to_node": "node_3437",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
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    {
      "from_node": "node_3437",
      "to_node": "node_3438",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.631)",
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    {
      "from_node": "node_3438",
      "to_node": "node_3439",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
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    {
      "from_node": "node_3439",
      "to_node": "node_3440",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3441",
      "to_node": "node_3442",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
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      "scale_factor": null
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    {
      "from_node": "node_3442",
      "to_node": "node_3443",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.631)",
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    {
      "from_node": "node_3444",
      "to_node": "node_3445",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.603)",
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      "to_node": "node_3448",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)",
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    {
      "from_node": "node_3448",
      "to_node": "node_3449",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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      "to_node": "node_3450",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.425)",
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    {
      "from_node": "node_3450",
      "to_node": "node_3451",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3453",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 5",
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      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.225)",
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    {
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      "to_node": "node_3455",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.267)",
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    {
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      "to_node": "node_3456",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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      "to_node": "node_3463",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
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      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
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      "to_node": "node_3472",
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      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.437)",
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    {
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      "reasoning": "Add member connecting joints 2 and 6",
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      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3481",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)",
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.435)",
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    {
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      "reasoning": "Add member connecting joints 2 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003933)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.490)",
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.238)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_3489",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.321)",
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      "to_node": "node_3491",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002949)",
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      "to_node": "node_3492",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
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    {
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      "to_node": "node_3493",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.297)",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.475)",
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    {
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      "to_node": "node_3496",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3498",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "to_node": "node_3499",
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      "reasoning": "Add member connecting joints 5 and 6",
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      "to_node": "node_3500",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.111)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.403)",
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      "to_node": "node_3505",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_3506",
      "to_node": "node_3507",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004186)",
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      "to_node": "node_3508",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
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      "to_node": "node_3509",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.309)",
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      "to_node": "node_3510",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
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      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)",
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      "to_node": "node_3511",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
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      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)",
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      "to_node": "node_3512",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3514",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 5",
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      "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005900)",
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    {
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      "to_node": "node_3515",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002943)",
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    },
    {
      "from_node": "node_3515",
      "to_node": "node_3516",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
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    {
      "from_node": "node_3516",
      "to_node": "node_3517",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005826)",
      "action_type": null,
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    },
    {
      "from_node": "node_3517",
      "to_node": "node_3518",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006516)",
      "action_type": null,
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    },
    {
      "from_node": "node_3518",
      "to_node": "node_3519",
      "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,
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    },
    {
      "from_node": "node_3519",
      "to_node": "node_3520",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.183)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    },
    {
      "from_node": "node_3520",
      "to_node": "node_3521",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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  ]
}